#How to solve this kind of Equations

652 messages · Page 1 of 1 (latest)

spice pier
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idk how to solve it

open marshBOT
hexed cargo
spice pier
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btw why + and - at the same time

hexed cargo
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to sum it up the product of two factors is 0 if at least one factor is 0

hexed cargo
#

these are your solutions

near cargo
# spice pier idk how to solve it

First one :

You set let's say a variable Y = x + 2
so you set it to the content of the square

then you say that Y² = 49
so

√Y² = √49
Y = √49 or Y = - √49

x + 2 = √49 or x + 2 = - √49
x += √49 - 2 or x = - √49 - 2

S = { √49 - 2 ; - √49 - 2 }

spice pier
#

watafak

hexed cargo
#

lol substitution

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but also a way

near cargo
# spice pier watafak

nvm, just a big method my teacher showed me, but basicly : squareroot on both sides

pastel sierraBOT
near cargo
spice pier
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how yall is so good at math

hexed cargo
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From this if you resolve the absolute value you get the plus/minus solution

near cargo
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i just love math but i'm not good at math

spice pier
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this one

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i have tried

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but failed

near cargo
# spice pier this one

Pls next time make you x look some more fancy x so you don't think it is the multiplication sign

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i'll solve and tell you how if you want ?

spice pier
spice pier
hexed cargo
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and

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7^2 = 49

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not 42

spice pier
#

i am stupid

near cargo
# spice pier yes

lmao i know i already did something like this and yet i am struggling

spice pier
#

its like 5.7...

hexed cargo
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also

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It's

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b^2 - 4ac

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you forgot 2 and it's -4

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,calc 7^2-4*(2)*(-4)

pastel sierraBOT
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Result:

81
hexed cargo
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,calc sqrt(81)

spice pier
pastel sierraBOT
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Result:

9
spice pier
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tommorow is the test

hexed cargo
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by subtracting 4 on both sides

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,, ax^2+bx+c = 0

pastel sierraBOT
spice pier
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ehh like to get 0 in right side?

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to use formula

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i got it ig

pastel sierraBOT
spice pier
#

thanks bacc

near cargo
spice pier
near cargo
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tried 3 method and got wrong on all of them

hexed cargo
pastel sierraBOT
near cargo
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I don't how i can't do this i litterally have that question everyday

hexed cargo
#

what is the question

spice pier
near cargo
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ax² + bx + c = 0

hexed cargo
near cargo
hexed cargo
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2-3x^2+3x=-2-2+6x

near cargo
hexed cargo
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-3x^2-3x+6=0

near cargo
hexed cargo
#

x^2+x-2=0

hexed cargo
#

-(-2-2+6x) = 4-6x

near cargo
#

Ohhhh i am so dumb

spice pier
#

i have maked this shit

hexed cargo
#

so far so good

spice pier
hexed cargo
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bro

near cargo
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my brain hurts there is something i dont understand

hexed cargo
#

that's 4th grader stuff

near cargo
spice pier
near cargo
hexed cargo
#

are yall high schoolers

spice pier
#

how to make those faster like

near cargo
near cargo
spice pier
hexed cargo
#

ok

hexed cargo
#

one day you realize quadratic equations aint that deep

near cargo
near cargo
near cargo
spice pier
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and thats hard to teach those shit in norwegian language but i am russian and i somehow know english

hexed cargo
near cargo
hexed cargo
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why are you question marking me

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am I unclear

near cargo
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Sorry i'm not a native english speaker i dont understand much thing

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sorry

spice pier
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nice english ngl

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i am not native either

near cargo
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but i don't get what are you talking about, or at least, what does algebra have to do with me always getting wrong anwsers on easy things

hexed cargo
near cargo
hexed cargo
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arabic term

near cargo
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dude i am 16 i know i am dumb but i know what algebra means 😭

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i meant why are you talking algebra

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i said "i suck at math" you said "that's algebra"

hexed cargo
#

what i mean is

near cargo
hexed cargo
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that your problem weak at calculating stuff

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using addition/subtraction mathematical operations wrong etc

near cargo
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i understand everything but can't use the thing understand

hexed cargo
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practice

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take it slow

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you already had a great idea

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in the beginning

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"substitution"

