hi can someone help me study for my math exam (its in a week)

[uneven vale]

someone help pls

[uneven vale]

i have 2 exams algebra and geometry

[dry locust]

revise in class material

if you have a textbook use it

[uneven vale]

i have a worksheet can someone explain to me how to solve some of the questions

[pine ridge]

you dont have to ask "can someone do..."

just post your question and people will help

[molten whale]

hello can please someone help me with my https://discord.com/channels/268882317391429632/1240752114678894632 , just give me directions

[wanton oar]

you still have time its a week !!!

[uneven vale]

ah alr thanks

[uneven vale]

hopefully 💀

ok im kinda bad with inequalities

one of my questions is 4(x+1) - 5x <= 3

so firstly i removed the brackets

4x + 4 - 5x <= 3

and i combined like terms

-x + 4 <= 3

[pine ridge]

and next?

[uneven vale]

but im not sure if i can just say that -x <= -1

[pine ridge]

as you know you cant

how would you solve this equation

-x = -4

[uneven vale]

isnt it already solved

[pine ridge]

well i want you to tell me the value of x

there is -x not x itself

can you guess the value of x from the equation?

[uneven vale]

4

[pine ridge]

yes!

and what if i tell

you

that its easy as that

just multiply both sides by "-"

by negative

what is negative times negative?

[uneven vale]

oh

wait

so

-x + 4 <= 3

x - 4 <= -3

right?

[pine ridge]

first isolate x

i mean

"-x"

[uneven vale]

wait

can we like do that with inequalities

[pine ridge]

the thing you did was right btw

but there is only one thing to remember

when it comes to inequality

[uneven vale]

the sign switches?

[pine ridge]

yes!

exactly

[uneven vale]

i forgot when it switches 💀

[pine ridge]

the sign just turns from < to >

or the oppostie

[uneven vale]

when u multiple by negatives yes or n

[pine ridge]

when you multiply by negative, the sign switches

i bolded it so if you wanna check you can see it easily

[uneven vale]

okok

[pine ridge]

ok so waht would be your final answer

[uneven vale]

so we multiplied by a negative

and it became

x - 4 >= 3

right

[pine ridge]

no it became x-4 >= -3

[uneven vale]

oh right since 3 was positive

[pine ridge]

yez

[uneven vale]

alr thanks

one sec

[pine ridge]

ok so try to solve this one 6 - x >= 8

[uneven vale]

ok

so firstly

i would minus 6 from both sides

-x >= 2

and then

multiply both by -1

x <= -2

[pine ridge]

yep!

now try to solve this one

4(1-x) + x > -2

[uneven vale]

4 - 4x + x > -2

4 - 3x > -2

-3x > -6

-x > -2

x < 2

[pine ridge]

YEP!!

that is completely correct!

now lets say you somehow forgot if you are doing the right thing

and you wanna check if your answer is correct

choose a number from the interval you got

for example here you got x<2

[uneven vale]

what an interval 💀

[pine ridge]

i mean the numbers

here you got x < 2

[uneven vale]

ah ok

[pine ridge]

it means that x should be less than 2

so pick a number for x from x < 2 and tell me if the x you picked satisfies the very first version of the inequality

[uneven vale]

oh u mean

wait what

[pine ridge]

you can pick any number less than 2

for x

[uneven vale]

Ohh ok

1.5

actually

1

for simplicity

[pine ridge]

ok great

[pine ridge]

now put it here and tell me if the inequality works

[uneven vale]

ok

4(1-1) + 1 > -2

4(0) + 1 > -2

1 > -2

okok thats correct

i get it now

but can u help me

with square roots

i hate those

[pine ridge]

can you give me an example to know what type of question you are dealing with?

[uneven vale]

yea sure

wait

[pine ridge]

also its kinda rude that im helping you rn cuz two other people messaged this help forum

[uneven vale]

what symbol do i use for square roots

one sec let me find it on google

[uneven vale]

?

[pine ridge]

i mean @wanton oar and the other person that i cant ping

can you help him with the square root justnoor?

[pine ridge]

send your problem

[balmy timber]

zrui7 ?

[pine ridge]

oh the legendary person is here!!

