#help-0

1 messages · Page 256 of 1

fickle hamlet
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i think at the least there are 50 people who r waiting for it

alpine sable
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for me personally like 25 people wanted to see if i had succeeded

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which i did

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i finished the middle education with straight a's

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but now im higher education and itll be harder

fickle hamlet
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i kinda got used to it since it has always been like that had responsibilities ever since

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i had straight a's all my life

alpine sable
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i didn't

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i used to be stupid as fuck

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honestly

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I struggled so hard

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but i think its because i got everything delayed

fickle hamlet
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bt i did too

alpine sable
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puberty started when i was 14

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😭

fickle hamlet
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i missed out on of many things because i was too busy studing

alpine sable
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now that i have one extra year over others

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itll be easier

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i didn't i definitely didn't

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that's one positive aspect

fickle hamlet
alpine sable
#

i'm pretty good at the questions

fickle hamlet
fickle hamlet
alpine sable
#

Show sqrt(0.5x-1)=3 is an easy one

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0.5x-1=9

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0.5x=10

fickle hamlet
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yupp

alpine sable
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x=10

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easy

fickle hamlet
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nooooooooooooou

alpine sable
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x20

fickle hamlet
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x=20

alpine sable
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**

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Yes

fickle hamlet
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yeah

alpine sable
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i misclicked on my keyboard

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i corrected before u dont worry

fickle hamlet
#

then its fine

alpine sable
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at least on my screen

fickle hamlet
#

man i m like a math teacher

alpine sable
#

theres good and bad math teachers

fickle hamlet
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what am i

alpine sable
#

so far so good

fickle hamlet
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thnks for the compliment

alpine sable
#

Airie solves sqrt(0.5x-1) < 3 and gives as solution x=0 v=20 why is this not correct?

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thats a question

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the answer is obviously

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it will be negative sqrt

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thats no bueno

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it won't work

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so it's can only be 20

fickle hamlet
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send the ques

alpine sable
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that's the legit question

fickle hamlet
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yeah i mean the pic

alpine sable
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one sec

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its dutch tho

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so itll be hard to read

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it's pretty much this

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and the equation reuslts in x=0 v x=20 according to Arie

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the book tells us that is not correct and that Arie made a mistake

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We must point out what Arie's mistake was

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And that is that if 0.5*0 results in 0 meaning sqrt(-1)<3

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And sqrt can't be negative

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so that's not correct

fickle hamlet
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see since the sign is less that and not less than equal to

alpine sable
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what does that even mean

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what is since

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im bad with english math

fickle hamlet
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that means x can not be 20

alpine sable
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let me see the answers

fickle hamlet
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x has to be less than 20 so the answer will be 0

alpine sable
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The answer is

fickle hamlet
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??

alpine sable
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That the sqrt can't be negative as it would result in sqrt(-1)

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But huh

fickle hamlet
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thats true too

alpine sable
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so arie is stupid

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he made 2 mistakes

fickle hamlet
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yeah the answer wont be 0 nor 20

alpine sable
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that's crazy

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the book is known to be stupid

fickle hamlet
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cause x can not be 20 cause there is no equal sign in the expression

alpine sable
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I'll translate you the whole exercise maybe im stupid

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sending you the exercise it self will be useless

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you wont understand a word

fickle hamlet
alpine sable
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Given is a graph of the formula f(x) = sqrt(0.5x-1) and the line y=3

a. For which function values ​​of x do function values ​​exist?
b. Show that sqrt(0.5x-1)=3 follows x=20
c. Arie solves the inequality sqrt(0.5x-1)<3 using the graph. He gives the solution x<20 and x<0. What mistake did he make?

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I was with c

fickle hamlet
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okay do uk how to solve the graphs

alpine sable
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The answer is:

x=0 is no solution because sqrt(0.5*0-1) = sqrt(-1) and that does not exist

alpine sable
fickle hamlet
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cause the option c will be easire if you know how to solve it

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like do u know how to draw it

alpine sable
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yes

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I use dots however

fickle hamlet
alpine sable
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but u told me x=20 is neither an answer

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and the book does say it is

fickle hamlet
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no the book says x<20 not x=20

alpine sable
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Oh

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Is that key

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Ooh

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Wait

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I'm so fucking stupid

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holy fuck

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Yeah im gonna need to lend some of your math skills

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this is emberassing

fickle hamlet
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see i told u

alpine sable
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crazy

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I'm so stupid

fickle hamlet
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dw i once shouted 20+30+20=50 infront of 40 pelople with confidence

alpine sable
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Lol

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70

fickle hamlet
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ikkkkkkkrrrrrrr

alpine sable
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Crazy

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But do u know this shit

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f(x)<=g(x)

fickle hamlet
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and my friend waas like so u r good at maths

alpine sable
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When f(x)=sqrt(6-x)