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that was smart

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yes for a problem like this prob overkill

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but good thinking

near cargo
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but the issue is that i already practice

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otherwise i wouldn't be able to tell you that i suck at math

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algebra *

hexed cargo
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then you are doing too much

near cargo
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but why would practicing too much would be bad ?

spice pier
# hexed cargo practice

watafak i get brain orgasm when i do right in math is that ok
my brain starts to hurt when i dont right

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thats the reason why yall so much into math?

near cargo
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the anwser doesn't change because of peoples interpretation, it changes because you did something to the equation

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plus when you get everything right you just feel rly good

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and rly smart

spice pier
spice pier
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plz

near cargo
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my pc is ded + i don't make data learning ai

spice pier
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sad

near cargo
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i prefer to make games

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tons

spice pier
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banned one

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game

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like

near cargo
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BRO WHY TF I STILL GET IT WRONG

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ohh right no i am just dumb nvm

spice pier
near cargo
spice pier
near cargo
spice pier
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now gn

hexed cargo
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your body gets tired

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if you want to be better next training

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you need

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rest

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same for your brain

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the information needs digestion

near cargo
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i do 30 min to 1 h a day...

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i mean, it is irregular af,,sometimes i do 12h and all

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plus i don't only love math

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i love physics, programming, drawing,,many other thing i have to keep updated in my small brain

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i would love to tell you i have magnus carlsen's memory, but it would be a huge lie

hexed cargo
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what kind of programs are you doing

near cargo
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like sorta scheme

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when i have acess to school pc, i do leetcode problems

near cargo
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What does programming uses in general...

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😮‍💨 I use math to represent it on a paper as i dont have a screen

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but i don't count it as the math i acctually want and need to be better at which is algebra

hexed cargo
near cargo
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the math i do for programming is this

near cargo
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i mix math notation with programming existing functions

hexed cargo
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then your body will be balanced

near cargo
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(i do sport btw)

hexed cargo
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ye

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good

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you are already so good

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dont you realize

near cargo
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ok wait, this is all i do : piano, caligraphy, basketball, volleyball, drawing, writing, ui design, programming, math, physics

hexed cargo
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you are doing like the best

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so yea

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keep

near cargo
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so that means my main thing isn't math

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but even with that i still suck at math

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but for example i am pretty good at phyisics even tho i invest less time in physics than math

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same for everything else

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the only thing i don't manage to apply is math

hexed cargo
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good at math bad at physics

near cargo
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personally i find physics so easy cuz you litterally just apply formula

near cargo
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i don't feel the urge to understand why it works like in math

hexed cargo
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you should

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if you get into more advanced physics

near cargo
near cargo
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math is my favorite thing for now

hexed cargo
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it's a great foundation for many things in life

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especially physics

near cargo
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yeah you're right

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i wish i could do math as easially as physics

hexed cargo
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haha

near cargo
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i have to be cursed or smth

hexed cargo
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,, x^2+5x+6 = 0

near cargo
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well, i supposed he meant that this should be = 0

pastel sierraBOT
near cargo
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so i just solved it for = 0

near cargo
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(-2)² + 5 • (-2) + 6 = 0
4 - 10 + 6 = 0
0 = 0

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(-3)² + 5 • (-3) + 6 = 0
9 - 15 + 6 = 0
0 = 0

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S = { - 2 ; - 3 }

hexed cargo
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I am thinking whether you can factor

near cargo
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in french we call it the Forme Cannonique

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(litteral translation = canonical form )

hexed cargo
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,calc (-3)^2+5(-3)+6

pastel sierraBOT
#

Result:

0
hexed cargo
#

nice

near cargo
pastel sierraBOT
hexed cargo
#

takes some try and error

hexed cargo
pastel sierraBOT
near cargo
near cargo
near cargo
hexed cargo
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because i saw the roots and knew how to factor

near cargo
hexed cargo
#

maybe i could have done it eventually

near cargo
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sum of 2 positive can't give - 1

hexed cargo
#

oh

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nice

near cargo
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LMAOOO LETS GO, i never manage to say it

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like each time i never analyze the sign of the ellements

pastel sierraBOT
hexed cargo
#

Try that one

near cargo
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i thought it was hard but it is ez gimmie a sec

hexed cargo
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lmao

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you are seeing through my scheme

near cargo
#

yeah i see that sneaky (a - b)²

hexed cargo
#

yea

#

Try that one

pastel sierraBOT
near cargo
hexed cargo
near cargo
hexed cargo
#

What happens if you bring the 6

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to the other side

near cargo
#

becomes negative why ?