[uneven vale]

alr

[pine ridge]

how is it going mate

[balmy timber]

No, I’m bad. Wrong person XD

[uneven vale]

so

for example

[balmy timber]

Alr, let’s focus on his question

[uneven vale]

(4√6 - √54 + √24) * √6

thats one of the questions

[pine ridge]

bruh your limit problems are longer than my name

anyways

[pine ridge]

do you have any idea on how they work?

[uneven vale]

yea

[pine ridge]

ok great can you tell me what you think about it?

[uneven vale]

well

im unsure kinda

[pine ridge]

tell me everything you know

[uneven vale]

like im not suppsoed to work with the product of the square root right

[pine ridge]

well first you gotta do some stuff inside of the square roots

[uneven vale]

square root of a number is that product of the square root squared

[pine ridge]

and then multiply sqrt(6) to it

[pine ridge]

oh yeah thats the explaination of that

for example waht is the answer for sqrt(9)

[uneven vale]

3

[pine ridge]

yes!

now what about sqrt(16)

[uneven vale]

4

[pine ridge]

what about sqrt(25)

[uneven vale]

5

i know this basic stuff

[pine ridge]

exactly!

[uneven vale]

but im kinda bad in like other stuff

[pine ridge]

ok now lets use these stuff

the very first thing you gotta know is that sqrt(ab) = sqrt(a) * sqrt(b)

[uneven vale]

like

√45 = √4 * √5

?

oh wait

u mean

√20 = √4 * √5

?

[pine ridge]

no ab means a times b

ah yes

sqrt(20)

that’s exactly what we are gonna do

So remember this and let me give you some examples

[uneven vale]

yo sorry give me 10 mins

i gtg eat

sorry

[pine ridge]

No problem take your time

When you wanna simplify a square root, you usually try to find a multiplication that is square number, so when it comes out like sqrt(4) it will turn into 2

Whenever you are here, try to simplify this

[uneven vale]

hi @pine ridge

[uneven vale]

2√14

[pine ridge]

hello

[pine ridge]

this is wrong

think once more

[pine ridge]

Look what we did here and do the same thing

[uneven vale]

ohh right

oops

so

√28 = √2 * √14

mb

or

[pine ridge]

yes but that’s not simplified!

[uneven vale]

√4 * √7

2√7

[pine ridge]

Exactlyyy!!

now another one

sqrt(48)

[uneven vale]

√48 = √4 * √12

2√12

[pine ridge]

🔥

can you simplify it even more?

[uneven vale]

yea

√12 = √4 * √3

or 2√3

[pine ridge]

Sooo, what would be your final answer?

[uneven vale]

so √12 = 4√3

i think'

[pine ridge]

you probably mean sqrt(48) = 4sqrt(3) which is correct!

You have written sqrt(12)

which as you said is 2sqrt(3)

but combining it back with 2

[uneven vale]

oh right sorry

[pine ridge]

gives us 4sqrt(3)

Another one

sqrt(75)

[uneven vale]

btw is it correct to write sqrt()

or √

[pine ridge]

both of them are correct, because idk how to put that sign here I write sqrt

[pine ridge]

basically you should write this

in math we don’t use sqrt on paper

[uneven vale]

i js copy pasted it from google

[pine ridge]

Ok nice

[uneven vale]

nono i mean digitally do u use sqrt or √

[pine ridge]

Oh for coding?

Here both of them are correct

but using sqrt here is correct

[uneven vale]

ok anyways so √75

equals to √5 * √15

nonon

actually

5√3

[pine ridge]

yes!!

you were also doing the correct thing at first

sqrt(5) * sqrt(15)

sqrt(5). Sqrt(5) . Sqrt(3)

5sqrt(3)

[uneven vale]

yea but it was more complex

[pine ridge]

Now let’s actually use these stuff

Try to simplify the stuff first and then multiply sqrt(2) inside

[uneven vale]

alr

√50 = 5√2

√72 = 2√18

uhm\

[pine ridge]

now try to simplify square root of 18

[uneven vale]

√18 = 3√2

[pine ridge]

So now replace the stuff and tell me the answer!

[uneven vale]

ok

√2(5√2 * 2 * 3 √2)

√2(30√2√2)

[pine ridge]

no no

there is plus sign

you can’t multiply 5sqrt(2) to 2*3sqrt(2)

[uneven vale]

oh

oops

√2(5√2 + 2 * 3 √2)

so this is what we have rn?