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g(x) = sqrt(x^2+4)

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h(x)=-x+4

alpine sable
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i never answer in public

fickle hamlet
alpine sable
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the only thing that can happen is bad

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nothing good

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no one will award me if i have it correct

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but i will be emberassed if i dont have it correct

fickle hamlet
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no i kinda like embarassing moment they r nice to revisit

alpine sable
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so why would i even risk it

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i have them in the shower

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its painful

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The revisits

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i've had some truly emberassing moments

fickle hamlet
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brooo u dont even get me started on how it is when u do that with ur friends

fickle hamlet
alpine sable
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Oh

fickle hamlet
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by mistake

alpine sable
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no one is going to forget that

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It's gotta be horrible

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i've had some so emberassing moments

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but boys dont share

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i can guarantee you

fickle hamlet
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whyyyy

alpine sable
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no boy shares there emberassing moment with another

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it's not gonna happen

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guys keep their problems to themself i guess

fickle hamlet
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tell me urs

alpine sable
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No

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it's too bad

fickle hamlet
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comeon doent matter'

alpine sable
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Nah it's very bad

fickle hamlet
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dudee comeonnnnnnnnnnnn

alpine sable
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there's no way i'd say it to any one ever

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i pray to gods every night everyone forgot it

fickle hamlet
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do it for the sake of our 2 hour friendship

alpine sable
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I can tell u a stupid mistake

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but not the things that are truly bad

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Because they are too bad

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I've had some so fucking emberassing moments you cant even realise

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what youre thinkin rn 810

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*10

fickle hamlet
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thats not fair , did u do some1 bad or some1 did u bad

alpine sable
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No

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i did no one bad

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no one did me bad

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but it's just emberassing

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but i did show up once to work

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after a 45m drive

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realising i didnt need to work

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when i was waiting for the shift leader

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😭

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i ran

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out of there

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and hoped no one saw me

fickle hamlet
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bro u kidding me

alpine sable
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yea

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its not bad at all

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because the bad shit i aint sayin

fickle hamlet
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i actually walked once in the afternoon and our afternoon are like crazy like its 40 degree for an hour with my bagpack all heavy

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realising i didnt have any class and that they msges it in the grp chat

fickle hamlet
fickle hamlet
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i aint any srsy bad stuff so i can relate y u r not telling bt if u dont wanna to thats fine ig

fickle hamlet
alpine sable
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but running into the boys room is not that akward

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it's worse when running into the girl room

fickle hamlet
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washroom

alpine sable
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because then you're a creep

fickle hamlet
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bt i didnt do it intentionally

alpine sable
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guys dont do it intentionally either 😭

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i luckily never ran into a women ro om

fickle hamlet
alpine sable
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but some of my friends did

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and they remember

alpine sable
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but most dont

fickle hamlet
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ikkkk

alpine sable
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its problem with social media

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guys are often pointed out as the bad guy

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but it's more often th an not somewhere in the middle

fickle hamlet
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idk i left social media long ago

alpine sable
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im pretty inactive on social media too

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especially no tiktok

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that's gonna mess the brain up

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i'm telling u

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in 20 years we will see how hard the brains got messed up

fickle hamlet
alpine sable
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perfect

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i hope they ban it here too

fickle hamlet
alpine sable
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here they do

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entire families including parents are addicted

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people have 8 hours of tiktok screen time

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it's horrible

fickle hamlet
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thats really saddd

alpine sable
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it's incredibly sad

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I truly believe our generation will be on average a lot dumber

fickle hamlet
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people on tiktok are really dumb too

alpine sable
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THan any generation before

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Yes

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Lmao

fickle hamlet
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they are the gen z

alpine sable
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yea

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i dont see myself as gen z

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i excluded myself

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im not what they represent us

fickle hamlet
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i consider myself an old soul even my friends call me a grandpa so

alpine sable
#

people are truly surprised when i tell them what i achieved already and then they go and tell about their crazy screentime

fickle hamlet
alpine sable
#

Gen Z is represented by the top 0.1% dumb people

fickle hamlet
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gotta put the good leg frwd

fickle hamlet
alpine sable
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they are left

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Completely

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I'm really into statistics

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i got a statistics class aswell

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this is fun to calculate

fickle hamlet
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i m not into statistic

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i do good in it but i m not into it

fickle hamlet
alpine sable
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idk how to explain it in english

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let me translate

fickle hamlet
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okyyy

alpine sable
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it's hard in english

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i'm terrible at english and especially these terms

fickle hamlet
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just give the summary

