algebra ( i suck )

[ember bobcat]

i cant solve none bro 😭

[peak pelican]

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[ember bobcat]

e

how do I do no.7

[jolly furnace]

have you tried factoring it?

[ember bobcat]

idk howw

@jolly furnace

Also i have to find the discriminant

not just factorize

[jolly furnace]

then find the discriminant

factoring is easier but since these questions look designed to test the quadratic formula, it’s fine to use that instead

[ember bobcat]

@jolly furnace

i got the answer to be A

is it correct

Also ping me next time

cuz i dont camp in the chat

[jolly furnace]

how

[ember bobcat]

look

[ember bobcat]

b^2-4ac is the method to get the discriminant

[jolly furnace]

firstly, you squared (2ab)^2 wrongly

secondly, why did you set 2a^2 equal to 0?

[ember bobcat]

cuz

idk

xd

[ember bobcat]

how do i do it

[jolly furnace]

by squaring it, but correctly?

you just forgot to square the 2

[ember bobcat]

o

[jolly furnace]

also may i request that you don’t ping me every second message

[ember bobcat]

why

[jolly furnace]

if i’m online i am camping the chat

[ember bobcat]

😭

ok

[jolly furnace]

if i’m offline i’m not responding to pings either way

[ember bobcat]

ok

[jolly furnace]

(alternatively, if i’m online and don’t want to talk to you, a ping probably won’t help)

[ember bobcat]

i squared it correctly

im left with b^2-b^2

[jolly furnace]

good job

[jolly furnace]

where’s the 4a^2?

[ember bobcat]

the equation if i squared that correctly goes by

4a^2b^2-4a^2b^2

[jolly furnace]

looks about right

[ember bobcat]

so 4a^2-4a^2 = 0

so i canceled them

I'm now left with b^2-b^2

[jolly furnace]

you are generally not allowed to do that when you’re multiplying numbers

[ember bobcat]

what do i do bro

Am i left with

ab^2-ab^2?

[jolly furnace]

note that these are equal to each other, so subtracting them gives 0?

[ember bobcat]

ye

[jolly furnace]

as in, $4a^2b^2 - 4a^2b^2 = 0$

[livid portal]

Mintcabo

[jolly furnace]

your discriminant is 0

[ember bobcat]

so answer is

B?

is it B?

bro went off

[jolly furnace]

yes

[ember bobcat]

oki doki

what does 9 mean

$aX^2+b=0$

[livid portal]

doodle

[ember bobcat]

and

it says

are two different real roots

[jolly furnace]

what does that say about the discriminant?

[ember bobcat]

does it mean $ax^2+b>=0$ ?

[livid portal]

doodle

[ember bobcat]

@jolly furnace

[jolly furnace]

no

[jolly furnace]

no

[ember bobcat]

hmm

[ember bobcat]

then what

does

two different real roots

mean

[jolly furnace]

it tells you something about the discriminant of the function

[ember bobcat]

ik

[jolly furnace]

which you should probably know, and if you don’t, this would be a really good time to learn it

[ember bobcat]

real

wait

it means

Discriminant > 0?

The answer is A?

[jolly furnace]

yes

[ember bobcat]

ok

10 is

hmm

[jolly furnace]

did you find the discriminant

[ember bobcat]

isk

idk

[ember bobcat]

no

no need to even find it

a = a

b = b

c = idfk

so

ab > 0

because they are two different real roots

[jolly furnace]

i would suggest doing so because you are wrong

[ember bobcat]

ok the answer is C

bro fuck it my dream to achieve engineering college is smashed

[jolly furnace]

did you find the discriminant or not

[ember bobcat]

no

fine

FINE

wait

[jolly furnace]

also, note that b is the constant term here

so a->a, b->0 and, confusingly, c->b when using the formula

[ember bobcat]

@jolly furnace

[jolly furnace]

b is the coefficient of the x term

[ember bobcat]

ye ik

[jolly furnace]

in your formula

[ember bobcat]

ig there is no $x$

[livid portal]

doodle

[jolly furnace]

so in your formula, b is 0

[ember bobcat]

why 0 and not 1

[jolly furnace]

and c is the coefficient of the constant term, which is b

[jolly furnace]

because there is no x

[ember bobcat]

so 0 ?