[pine ridge]

Yep

[uneven vale]

ok

√2(5√2 + 6√2)

idk

maybe

[pine ridge]

so you multiply sqrt(2) to the inside

you get 5sqrt(2) times sqrt(2)

6sqrt(2) times sqrt(2)

[uneven vale]

yeah

im unsure

[pine ridge]

Always remember if you multiply two equal numbers in square root, the square root will be removed

5sqrt(2) times sqrt(2) will become 5*2

[uneven vale]

ooh

i forgot abt that 😅

ok

so

10 + 12

22

[pine ridge]

yes!

I gotta go right now

I’m sending several examples for the thing we just studied right now

try to solve them till I’m back!

maybe after 30-45mins I will be back

[uneven vale]

ok thank you for helping me

bye!

[pine ridge]

No problem!

definitely solve them and tell me the answers

[uneven vale]

ok

√7(2√28 - √175)

√7(4√7 - 5√7)

4 * 7 - 5 * 7

28 - 35

-7

then

√3(√27 + √12)

√3(3√3 + 2√3)

9 + 6

15

C)

√5(√125 - √20)

√5(5√5 - √20)

√5(5√5 - 2√5)

25 - 10

15

D)

√13(4√52 + √117)

√13(8√13 + 3√13)

104 + 39

143

[pine ridge]

EXCELLENT JOB!! ✅✅

All of them are completely correct!!

[uneven vale]

🥳

btw

i was a bit unsure if i had to multiply both of the multiples by the number outside the brackets

[pine ridge]

Well

the thing you did was correct

for example when you have 2x3x5 you don’t multiply 2 to each 3 and 5

you just do 2x3x5=6x5=30

[uneven vale]

alr alr

sorry i was away

can u help me with a bit more complex problem ?

[pine ridge]

you mean harder with square roots?

Gimme a hard question from your book so I can get what type of question I should give you

[uneven vale]

no no smt like

(4x - 3 / x + 1) - (6x - 5 / 2x + 1) = 1

i put fractions in brackets

[pine ridge]

Oh sure

[uneven vale]

wait no

it was a bit different

[pine ridge]

hmm

the thing you sent is almost the same as I have given here

isn’t it?

[pine ridge]

This

[uneven vale]

well yea

[pine ridge]

Gimme more examples to understand what I should give you

[uneven vale]

i need to do discriminants

[pine ridge]

Find the answers of this equation

[uneven vale]

ok so

a = 1

b = -3

c = 2

D = b^2 - 4ac

-3^2 - 4(1)(2)

9 - 8

1

x1 = (-b + sqrt(D)) / 2ac

x1 = (3 + 1) / 4

x1 = 1

x2 = (-b - sqrt(D)) / 2ac

x2 = 0.5

idk if this is correct

[pine ridge]

this is completely correct!!

what about this one 🤔

[uneven vale]

oh thats nice at least i didnt forget everything from the time i learnt abt discriminants 😅

[uneven vale]

a = 1
b = 1
c = -6

D = 1 - 4(-6)

D = 1 + 24

D = 25

x1 = -1 + 5 / -12

x1 = 4 / -12

wait what

i dont think i did this right

i got -0.33333 repeating

[pine ridge]

yes

The denominator is 2a

[pine ridge]

there is no problem with finding such a root, but here the root is not 1/3

The denominator is 2a and a=1 so the denominator is 2, not 12!!

[uneven vale]

wait how

isnt it 2ac

OHH

WAIT

nvm i mixed it up 💀

ok

so then yeah its 2 ig

x1 = 2

[pine ridge]

Yes and the other one?

[uneven vale]

x2 = (-1 - 5) / 2

[uneven vale]

-3

[pine ridge]

yep!

ok now let’s do this one

[uneven vale]

a = 1
b = -2
c = 1

D = b^2 - 4ac

i keep forgetting that the b is positive

anyways

-2^2 - 4

-8

then

[pine ridge]

No

[uneven vale]

?

[pine ridge]

(-2)^2 = 4

not -4

b^2 = 4

[uneven vale]

oh right i forgot that sorry 😭

wait so D = 0

hows that possible

never seen that before

wait whats the square root of 0

[pine ridge]

ok look

if the delta is positive

there are two roots

if delta is 0, there is only one root

[uneven vale]

wait the D is called a delta?