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for now i have :

x⁴ + 9 = 6x²
(x²)² - 2 • 3 • x + 3² = 0
(x² - 3)² = 0

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right ?

pastel sierraBOT
hexed cargo
#

thats also not possible

near cargo
hexed cargo
near cargo
#

ohh i 1m talking about the other

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k wait lemme do ghis one

near cargo
hexed cargo
#

ye

near cargo
#

what an idiot

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no wait what

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i'm so coffused

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how can √3 cannot be the anwser

hexed cargo
#

do you want a last one

near cargo
hexed cargo
#

aight

hexed cargo
near cargo
#

but you said it was wrong

hexed cargo
#

no

near cargo
#

hold on. what

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no wait i am right

hexed cargo
#

mb

near cargo
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oh ok

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ok so last one ? (srry to eat your time man)

hexed cargo
near cargo
hexed cargo
pastel sierraBOT
near cargo
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the x³ makes it so hard

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don't tell me

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lmaoo it seem so obvious but i still don't get it

hexed cargo
#

haha

near cargo
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yo wait i think i got smth

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if it works i'm so happy

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ok can i ask you this :

odd × odd = odd right ?

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No nvm it doesn't work ahhhh

hexed cargo
near cargo
#

odd • odd = odd

hexed cargo
#

x³ * x ?

near cargo
#

3 • 3 = 9

hexed cargo
#

no

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x^4

near cargo
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but that's not what i am talking about

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x⁴ can be odd or even depending on x

hexed cargo
#

are you talking about numbers or polynomials

near cargo
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forget bout it i'll try smth else

hexed cargo
#

you are thinking too hard

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what can you say about x^6 and x^3

near cargo
near cargo
hexed cargo
#

wow

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express x^6 in terms of x^3

near cargo
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(x³)²

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Aint no way

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wait

hexed cargo
#

ye

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what did you notice

near cargo
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LMAOO I LITTERALLY THOUGHT ABOUT IT BUT THEN GAVE UP

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wait i just have to write to check if i am right

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ok nvm i am wrong

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the 3 ruins everything

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😮‍💨

hexed cargo
#

no

near cargo
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i'am trying smth else

hexed cargo
near cargo
#

i have this on my paper but what now ?

pastel sierraBOT
near cargo
#

k wait

near cargo
#

where this 6 comes from

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18/3 = 6

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so the 3 shouldn't be here

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no wait what

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bro what is this thing

hexed cargo
#

each term has a factor 3

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15 = 5 * 3

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18 = 6 * 3

near cargo
#

but why

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just to simplify ?

hexed cargo
#

ye

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you can divide by

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3

near cargo
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ok

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then you want me to factorise those two thing by x³ ???

hexed cargo
near cargo
hexed cargo
#

the very thing you suggested in the beginning

hexed cargo
near cargo
#

ohh ok when you set a variable

near cargo
#

srry in frech names are way différent so sometimes i will just not understand

near cargo
#

it is so confusing

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i learned substitution for only that specific case

hexed cargo
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substitution means to replace something

near cargo
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then i dunno what it is, or at least then current equation is so big i can't see it

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ohh wait

hexed cargo
#

y = x+2

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why did you do that

near cargo
#

N = x³
and you get a trinom

hexed cargo
#

same shit

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y = x³

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doesnt matter

near cargo
#

N² - 5N + 6 = 0

hexed cargo
#

then you get a quadratic in disguise

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exactly

near cargo
hexed cargo
#

ye

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same here

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(x³)²

near cargo
#

ok so result is the cube root of -2 and -3

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i noticed the quadric you out here is the same as the last you gave me

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so result are the same but they are under a ^3

hexed cargo
#

now resubstitute

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n = -2 and n = -3

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so what is x?