[jolly furnace]

confusingly, no

there are two bs in this question

[ember bobcat]

bro im about to get racist

[jolly furnace]

how? you don’t know what race i am

[ember bobcat]

i just hate on one certain race

no need to mention what race is it

now what do i do

[jolly furnace]

can we not use the formula b^2-4ac just this once

[ember bobcat]

my teacher will kill me

[jolly furnace]

it’s a multiple choice question

[ember bobcat]

Also the whole lesson is based off of using b^2-4ac

[jolly furnace]

and i’ll still be using it, we just can’t use a, b, and c

[ember bobcat]

im sure its solveable by b^2-4ac

[jolly furnace]

how do you want me to explain b=0 and c=b but c isn’t 0

genuinely

[ember bobcat]

fine

what other formula u wanna use?

[jolly furnace]

(??)^2 - 4(?)(???)
where
?? is the coefficient of the x term,
? is the coefficient of the x^2 term,
and ??? is the coefficient of the constant term

if this looks familiar it should be

what’s ? here

[ember bobcat]

a

[jolly furnace]

good, what’s ??

[ember bobcat]

b

???c

[jolly furnace]

no

[ember bobcat]

dawglus

[jolly furnace]

remember that the quadratic is ax^2 + b

there is no x term here

the coefficient is 0

[ember bobcat]

ok. (i understand)

[jolly furnace]

?? = 0

[ember bobcat]

nice

[jolly furnace]

what’s ???

[ember bobcat]

0

[jolly furnace]

why

[ember bobcat]

nvm

its b

[jolly furnace]

ok cool

so 0^2 - 4ab is our discriminant

or rather, -4ab

[ember bobcat]

mhm

u mean -4ac?

[jolly furnace]

mmm no

[ember bobcat]

ok

continue

[jolly furnace]

the question tells that -4ab > 0

[ember bobcat]

hmmmmmm

ab > 4

?

[jolly furnace]

no

[ember bobcat]

then what

[jolly furnace]

divide both sides by -4

[ember bobcat]

ab>0?

[jolly furnace]

and remember to flip the sign around since you’re dividing an inequality by a negative number

[ember bobcat]

ooo

ab<0

D

[jolly furnace]

yes

[ember bobcat]

FUCK

THESE RETARDS

DOGS

THEY SHIT

IN MY ROOM

FUCKING HELL

I WILL BEAT THEM UP REMOVE THE SHIT AND BE BACK

back

@jolly furnace no10

I got that a=1 b=b c=c

and

$b^2-4c<0$

[livid portal]

doodle

[jolly furnace]

number 10?

[ember bobcat]

yes

[jolly furnace]

https://media.discordapp.net/attachments/1292422933360148562/1292422933985234955/20241006_124632.jpg?ex=6703ae27&is=67025ca7&hm=3aec7e7560927189b8df52286c2e91bcdc08025303630ec345479c9a82129ed2&

a should be a

[ember bobcat]

o

didn't see it

[jolly furnace]

that’s fair

[ember bobcat]

lemme try again

i got the formula

[jolly furnace]

you also don’t know anything about the discriminant yet so you can’t set it to be smaller than 0

[ember bobcat]

$b^2-4ac<0$

[ember bobcat]

ye i did that

[livid portal]

doodle

[ember bobcat]

what now

[jolly furnace]

my point is you can’t do that?

use ac<0

[ember bobcat]

what

what am i doing wrong

someone help

before i pull out chatgpt

[jolly furnace]

b^2 - 4ac is not < 0

[ember bobcat]

but that's what the question says

nvm jt says ac <0

what do i do

do i do

$ac < b^2+4$

?

[livid portal]

doodle

[supple dirge]

hallo

what?

[ember bobcat]

hi

[jolly furnace]

you know how b^2 ≥ 0?

[supple dirge]

what on gods green lucious earth is this

[ember bobcat]

no

[supple dirge]

...