[uneven vale]

oooh right i remember this i kinda forgot that

[pine ridge]

if delta is less than 0, there is no root

[pine ridge]

I think so?

[uneven vale]

i thought it was just called a discriminant

[pine ridge]

then I’m wrong

that’s probably what it is called

I’m not native speaker so don’t take my words seriously 💀

[uneven vale]

wait one sec let me check

[pine ridge]

yes you are right that is called discriminant

[uneven vale]

i heard other people call it delta

[uneven vale]

wait what

[pine ridge]

I think both are correct

[uneven vale]

oh

well i heard one of my teachers say delta

[pine ridge]

anyways solve the question!

[uneven vale]

once

[uneven vale]

alr

oh right so D = 0

x = (-b + sqrt(D)) / 2a

[uneven vale]

is this correct?

[pine ridge]

Yes!

what if I tell you

+0 = -0 = 0

that’s why there is only one root!!

[uneven vale]

oh waiiitttt

waittt thats so cool

😭

so i can write

[pine ridge]

Ikr

[uneven vale]

x = (-b + sqrt(D)) / 2a

or

x = (-b - sqrt(D)) / 2a

thats cool

anyways

the answer is

x = 1

[pine ridge]

Yep!!

now let’s solve harder questions!!

[uneven vale]

alr

[pine ridge]

Find the roots of the following equation

[uneven vale]

ok

so firstly

i would do

x^2 - 4x + 3

like this

so it equals to 0

[pine ridge]

YES!

[uneven vale]

also btw discriminants only work when theres a zero right?

[pine ridge]

Yep

[uneven vale]

ahh ok

also

btw

when i subtract 4x from both sides

where do i place the negative 4x on the other part of the equation

like this

-4x + x^2 + 3

or like this

x^2 - 4x + 3

or this

x^2 + 3 - 4x

[pine ridge]

what if I tell you, all of them are correct?!1!

[uneven vale]

sorry im kinda stupid 💀

[pine ridge]

1 + 2 + 3 = 6

2 + 1 + 3 = 6

3 + 2 + 1 = 6

see?

there is no difference

[uneven vale]

oohh okay thats good because i mightve been doing stuff for a while now wrong if it was incorrect 💀

[uneven vale]

i thought theres a difference in subraction or smt 😭

[pine ridge]

but writing it -4x + x^2 + 3 might make you to make mistakes

[pine ridge]

I used to think that way as well no worries xD

[uneven vale]

why

isnt it the same

[pine ridge]

that is the same

but like you might place -4 as “a”

but in fact a is the coefficient of x^2

not anything in the equation

ax^2 + bx + c = 0

is the general form

but you can write it bx + ax^2 + c = 0 as well

but the formula would stay the same!

[uneven vale]

ohh nonono i place the "a" as the number raised to the highest power

also

btw

[pine ridge]

Great!!

[uneven vale]

how do i use

like 4 numbers

if that makes sense

[pine ridge]

I didn’t get sorry

give an example

[uneven vale]

why was my message deleted

weird

[pine ridge]

maybe I will get it

[uneven vale]

I mean like numbers with powers higher than 2

for example

x^3 - 3 = 0

[pine ridge]

there is no formula!

You solve these types of questions with algebra

in fact, quadratic equations are solved with algebra as well

[uneven vale]

wdym

[pine ridge]

For example take a look this example that you solved not long ago

this expression on the left

Will turn into (x-2)(x+3)

then we know that if one of them is 0, then everything would become zero! (Why?)

x-2 = 0. x=2

x+3=0. X=-3

[uneven vale]

i dont get this

[pine ridge]

the same roots you found earlier

[pine ridge]

Lemme show you the process

[uneven vale]

alr

[pine ridge]

You firstly write x as -2x + 3x

[uneven vale]

oh

nvm

i get what u mean now

[pine ridge]

Then you factor out x and 3 as shown below

[uneven vale]

why would u do that tho 💀

[pine ridge]

Oh nice

[pine ridge]

you might see why we do that in future 💀

I mean

for expressions like x^3 -2x^2 +5x -4 = 0

you have to factor out

there is no formula (there are some methods like finding one root and dividing by x-root but you don’t have to know that now!)

ok you were solving this problem

[uneven vale]

ok i will take that into account

[pine ridge]

what are the roots

[uneven vale]

i dont remember 💀

one sec

let me do it again

[pine ridge]

oh did you find the roots?

no you didn’t

[uneven vale]

oh right i kinda didnt finish it

[pine ridge]

find the roots and we will solve even harder problems after this one!!