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bro i m bad at language too

alpine sable
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it just shows the population

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and how it's pretty much put out

fickle hamlet
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ohhokaayyokayy

alpine sable
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it shows the average it and it shows how much people fall within a range

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so between 85 and 115 is about 70% of the population

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and the rest is either above or under

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15% above 15% under

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it's interesting

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you can also put it in a table

fickle hamlet
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ohhh thats sad man

alpine sable
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why does that delete

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w hat the heck

fickle hamlet
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idk was gonna ask u the same

alpine sable
#

i dont delete it

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some bot does

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or some guy is trolling

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but intelligence isnt just this

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you can be socially intelligent too

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good in making people do things is an important skill

fickle hamlet
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ikkk i understand

alpine sable
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it deletes i---q

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why

fickle hamlet
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some1 is telling us to get the fuck out i think

alpine sable
#

yea

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lowkey

fickle hamlet
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they jst jealous

alpine sable
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yea probably

fickle hamlet
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they cant find a friend online'

alpine sable
#

yes

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but jealousy is important

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it can drive you

fickle hamlet
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it doent delete mine tho'

alpine sable
#

send i---q

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without the -

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it'll delete its got to

fickle hamlet
alpine sable
#

i dont do that

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i don't cry anymore

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it's been 5 years

fickle hamlet
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i do i think i m a crybaby

alpine sable
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ppl used to call me cry baby

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so i dont cry anymore

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only cry to fix dry eyes

fickle hamlet
alpine sable
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but thats not truly crying

fickle hamlet
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i was just crying today

alpine sable
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why what happened

fickle hamlet
alpine sable
#

maybe one day ill cry so hard to catch up

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but i dont know

fickle hamlet
alpine sable
fickle hamlet
alpine sable
#

it's just a house but on the other hand it means os much

fickle hamlet
#

i dont hold it in watever i m feeling

alpine sable
#

I'm holding it all back but it feels good actually

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having own problems idk

fickle hamlet
alpine sable
fickle hamlet
#

its on other kand so yeah

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land*

alpine sable
#

Oh

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i'm fascinated about our brain

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it's crazy how smart we are but also how smart we think we are

fickle hamlet
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nobody really cares about our previous house bt i do a lot

alpine sable
#

did u move to something better or not

fickle hamlet
alpine sable
#

are u better off objectively

alpine sable
#

exactly

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smart people often don't say they are smart

fickle hamlet
alpine sable
fickle hamlet
alpine sable
#

you've gotta be good in seeing patterns

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arent you

fickle hamlet
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i m kinda good at arts

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so maybe'

alpine sable
#

i mean patterns as into

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number patterns

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to see what they have in common

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or how it works

fickle hamlet
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yeahh pretty good at it ig

alpine sable
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65536, 256, 16, ...

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What will come next

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try this

fickle hamlet
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i just really put in the effort in it

alpine sable
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i'm too dumb

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i think its 1 but im dumb

fickle hamlet
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its actually 4

alpine sable
#

i see the pattern

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like

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65536/256=256

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256/16=16

fickle hamlet
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it 2^16,2^8,2^4

alpine sable
#

how

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do you know

fickle hamlet
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so the next has got to be 2^2

alpine sable
#

Crazy

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i knew it

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you are good at pattern recognition

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3968, 63, 8, 3, ...

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what will follow

fickle hamlet
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cause i study cs and my professor made us learn till 2^10

fickle hamlet
alpine sable
#

so you basically recognized the numbers

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thats pretty lucky i guess

fickle hamlet
#

yeahh

alpine sable
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i see the pattern in this one

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i wont tell the answer but im pretty sure i knwo it

fickle hamlet
#

is it 2

alpine sable
#

i think it is

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the problem is

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i dont have the answers

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and there are no answers available

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it can also be 1

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but i think its 2

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it's something to the power of something again im pretty sure

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try this

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3968/63=63

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rounded

fickle hamlet
#

it suddenly turned into quiz

alpine sable
#

thats no coincidence

fickle hamlet
alpine sable
#

its 2

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yes

fickle hamlet
#

similarly add 1 in 63 takes its sq root it becomes 8

alpine sable
#

so its sqrt of 4

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its 2

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that makes sense

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actually

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you are really good at this

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then ig ot a crazy one

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1, 0, -1, 0, ...