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given x³ = n

near cargo
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x is the cubic square root of n

hexed cargo
#

yes

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so smart

near cargo
#

....

hexed cargo
#

i mean it

near cargo
#

i litterally said it here

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i mean your right i didn't said cubic, i said cube because kt ks in french

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but i meant cubic root

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ahhh i dunno how english peoples call this

near cargo
#

he smart one here is more you tbh

hexed cargo
#

OH

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my fucking bad

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you are absolutely right

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damn

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i am lost

near cargo
#

bro how was i supposed to find all this sequence by my own

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😭

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but that's cool ! now i know a new patern

hexed cargo
#

i under stand cube root

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i didnt read it

near cargo
#

it is ok then

hexed cargo
#

cube root of -3 and -2 is absolutely right

near cargo
#

it is night

hexed cargo
#

and understandble english

near cargo
#

you're german ?

hexed cargo
#

ye

#

oui

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c'est marrant

near cargo
#

it is night time that's why

hexed cargo
#

probably

near cargo
#

Ah tu parles le français ?

hexed cargo
#

also playing minecraft haha

near cargo
#

ich sprache deutch

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not too good unfortunately 💀

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in france they teach us german very badly

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but the lang is so cool

near cargo
#

bro has good tastes

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btw thx dude learned alot !

hexed cargo
#

did you

near cargo
pastel sierraBOT
near cargo
#

mhhhh

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wait i was thinking about smth for this one

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so i moved thing arround ect rn i am at :
6x - x² = 1

hexed cargo
#

2u-u²=1

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substitution again

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yea

near cargo
#

can i say, since the result is 1, x² has to be equal to 6x - 1

hexed cargo
#

2 not 6

near cargo
#

so i rewrite x² as 6x - 1 directlt ?

near cargo
hexed cargo
#

sqrt(x) = u

hexed cargo
near cargo
#

-2√x = -1-x
4x = (-1-x)²

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then
6x = 1 + x²

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ohhhh right

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nvm i have to fix smth

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yeahhh i forgot the - on the 1

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so ok i meant : 2x - x² = 1

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so can i say x² = 2x - 1

hexed cargo
#

use a different variables

near cargo
#

wait no

hexed cargo
#

like y or u or z

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not x

near cargo
#

i can't since it will cancel out

hexed cargo
#

no

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sqrt(x) = x is odd

near cargo
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srry i wrote i can but i meat i cant

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for some reason i can't write it sometimes

hexed cargo
#

me too

near cargo
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ok so Y = 2x - 1

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no what

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it does nothing

hexed cargo
#

substitute sqrt(x)

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because

near cargo
#

ohh wait no Y = 2√x

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right ?

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since x is squares

pastel sierraBOT
hexed cargo
#

Again a quadratic in disguise

hushed crow
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damn

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this thread is so long

hexed cargo
#

and

#

?

hushed crow
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just syaing

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lolo

near cargo
hexed cargo
#

i am just expanding your horizon

near cargo
#

Wierdest one i saw in my life tbh

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but that's fun

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now i also know i'should develop x² into (√x)² more often

hexed cargo
#

yea but be careful

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x² is defined for all x

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sqrt(x)² now it's only defined for non-negative x

near cargo
near cargo
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now x is defined for all x right ?

hexed cargo
#

yea

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x² makes it possible

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turns negative things positive

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what about

pastel sierraBOT
near cargo
#

yes, but now it will be harder to find substitue i guess

hexed cargo
near cargo
#

no

hexed cargo
hexed cargo
near cargo
#

bro is my dad or sum 💀

hexed cargo
#

not really

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a brother can be also proud

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or a friend

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or a mentor

near cargo
#

indeed

near cargo
#

since we can't include -1 as the original equation has √x

hexed cargo
#

u = -1 is wrong anyway

near cargo
#

which defines x as R+

hexed cargo
#

it's a double solution

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u = 1 is double

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(u-1)² = (u-1)(u-1)

near cargo
#

u = - 1 can't be

hexed cargo
#

yep

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but your thinking is still right i like that

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sometimes a substitution yields more solutions