[uneven vale]

x^2 - 4x + 3 = 0

a = 1

b = -4

c = 3

D = 16 - 12

D = 4

x1 = (-b + sqrt(D)) / 2a

x1 = 3

x2 = (-b - sqrt(D)) /2a

4 - 2 / 2

x2 = 1

also

btw

[pine ridge]

Yep!!

[uneven vale]

can i use ur pictures

[pine ridge]

yes ofc

[uneven vale]

this one i mean

[pine ridge]

feel free to use them

[uneven vale]

so i can like send it to my teacher in case he asks what im studying rn

[uneven vale]

tysm!!

[pine ridge]

Ofc!

[uneven vale]

btw @pine ridge can we solve smt else

other than the discriminants

right now

because

my exam is on saturday

and i havent really studied the other topics

[pine ridge]

Ok sure, let’s solve this last one and we are done

[uneven vale]

i think theres even a bit of geometry in it

[pine ridge]

this last one is an amazing problem

[uneven vale]

yeah sure

[pine ridge]

I want you to take a deep breath and think about this problem

[uneven vale]

i feel like albert einstein

[pine ridge]

find the value of m, such that the equation below only has one root!

[uneven vale]

bro 😭

what the flip

[pine ridge]

you know what’s funny about this problem

[uneven vale]

⁉️

[pine ridge]

you gotta use the quadratic formula twice lol

anyways

[uneven vale]

wait rlly? 😭

[pine ridge]

what is the rule of having only 1 root?

[uneven vale]

i was thinking its that or u just ignore m completely

[uneven vale]

if the D = 0

[pine ridge]

ok now write D based on m

[uneven vale]

uhm

but wait

there's no exponents

how can u do

the quadratic discriminant formula

[pine ridge]

There is x^2

[uneven vale]

but its not m tho

[pine ridge]

And also there is x with coefficient-2m

[uneven vale]

ok let me think ig

[pine ridge]

just write the D and you will see!

[uneven vale]

ok

wait no

fistly

u assign the a b c

no?

[pine ridge]

what is a here?

[uneven vale]

a = 1

b = -2

[pine ridge]

Ok what about b

[uneven vale]

c = 2

[pine ridge]

No

what is multiplied to x

[uneven vale]

-2m

waitttt

[pine ridge]

Now what is c?

[uneven vale]

we are gonna have variables in the formula itself? 😭

[pine ridge]

Yeah lol

[uneven vale]

2m

[pine ridge]

Now based on the thing you said, write D

[uneven vale]

yeah i was just writing it lol

D = (-2m)^2 - 4(1)(2m)

D = 4m - 8m

i think

[pine ridge]

4m^2

but yeah that’s correct

[uneven vale]

wdym

[pine ridge]

(-2m)^2 = 4m^2

-2m * -2m = 4m^2

[uneven vale]

ohhh

wait nvm

💀

im dumb

bro

for some reason

[pine ridge]

Nah it’s just a mistake

[uneven vale]

i thought the 4 was also to the power of 2

i hate using the ^ sign

[pine ridge]

lol

[uneven vale]

so i got confused

[pine ridge]

got it

[uneven vale]

ok so 4m^2 - 8m

[pine ridge]

and what does that equal to?

[uneven vale]

you cant rlly simplify that tho can u?

[pine ridge]

This

[pine ridge]

You can

well

not simplifying

but factoring

[uneven vale]

wait this equation has 1 root only?