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this one goodluck mate

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ive been looking at indefinitely

fickle hamlet
#

whyyy r u doint this to mee

alpine sable
#

with no success

alpine sable
#

its either -1 or 1

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i think it's -1 again

fickle hamlet
#

whyy

alpine sable
#

i think the pattern is 1,0,-1,0,-1,-2,-1

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it falls back one

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and then goes further

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i believe

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or well goes up one

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every 2 times

fickle hamlet
#

man i acidently clicked on my pdf

alpine sable
#

idk what else could be going on

fickle hamlet
#

see first one all the even places has 0

alpine sable
#

yes

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but thats not enou gh

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there's gotta be something obvious but not obvious

fickle hamlet
#

gather all the odd places values

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it become 1,-1, right theres no next value

alpine sable
#

so what are you saying

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this is getting too big brain for me

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fuck this bot

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i got on an i-q test 112

fickle hamlet
#

whyy

alpine sable
#

i think ur probably l ike 130

fickle hamlet
#

nah probably 120

alpine sable
#

Try one

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i got one done irl

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because well my parents thought i was kinda dumb as i told u i struggled a lot at shcool

fickle hamlet
#

dudeeeeeee its the last one

alpine sable
#

but i did well

fickle hamlet
#

thats gooddd

alpine sable
#

yes

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they were surprised

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no faith

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but it's whatever

fickle hamlet
#

proud of you

alpine sable
#

But what about this

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ill send another one

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easier

fickle hamlet
#

ehh dont consider it whatever u put the work into it masn

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okayy

alpine sable
#

A, D, G, J, ...

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it's M

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it's gotta be

fickle hamlet
#

is it m

alpine sable
#

Yes

fickle hamlet
#

yeah

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add 3

alpine sable
#

21, 20, 18, 15, 11, ..

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6

fickle hamlet
#

5

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sry 6

alpine sable
#

yes -5

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so 6

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8, 6, 7, 5, 6, 4, ...

fickle hamlet
#

5

alpine sable
#

6

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i say 6

fickle hamlet
#

-2 +1

alpine sable
#

+2 +1 -1

fickle hamlet
#

no its -2,+1

alpine sable
#

Wait

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yes

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you rright

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im dumb

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it's 55

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5

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1, 1, 2, 3, 5, ...

fickle hamlet
#

yeahh thats itttt

alpine sable
#

last one i got

fickle hamlet
#

dont ask me ques man i freak out

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8

alpine sable
#

Yes

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thats correct

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Its fiboanicc sequence

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Fibonacci

fickle hamlet
#

yeah ik

alpine sable
#

you got a 100% accuracy score

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Crazy

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so it was all correct

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Except the one we skipped

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the -1 1

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thingy

fickle hamlet
#

hehehe all that olmpiads i did worked out

alpine sable
#

Lol

fickle hamlet
#

yeah i dont wanna think about it tho

alpine sable
#

yea its probabl y a hard one tho

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maybe some genius here knows it

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it can also be 12

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*1

fickle hamlet
#

i will think about it in my class

alpine sable
#

it might just be as simple as 1,0,-1,0,1

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and just repeat

fickle hamlet
#

or i will just ask my professore

alpine sable
#

1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1,0,-1,0,1

#

this might just be the pattern

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it would make sense kinda

fickle hamlet
#

whats this

alpine sable
#

1, 0, -1, 0, ...

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the question

fickle hamlet
#

ohh right

alpine sable
#

1, 0, -1, 0, 1, 0, -1

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i think this is the sequence

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it's the most obvious pattern

fickle hamlet
#

man how long have we been doing this shit

alpine sable
#

the only one you can clearly point out

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2.5hrs

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but i understand my maths now

fickle hamlet
#

wowwww i havent even talked to father that long in my whole life

fickle hamlet
alpine sable
#

but isnt it late in india

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its like 3hrs ahead of us

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3.5hrs even

fickle hamlet
#

yeah its 3.17 am

alpine sable
#

i sleep at 4

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till 8

fickle hamlet
#

bt its actually pretty normal for me

alpine sable
#

my sleep rythm is perfect but not at all healthy

fickle hamlet
alpine sable
fickle hamlet
#

the from 1pm to 4

alpine sable
#

Oh

fickle hamlet
alpine sable
#

you do catch up

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but you wont get your deep sleep then

fickle hamlet
fickle hamlet
alpine sable
#

you like that

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i can sleep wherever

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but not long

fickle hamlet
#

i can sleep wherever and whenever bt man i must really miss my house

fickle hamlet
alpine sable
#

it goes away over time tho

fickle hamlet
#

offc it doesnt bt since i m feeling it i wanna feel it all the way through

alpine sable
#

Sure

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you are way different than me

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i would surpress it

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till it's gone

fickle hamlet
#

i tried doing that did not work for me so here i am

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bt tbh i really run away from my prblm and shit

alpine sable
#

Yea

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i run away from problems aswell

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it's the best way to fix problems

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just dont acknowledge them and they will go awawy