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but we also have to check if they all are valid

near cargo
hexed cargo
#

that's like forgetting how to eat

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or speak

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dont be

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you are that smart

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have that faith

near cargo
#

Not really, you speak everyday, you eat everyday, so your brain remembers

hexed cargo
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i can tell that you are naturally looking for patterns

near cargo
#

but you dont everyday solve an undercover quadric

hexed cargo
#

you think everyday

near cargo
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one day i will eventually stop doing this specific thing everyday and forget

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you see the basic multiplication table

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the one of 1, 2, 3 ... 10

hexed cargo
near cargo
hexed cargo
#

being good at math makes you a great problem solver generally

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looking for patterns, structures

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logical efficient solutions

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thats applicable to life dude

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and you keep on training that

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you will be greater than already

near cargo
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i love math

hexed cargo
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i was just making a point

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i am not worrying lol

near cargo
hexed cargo
#

a simple example

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what is more efficient

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2 + 2 + 2 + 2 + 2
or
2 * 5

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obviously the 2 * 5

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you get faster to the solution of how it's expressed

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and that kind of thinking

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to choose a more efficient way of doing things

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thats applicable to life

near cargo
#

Wait no you acctually don't, this 2 × 5 is too easy as an example, why ? because as kids, we all learn multiplication tables form one to ten so we can solve any multiplication

hexed cargo
#

yea

near cargo
#

if we were freshly introduced to multiplication with no table, we would struggle as much if we do 5 * 2 or 2+2+2+2+2

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but yeah it is always great

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How old are you, if i can ask ofc (at least like what grade)

pastel sierraBOT
near cargo
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can't figure out how tf you do an infinite sum,with a single expressions

hexed cargo
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yea sums are generally speaking not simple

near cargo
hexed cargo
#

yea

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and pi^2 - the sume is 0

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They are equivalent

near cargo
#

ohh ok

hexed cargo
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I was just pointing out that we all can do things in some way

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but naturally we all want the fastest and most efficient way

near cargo
#

so exp 0 = x⁵ ?

hexed cargo
#

ye

near cargo
#

exactly like an ai

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so conclusion : we are robots

hexed cargo
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we made the ai after all

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not really

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it's natural to do things in the best way

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not waste time

near cargo
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but since i, myself, am a human, i limit my self instinctively

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Anyway, thank for helping me man ! if that doesn't bother you. would you mind me sometimes asking you for help to understand stuff ?

hexed cargo
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believe or not

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there are far far far greater minds

near cargo
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dw i saw many 💀

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like i hope i will have that level one day

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but i meant help because i like the way you explain that's all tbh

hexed cargo
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you will have

near cargo
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not help it self

hexed cargo
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yea guess explaining is an art in itself

near cargo
hexed cargo
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lol

near cargo
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Or should i say Bach kekw

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Anyway, good night, i hope you have a wonderful tomorow, thx for helping me i'll go solve that first equation k didn't managed to solve

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i am not dumb, i am just blind

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my first attemp had the correct way of solving it, but what i wrote was :

(27/4)/3 = (27 × 3 / 4)

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😮‍💨

hexed cargo
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perfecting the square is cool

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nice that you know how to do this

spice pier
#

@near cargo @hexed cargo That was the worst test i had in my whole life

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i shitted myself so hardly ngl

hexed cargo
#

You had a test?

spice pier
#

My brain just turned off

hexed cargo
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damn

spice pier
hexed cargo
#

idk

spice pier
# hexed cargo idk

bro i am not the best english speaker but i defenetly need ur help with this math thing. can we go in voice

hexed cargo
#

I am the worst english speaker

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Just open a help channel

spice pier
hexed cargo
#

if you want a tutor, i am not your guy

spice pier
#

Free tutor 🤑 🤑 🤑 🤑 🤑

near cargo
#

test = fail

test - stress = training = success

near cargo
#

peoples who do not stress are the very good at math peoples, and the very bad at math peoples

hexed cargo
#

much stress can also come from overthinking

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which imo can also come from being intelligent

near cargo
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for example, i don't stress for phyisics exam cuz i do it easially, but not for math

hexed cargo
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ah i see

near cargo
#

for math i stress alot and therefore, i fail

tepid quest
#

a)(x+2) to the power of 2 = 7 to the power of 2 (7 to the power of 2 is 49 )
We have x+2=7 ( we have 2 at the power so we assume x) x=7-2
X=5