[pine ridge]

Yes

[uneven vale]

oohh

[pine ridge]

so D should equal 0

[uneven vale]

wait do u mean 4m^2 - 8m = 0 by that or what

[pine ridge]

Yes!

so what is the value of m according to 4m^2 - 8m = 0

[uneven vale]

well

[pine ridge]

You can use quadratic formula or you can factor out

[uneven vale]

omg

i just realizxed

[uneven vale]

oh yeah this u alr said it

(btw what does factor out mean)

[pine ridge]

Factoring is like this:

2x + 4 you factor out 2 so you get 2(x+2)

[uneven vale]

oh

4m^2 - 8m = 0

a = 4

b = -8

c = 0

D = b^2 - 4ac

D = (-8)^2 - 4(4)(0)

D = 64 - 0

i think

oh ok thats nice that i didnt forget the zero

anyways

D = 64

so sqrt(D) = 8

since D > 0

there are 2 roots

x1 = (-b + 8) / 2a

x1 = (16) / 8

x1 = 2

[pine ridge]

Not x ofc, we are finding “m”

we are using formula on “m”

[uneven vale]

OOHHH RIGHT AHAHHAHA 😭

i forgot 😭

[pine ridge]

No worries

[uneven vale]

ok well m1 = 2 i guess

m2 = (-b - 8) / 2a

m2 = 0

[pine ridge]

Exactly!!

[uneven vale]

because 0 divided by anything is zero

[pine ridge]

this is the hardest question you can face in the stuff related to quadratic formula

[pine ridge]

Yes! (except 0/0)

[uneven vale]

yeah but tbh it will probably be way easier

[pine ridge]

yes!

it’s good to know hard problems

I’m sure you agree with!

ok now what’s the next topic we gonna be practicing

[uneven vale]

let me get my sheets out

[uneven vale]

tbh 0 divided by 0 is 1 because anything divided by itself is 1 😎

[pine ridge]

it’s still not 1!

xD

not defined

[uneven vale]

zero is such a weird number

anyways

i got my sheets

[pine ridge]

Yeah

[pine ridge]

Alright nice

[uneven vale]

so question #1 on my worksheet is pretty loong

let me actually draw it

[pine ridge]

ah man I hate long questions 💀

[uneven vale]

what app do u use for this btw

[pine ridge]

ok before you do it

[pine ridge]

“Procreate”

https://cdn.discordapp.com/attachments/1233981747029348352/1242355061418365029/kxhxzuEi4t7Ho2_L_2.mp4?ex=664d88d0&is=664c3750&hm=f966a7ce820b023c589443f303862f889960fbdf8642af397dd3b2833e556eff&

[uneven vale]

bro same no one likes them 😭

[pine ridge]

watch this video to get refreshed

[uneven vale]

😂

bro math people are goofy 😭

[pine ridge]

lol

[uneven vale]

im too broke for that my mom uses it tho

[pine ridge]

Oh wow, for drawing?

[uneven vale]

yeah shes actually an artist

[pine ridge]

that’s so nice

alright anyways what’s the problem you wanted to send?

I suggest “ibis paint” if you wanna draw this kinda stuff

it’s free

[uneven vale]

yeah here it is i was drawing it out in my microsoft paint 😎

[uneven vale]

oh yeah i know it but i dont really draw

[pine ridge]

: means division right?

[uneven vale]

also nowadays u can get paid apps for free

[uneven vale]

yeah im pretty sure

[pine ridge]

It’s not a good thing to do but yes you can

[pine ridge]

Ok great, first of all, tell me what you think about this problem?

[uneven vale]

yeah ik just sayin

[uneven vale]

its long

💀

[pine ridge]

great 💀

ok the first thing is to know how simplifying works

before solving that problem

solve this one:

[uneven vale]

bro is cookin in procreate 🔥

[pine ridge]

How would you simplify this fraction

[uneven vale]

bro i hate this so much

well

i guess we can remove x + 3

[pine ridge]

Correct!

[uneven vale]

lets gooo 🗣️🔥

btw

@pine ridge

[pine ridge]

And then what other stuff you can simplify?

[uneven vale]

do u code

[pine ridge]

Nah 💀

don’t mind that “game dev” thing in my bio

[uneven vale]

im not sure if we can remove the x -2 because its multiplied by 2 in the numerator

[pine ridge]

I just installing “unreal engine” and then did nothing xD

[pine ridge]

you can!

[uneven vale]

😭

[pine ridge]

I’m gonna learn it after school ends

[uneven vale]

ok one sec let me just show u smt cool

[uneven vale]

what grade are u

or college idk

[pine ridge]

11th what about you?

[uneven vale]

im grade 8

🤓

[pine ridge]

Nice!!

alright man

I’m sorry I gotta go

my battery is low

[uneven vale]

oh

alr

will u come back?