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at least i hope so

fickle hamlet
#

yeah bt its bad when the prblms are the people

alpine sable
#

yea

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people who put their problems on me

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are no longer people i talk with

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i can help

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but i aint a problem solver

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for them

fickle hamlet
#

me tooooooooooo

alpine sable
#

i noticed good friends wouldnt put problems on you

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only bad friends do

fickle hamlet
#

bt offc thats not the case for the close ones

alpine sable
#

so now i just make sure to becareful

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yes

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But the close ones wont even do it

fickle hamlet
fickle hamlet
#

really*

alpine sable
#

guys are different

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than girls

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it's something society seems to deny these days

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but it is true

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guys wont share their problems ever

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at least not the ones i know

fickle hamlet
#

i prefer the one who do not everytime bt sometime they should

alpine sable
#

sometimes it depends

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if its like something i specifically can help with

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then yes

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but if its just an average problem

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not really honestly

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idk

fickle hamlet
#

even i dont share an average prblm dude

alpine sable
#

yeah thats good

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dont

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people have enough problems

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i feel like

fickle hamlet
#

thats so true

alpine sable
#

Society has so much problems

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the government of the netherlands just stepped up

fickle hamlet
#

every1 has prblms

alpine sable
#

very great

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Gm

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it's 00:00 here

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Nice

fickle hamlet
#

ohh its correct 3.30 here

fickle hamlet
alpine sable
#

Lol

#

its interesting how fast time passes

fickle hamlet
#

yeah cause we r a good company man

alpine sable
#

its said the older u get the faster time goes

fickle hamlet
#

thats what i think atleast

alpine sable
#

every year passes is 1/16th of my life rn

#

but when im 80

#

its 1/80

fickle hamlet
alpine sable
#

really

fickle hamlet
#

it states the more u rest or be still the faster time will fly

#

and the more u run the slower it gets

alpine sable
#

I heard theories

#

that since the most memorable memories are in early life

#

the older u get the longer your childhood lasted in your head

#

because memorable moments often are more specific and detailed they seem to have taken longer

fickle hamlet
#

where do hear these theories

alpine sable
#

from some interesting youtubers with good reputation

#

vsauce or something hes called

#

he has these kinds of theories

fickle hamlet
#

ohhhh i jst watch tanmay bhat he is quite popular in india and he is funny

fickle hamlet
alpine sable
#

India is one of the fastest growing populations

#

India is huge

fickle hamlet
alpine sable
#

its actually true

#

the stats are there to proof it

fickle hamlet
#

theres atleast 80/100 people in my family

alpine sable
#

its pretty crwzy comparing it to EU

#

and US

fickle hamlet
alpine sable
#

crazy difference

fickle hamlet
alpine sable
#

Lol

fickle hamlet
#

ikkrrrr

#

its chaotic

alpine sable
#

This is little below average

#

but not much

#

i think both sides combined average is like 25

#

probably

#

these days

fickle hamlet
#

yeah i told u the side which has less cousin

#

u dont wanna know my family tress srsly

#

cause even idk the halp of them

alpine sable
#

tress?

#

tree

#

or

fickle hamlet
#

tree

alpine sable
#

Yes

#

okay

fickle hamlet
#

fcking typo

#

half

alpine sable
#

i did one for school

#

like 8 years ago

fickle hamlet
#

i did my brothers

#

just a year ago

alpine sable
#

avg children made by dutch parents is 1.7-1.8

#

if it wasnt for immigration itd decrease population

fickle hamlet
#

whats 1.7-1.8

alpine sable
#

but we got a lot immigration

#

children

fickle hamlet
alpine sable
#

Yes

#

mostly from turkey are morrocco

#

and now Ukraine

#

some ppl want to close the borders

#

some want them wide open

#

the government couldnt agree with each other

#

which is why they stepped up yesterday and resigned

fickle hamlet
#

wowww thats some stuff

alpine sable
#

we need to vote again soon

#

we got an immigration crisis

fickle hamlet
alpine sable
fickle hamlet
alpine sable
#

we quite small country

alpine sable
#

so not me

fickle hamlet
#

ohhokayyokayy

alpine sable
#

what is it ohlbee there

#

over

fickle hamlet
#

crazy chaotic

#

theres really pressure on kids to study

#

like every parents prime focus is studying

#

then government is pretty fcked up none of us like our current pm

#

its def like another world here i can say for sure

alpine sable
#

prime minisrer

#

?