[pine ridge]

search “simplifying fractions” on the internet and watch some videos

[uneven vale]

check this out i made a snake game with accelaration and other cool stuff

[pine ridge]

No I’m leaving this world forever 😞

WOW

[uneven vale]

alr sure !

[pine ridge]

THATS AWESOME

[uneven vale]

😂

[pine ridge]

XD

Probably we will study tomorrow

[uneven vale]

i cant tell if ur ironic or genuinely surprised 💀

[uneven vale]

alr alr

[pine ridge]

That’s actually very nice to see you have made that thing

I always wanted to learn coding

[uneven vale]

yeah but actually i got a python tutor recently he helped me

[pine ridge]

ok I gotta go

last question

[uneven vale]

bye !

[pine ridge]

Do u know coding?

[uneven vale]

well saying that i can code is an overestimate 💀

[pine ridge]

And what language (I mean c++ or c# etc)

Oh ok!

[uneven vale]

i use javascript for websites and mainly python

i tried C++ before

[pine ridge]

c++

[uneven vale]

i like it but im more focuesed on python rn

[pine ridge]

💀

c++ is very hard compared to other ones

[uneven vale]

bro its fast kinda 😭

[pine ridge]

anyways cya later mate!

[uneven vale]

alr bye go charge up or smt

bro what are these emojis 💀

[pine ridge]

Yeah

[uneven vale]

yo wsp

[pine ridge]

Helloo

How is it going

[uneven vale]

pretty good

i finished some of my subjects

[pine ridge]

Great to hear!

[pine ridge]

Wow nice, like what subjects?

[uneven vale]

but i didnt watch any math vids today

[pine ridge]

Oh

[uneven vale]

history and like social studies

[pine ridge]

Oh nice

[uneven vale]

i was busy(

anyways

remember how we did discriminants yesterday?

[pine ridge]

Yes

?

[uneven vale]

can we solve some examples

on my worksheet

with discriminants

[pine ridge]

Ofc!

Send those bad boys

[uneven vale]

alr

question 2

7 - 1/2x^2 = 0

[pine ridge]

Alright

[uneven vale]

a = 1/2

b = 0

[pine ridge]

Yes!

[uneven vale]

c = 7

[uneven vale]

oh wait

-1/2

i used to make mistakes with forgetting negatives before a lot 😂

[pine ridge]

Lol

[uneven vale]

alr so D = b^2 - 4ac

D = 0^2 - 4(1/2)(7)

D = -2(7)

D = -14

wait what

[pine ridge]

No

[uneven vale]

no roots?

[pine ridge]

You said a=-1/2

So -4ac

[uneven vale]

oh right

i forgot that one more negative

💀

-4(-1/2)(7)

2(7)

so 14

[pine ridge]

These negatives be ruining every thing 💀

[uneven vale]

fr 💀

x1 = -b + sqrt(D)

x1 = sqrt(D)

is that even a thing

square root of 14

[pine ridge]

Yes!

Just write sqrt(14)

[uneven vale]

yea but its probably irrational or smt

[pine ridge]

It's a number close to 4

[uneven vale]

oh ok

x1 = sqrt(14)

x2 = -b - sqrt(D)

so basically the same thing but negative

one sec

[pine ridge]

Bro's one second is way longer than our one second 💀

[uneven vale]

😭

sorry i had to go eat

[pine ridge]

Nah just kidding take ur time

https://cdn.discordapp.com/attachments/1233981747029348352/1242872630705393755/LxZMgGT.mp4?ex=664f6ad6&is=664e1956&hm=ca27c32e8f5ea87039aa4b335e4491a091ec10290cdcce31e07261e5ad9909a8&

[uneven vale]

i finished eating

i might go again now tho

[pine ridge]

no problem

[uneven vale]

i got school tmmrw

also idk where u live but for me its like the evening time but i like to sleep early if i can

anyways so my math exam is in 3 days i think

[pine ridge]

Kk

[uneven vale]

💀

bro uses random file names

vencord user

[pine ridge]

you don’t have to solve every quadratic equation with the discriminant formula, for some equations there are easier ways

[uneven vale]

yea but i will probably still use the discriminant formula just in case

like i might forget that its positive and negative at the end

[pine ridge]

yes, but generally try to solve it manually when the equation is simple

For example, take a look at this

[uneven vale]

alr alr but can we solve an easy question rn

it looks really easy

[pine ridge]

Which one?