fickle hamlet
#

yeah

alpine sable
#

we got that

#

aswell

#

he stepped up

fickle hamlet
alpine sable
#

nope

fickle hamlet
#

and religion thing is scary here so never go onto that

alpine sable
#

he plans to retake the seat after the vote

#

Wdym

fickle hamlet
fickle hamlet
alpine sable
#

i believe in nothing but i accept almost every thing

#

Oh

#

i guess i spoke too soon aswell

fickle hamlet
#

hahaha nice one

alpine sable
#

here we havw freedom of religion

#

so u can do whatever you want with religion

fickle hamlet
#

we do have that bt we have crazy lott religions and people really believe in then blindly so like yea

alpine sable
#

they get protective

fickle hamlet
#

yes very

alpine sable
#

Yes

fickle hamlet
#

see people here are humble bt not when it get on their religion

alpine sable
#

Here almost no one is religious

#

and those that are are barely

fickle hamlet
#

bt its very fun during festivals tho you should def visit here during festivals in future

alpine sable
#

Yes i might

#

I am going to Mumbai actually possibly

#

with my dad

fickle hamlet
#

reallyy i live in the same state

fickle hamlet
alpine sable
#

Hes working for a tech company that has a big office in Mumbai

#

and I can come with if id like

fickle hamlet
#

ohhokayyokaayy

alpine sable
#

Since i graduated this year

fickle hamlet
alpine sable
#

Yes but idk though

#

the company will send guards

#

why would they

fickle hamlet
#

it will be if u will come

alpine sable
#

is it really dangerous

#

that that is needed

fickle hamlet
#

like i said its different world

alpine sable
#

Its not apparently tho

#

my dad went a couple times

#

at all times he had a guard

fickle hamlet
alpine sable
#

He never goes to new york

#

But he might have a guard there idk

fickle hamlet
#

brooo focus on the emotions man

alpine sable
#

maybe he just does everywhere with higher risk

#

but i think i might go it would be totally different than western world

fickle hamlet
#

ask ur dad hows mumbai

alpine sable
#

he loves it

fickle hamlet
#

i bet he def wouldnt say its normal

alpine sable
#

But he did say its not what he expected

fickle hamlet
fickle hamlet
alpine sable
#

hes goes every 6months now

alpine sable
fickle hamlet
alpine sable
#

lol

#

Mumbai is big tho isnt it

#

it's like 20mill ppl there right

fickle hamlet
#

it is

alpine sable
#

crazy

fickle hamlet
#

i told you its chaotic too

alpine sable
#

do u think a western driver could drive properly in mumbai

tardy stag
#

what the heck is happening in here

fickle hamlet
#

def not

#

hii dude

#

we just made this our chat sry

alpine sable
#

In the begin at least

#

but now I understand

alpine sable
fickle hamlet
#

yeah

alpine sable
#

But its no big problem i think

#

theres enough channels left

fickle hamlet
#

actuallyy but noow i need to goo

alpine sable
#

Sleep?

#

4 am

fickle hamlet
#

my moms gonna beat my ass

alpine sable
#

Hahahha

fickle hamlet
alpine sable
#

Gn

#

ill close this and leave it to others

#

Hahhahaha

fickle hamlet
#

it was nice taking to you

alpine sable
#

yes

fickle hamlet
#

whats ur name

alpine sable
#

To you too

#

manuel

#

What is yours

fickle hamlet
#

mines nidhi

#

lets talk sometimes

alpine sable
#

yes

fickle hamlet
#

gn manuel

alpine sable
#

Gn nidhi

#

.close

lone heartBOT
#
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#
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Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

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uncut glen
#

Hi there! I need help with a question from diff eq. The prompt is 3. Solve the IVP. Final answers should be real-valued (no i involved).
2y′′′ + 3y′′ − 12y′ + 7y = 0, y(0) = 1, y′(0) = 0, y′′(0) = 2

uncut glen
#

I'm having a difficult time trying to find the constants' value(s)

tardy stag
vale crag
#

well it's just a linear system of equations you have to solve now

vale crag
uncut glen
#

how do I make it bigger

vale crag
#

idk take a better pic

tardy stag
#

you take another picture with a camera tht has more than one pixel

uncut glen
#

my phones all I got Sadge

tardy stag
#

something's up with your settings then

uncut glen
#

I looked at the image preview for that paper and it looks fine to me

#

but

#

anyways

#

thats not the purpose

tardy stag
#

but yeah it looks like you have a linear system you solved for A, B, and C

uncut glen
#

yeah

fierce siren
#

Oh

uncut glen
#

is my way of finding A legit?

tardy stag
#

so what's the issue? put those back into the general form

fierce siren
#

It’s hard to see @uncut glen

uncut glen
#

the issue is when I plug the values of A and C into the 3rd equation

#

it doesn't equal 2

#

that's the issue

#

and I don't know where I messed up

uncut glen
#

scroll up

#

😂

fierce siren
#

Actually now i can see

uncut glen
#

oh okay sweet!

#

I was gonna say it looks fine on my end

fierce siren
#

You can use cramers rule to solve systems of equations that have more than 2 variables

uncut glen
#

ill send my work rq for the rd equation

#

I had it on another page

tardy stag
#

cramers rule kinda sucks

#

it's wayyy more work than just doing the row reduction

uncut glen
#

there

#

can you see that alright

#

I just did it on my ipad

tardy stag
#

so what you can do is take your A, B, and C and see whether they satisfy the system of equations you wrote down

fierce siren
uncut glen
#

and they don't sadly

#

they satisy the first 2 equations

#

but not the 3rd for some reason

tardy stag
#

then you messed something up solving the system

uncut glen
#

yeah ik

#

thats what I'm trying to get help on

#

is figuring out where I went wrong

#

because I've like quadruplechecked my work now

#

and there doesn't look to be any errors that I can see of

#

like it all looks legit

tardy stag
# uncut glen

however you took this picture take one of your paper that way

uncut glen
#

oh okay bet

fierce siren
uncut glen
#

the 2nd and the third

#

but for the 2nd equation I multipled everything by a multiple of 2

#

to make the B's cancel out

uncut glen
fierce siren
tardy stag
#

yeah much

uncut glen
#

okay sweet sweet

fierce siren
#

You didn’t multiply

#

The 2 on rhe second equation

#

It was supposed to be -2

#

$-1 \cdot (A + 2 \cdot B + …) = -1 \cdot 2$

ocean sealBOT
#

pcheese2010

fierce siren
#

Yeah i was lazy to write the C part

uncut glen
#

OHHHH

#

Oh my goodness

#

you're right

#

I feel so stupid

#

thank you man lol

tardy stag
#

good catch

fierce siren
#

It happens, take a brake and relax… math is not supposed to be stressful

#

Mistakes like this indicates that you may doing this for long enough

uncut glen
#

❤️

#

thank you everybody

#

I appreciate you guys a lot

#

.close

lone heartBOT
#
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lone heartBOT
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After 15 minutes, feel free to ping <@&286206848099549185>.
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civic sapphire
lone heartBOT
civic sapphire
#

i need help understanding

last ether
#

Look at the y intercept

civic sapphire
#

explain

#

cant i just plug in the x

#

or no

last ether
#

You could but

#

The y intercept is gonna help you determine the coefficient

civic sapphire
#

.close

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wintry shore
#

hey,
for the problem:
e^.08t = 2500

i'm just curious if my steps/description of each step is correct:
common logarith, base e, e = natural logarithm, base e, e

  1. lne^.08t = ln(2500) -- dealing with e

  2. .08tlne = ln(2500) -- power rule

  3. .08t = ln(2500) -- because lne = 1 as log, base e, e = y ---> e^y = e = y = 1

  4. t = ln(2500)/(.08) - divide both sides by .08

  5. t ~ 97.8


I found another way to do it but I don't understand how they got there:

e^ln(2500) = e^.08t

Questions:
When/where should I put parenthesis?
is .08tlne the same as .08 * t * ln * e?
i understand lne = 1 but how is that solved in the problem? i basically ignored the rest of the equation and just took out lne to solve, is that how i was supposed to do it?

Thank you

outer portal
# wintry shore hey, for the problem: e^.08t = 2500 i'm just curious if my steps/description of...

Regarding your questions:

  1. You don't need to put parentheses in this particular equation. However, in more complex equations, it's important to use parentheses to indicate the order of operations.
  2. "lne" and "ln*e" are not the same. "ln(e)" means taking the natural logarithm of the number e, which is equal to 1. "ln * e" would suggest multiplication, which is not applicable in this context.
  3. you correctly simplified ln(e) to 1. However, you also need to consider the entire equation. It's not enough to just remove ln(e) and solve for t. You need to go through the appropriate steps to isolate t, which involves dividing both sides of the equation by 0.08.
wintry shore
#

should i think of it in terms of common logarithm?

#

natural logarithm, base e, e^.08t = natural logarithm, base e, e(2500)?

outer portal
wintry shore
#

correct. but how do i go about setting the entire equation to solve for this? i just know it by theorem.

#

oooh.

#

haha.

#

think i've got it.

#

to start:

#

b^y=x | log, base b, x = y, therefore,

y * log, base e, e^.08t = y * log, base e, 2500

To simplify, divide both sides by "y" then use power rule,

.08t*log, base e, e = log, base e, 2500

since log, base e, e is the same as ln(e), interchange then solve for t,

t = ln(2500)/.08ln(e)

how fun.