[uneven vale]

but idk what it even wants me to do

[uneven vale]

it says

[pine ridge]

the one you were solving?

[uneven vale]

y = 15/x

[pine ridge]

Ok and then?

[uneven vale]

so the two roots are 0 and 2 right?

thats kinda clever

[uneven vale]

im not sure let me translate it

its not in english

(i dont understand it myself 💀)

[pine ridge]

does I say intersect or something like that?

yeah translate it

[uneven vale]

it says "inverse proportionality is given by the formula"

wtf does that mean

[pine ridge]

what the heck is that 💀

[uneven vale]

idk im assuming it wants x as the subject

so like

x equals to y something

[pine ridge]

I think it wants you to write y based on x right?

that’s what generally inverse stuff mean

I gotta go sorry

I will be back in like 30-45 mins

[uneven vale]

wait no like x based on y i think

[uneven vale]

oh

alr see u tmmrw ig

[pine ridge]

Yes!

try to isolate x

[uneven vale]

i will probably be sleeping by then 💀

[pine ridge]

if you wanna watch some videos on that

search “finding the inverse function”

[uneven vale]

alr i will try solving it

[pine ridge]

you might see some stuff like f(x) but don’t care about them

[uneven vale]

i actually had to learn functions before

last year

in grade 7

(i didnt understand anything)

but i later understood it from python

im a pro coder opji3rngjhetjhsetj😎

[pine ridge]

oh wow very nice!

what did you find for the inverse thing

[uneven vale]

the last one scares me

[pine ridge]

ahh

its in fact very simple

[uneven vale]

functions in math are weird

[pine ridge]

they are the most useful thing!!

[uneven vale]

f(x) = 5

find the f or x idk how it works

well

[pine ridge]

you cant believe how useful they are until you use them

[uneven vale]

i mean i do

but only in programming

[uneven vale]

never used them

alright

i have one problem

[pine ridge]

yes

[uneven vale]

with functions

[pine ridge]

yes?

[uneven vale]

look at this

[pine ridge]

uhm

[uneven vale]

i dont get it

[pine ridge]

ok

f as you probably have guessed

means function

[uneven vale]

i used to understand functions kinda in math when i actually had to do it a bit bc i had to study it after my exams last year

but i forgot

💀

[pine ridge]

lol no worries

[uneven vale]

this is kinda not true

like i mean in math

[uneven vale]

i watched the second vid btw

[pine ridge]

f(x)=3x-4 means that you give a value for x as an input and function makes some changes to it (which here it is 3x-4) and then the function gives you the output or f(x), for example when you put x as 2, the function would say:

ok!

take 2 and multiply it by 3 and then subtract it by 4

you got 2!, thats the output so show:

f(2) = 2

you gave 2 to the function "f" and you got f(2) as your answer(which is 2)

[uneven vale]

yes bro thats exactly how i understand functions in math "they are some things that change the argument in it or smt"

[pine ridge]

exactly!

[uneven vale]

huh

[pine ridge]

for example look at this

f(x) = 2x + 1

what is the value of f(3)?

[uneven vale]

ohh

nvm

i get it

[pine ridge]

thats the process

[uneven vale]

7

[pine ridge]

exactly!

[uneven vale]

i get it now

[pine ridge]

ok good

[pine ridge]

what if i tell you, if f(a) = 3, then what is the value of a?

[uneven vale]

3

i think

[pine ridge]

ok so if a=3, then f(3) = 3 right?

[uneven vale]

yeah

i guess the function is 3 * 1

[pine ridge]

f(x) = 2x+1
f(3) = 2*3 + 1 = 7

f(3) = 7

which proves that a=3 is not the answer!

try once more

[uneven vale]

wait no

where did u get the 2x + 1 from

i thought we tsrated new

[pine ridge]

this is what im talking about

[uneven vale]

ok nvm then sorry

[uneven vale]

why a we had x

im so confused

[pine ridge]

is it your lesson for this year

do you have to lean it?

[uneven vale]

fuctions?

yes i guess

never really did them before

ok

lets start fresh

[pine ridge]

we gotta learn them tomorrow

right now we dont have that much time to study it

or do we?