#

and then for this: e^ln(2500) = e^.08t, the equation above i was confused on, they just use b^y=x, did the same as i did with log, base b, x = y

#

@outer portal thanks Mark!

#

.close

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#
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After 15 minutes, feel free to ping <@&286206848099549185>.
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undone herald
#

I need help with

lone heartBOT
undone herald
#

Number

#

49

#

Please idk where to start

#

This is calc Iii

#

III

lone heartBOT
#

@undone herald Has your question been resolved?

outer portal
#

@undone herald still need help

undone herald
#

Yes

#

Thanks

#

It’s a plane though

outer portal
#

Wait

#

@undone herald The equation of the set of all points equidistant from points A(-1, 5, 3) and B(6, 2, -2) is:
(x - 2.5)² + (y - 3.5)² + (z - 0.5)² = (x + 1)² + (y - 5)² + (z - 3)² = (x - 6)² + (y - 2)² + (z + 2)²

undone herald
#

The answer key doesn’t look the same

outer portal
#

i’m confused

lone heartBOT
#

@undone herald Has your question been resolved?

tawny condor
#

,rotate

ocean sealBOT
lone heartBOT
#
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After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

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tribal valve
lone heartBOT
tribal valve
#

I don't know where to start

lone heartBOT
#

@tribal valve Has your question been resolved?

plain jay
#

you could try mapping the relationship between a and b (since they must be within the square) with a function and finding the domain or range of it

#

i haven't learned this kind of math tho so that's just a theory

tribal valve
#

alright

#

i’ll try

#

.close

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#
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median oar
#

End of 2nd paragraph

lone heartBOT
median oar
#

Are those just Complex and all the square roots stuff?

fallen verge
#

All solutions to polynomials

#

With integer coeffs

median oar
#

So radical stuff?

fallen verge
#

Yes

#

But also solutions to 5th degree polynomials etc

median oar
#

Ok let’s suppose we start with ℚ

#

I need to add all the roots, square roots cube roots etc

#

Then I need to add i

#

Then that’s algebraically closed?

fallen verge
#

Hmm i dont think so

tardy stag
#

no, because polynomials of degree 5+ cannot be solved with radicals

median oar
#

Ah

#

That’s why you pointed out 5

tardy stag
#

✨ Galois ✨

median oar
#

So other than the field ℂ there isn’t really an easy example of an algebraically closed field?

tardy stag
#

i mean there's the algebraic numbers the article is talking about

#

but that's kind of hard to describe

#

I'm confused why it says no finite field is algebraically closed though if I just think about F2

#

oh i see

surreal meadow
#

in general that product for all field elements + 1 has no roots

tardy stag
#

yeah as soon as I started typing it out I realized why I was silly

median oar
#

That article just says a lot about algebraic numbers in general and not the field of all of them

surreal meadow
#

an simple example of why Q is not algebraically closed is just x^2 - 2 = 0

tardy stag
#

they said Q with all rational exponents and with i

median oar
#

So algebraically closed fields are just hard to describe outside of ℂ

surreal meadow
#

oh i see

median oar
#

But they exist

tardy stag
#

wait does that mean that (x - a)(x - b)(x - c)... + 1 is always an irreducible polynomial for a given finite field? @surreal meadow

surreal meadow
#

yeah that's the idea

#

evaluation at any element gives you 1

tardy stag
#

answers another question i've had which is how tf do you find those

surreal meadow
#

wdym find those

#

like polynomials with no solution in the finite field

tardy stag
#

irreducible polynomials yeah

surreal meadow
#

oh i see

#

wait let me retract that statement

#

one sec

tardy stag
#

i've always seen like "oh take F7 with the polynomial x^8 - x^4 + x^2 + 1" or whatever and I'm like... how did you get that

surreal meadow
#

no i don't think they're necessarily irreducible

tardy stag
#

wait i'm thinking of F(2^7) nvm

#

maybe i ask an actual well-formed question in another channel...

median oar
surreal meadow
#

that's not enough to guarantee irreducible i don't think

#

like you could have nonlinear factors

#

which correspond to solutions in extensions of the field

median oar
#

Where does it say it’s irreducible

#

I only see that it says there’s no 0 in F

surreal meadow
#

wait does that mean that (x - a)(x - b)(x - c)... + 1 is always an irreducible polynomial for a given finite field?

tardy stag
#

it doesn't, that was my question

median oar
#

Oh

surreal meadow
#

i missed that when i read it too

median oar
#

Lmao

median oar
surreal meadow
#

yeah there's algorithms for constructing irreducibles but i don't know them by heart

#

i don't think this is one of them, except for F_3 and F_2 ofc

median oar
#

There’s criterion’s aren’t there

#

One from gauss one from eisenstein