[ember bobcat]

pure retardism

bro i cant understand shit 😭

[ember bobcat]

what

[jolly furnace]

well, it is

(negative x negative = positive
positive x positive = positive
0 x 0 = 0)

i need to go now

good luck

[odd hawk]

@ember bobcat ya still need help

[ember bobcat]

e

[ember bobcat]

yes

[odd hawk]

Q10 right

So our discriminant is b^2-4ac

If it’s less than 0 no real roots

If it’s equal to 0 then it has repeated roots

If it’s more than 0 it has two distinct roots

Since b is a real number then b^2 >= 0

[ember bobcat]

hmmm

then

what happened to the (-4ac)

[odd hawk]

Act give me a sec

Oh I saw it wrongly

I thought they said c<0

I didn’t see the a😭

Anyway if ac<0

-4ac>0

[ember bobcat]

hm

[ember bobcat]

why

[odd hawk]

We multiply by -4

The sign gets flipped

[ember bobcat]

ok

[odd hawk]

As such b^2-4ac>0 for ac<0

[ember bobcat]

u mean divide?

divide both sides

but ac<0

[odd hawk]

misclick

[ember bobcat]

ok

[odd hawk]

ac<0
-4*ac>0

0*-4 is just 0 so

[supple dirge]

bru

what are we doing

[ember bobcat]

so ac>0?

[odd hawk]

No

-4ac>0

[ember bobcat]

bro fuck maths

[ember bobcat]

continue

[odd hawk]

Since -4ac>0 and b^2>0

b^2-4ac>0

The discriminant is greater than 0, and so there are always two unique real roots

[ember bobcat]

ty

ez

[supple dirge]

now try to determine the amount of roots in this equation

[ember bobcat]

why

[supple dirge]

2x^2-3x+1

is it 2, 1, or 0

[ember bobcat]

bro idk

wait

$2x^2-3x+1$

[livid portal]

doodle

[ember bobcat]

hmm

why u want me to answer that tho

[odd hawk]

Test

It’s not that deep

[ember bobcat]

dawg ok

idk

i say

hmmm

2

this is what i got

[odd hawk]

Correct

[ember bobcat]

@odd hawk @supple dirge

[odd hawk]

Why are you setting b^2-4ac=0 though

Or is it just the handwriting

[ember bobcat]

cuz what else do i set it to?

[odd hawk]

You don’t set it to anything you just calculate the value and check if that value is more than equal to or less than 0

[ember bobcat]

ok wait

its 1

above 0

[odd hawk]

Mhm

So two roots

[ember bobcat]

why is it two roots

and not 1

root

or more

how do u get 2 roots out of the number 1

@odd hawk

[odd hawk]

Alright so this is the quadratic equation correct?

Notice how our discriminant is in the square root part of the equation

Can you see that? @ember bobcat

[ember bobcat]

yes

[odd hawk]

Alright so

If b^2-4ac is above 0

[ember bobcat]

cuz the ±?

[odd hawk]

We have these two solutions

[odd hawk]

Yep

[supple dirge]

ye

[ember bobcat]

what if its below 0

[odd hawk]

If b^2-4ac=0

[supple dirge]

if b^2-4ac<0, the roots will be complex

and you'll learn that shortly, i assume

[ember bobcat]

so it will have 1 root only ?

[odd hawk]

If b^2-4ac=0 here both solutions are the equal, hence repeated roots

[supple dirge]

no, it will have 2 complex valued roots

trust me, you will learn it

anyways gtg

[ember bobcat]

alr

ima go to gym aswell

then comr back to this torture

[ember bobcat]

nvm no gym

@odd hawk i got 11 to be C

is it correct

[supple dirge]

dont think so

[ember bobcat]

bro what am i doing wrong

i used to be the goat of algebra

i got full mark in algebra exam last year

i solved the entire exam in no time

😔

[supple dirge]

uh

look again

b^2-4ac>0

[ember bobcat]

i cant fucking understand ts

what do i do fucking do

????

b^2-4ac

it's inside my head now

i swear if i sleep and dream of b^2-4ac

IM GOING INSANE DAWG

[supple dirge]

0 for 2 real roots?

[ember bobcat]

what?

[ember bobcat]

that's correct

but mad random

[supple dirge]

b^2-4ac>0

FOR 2 REAL ROOTS

[ember bobcat]

that's the answer ?

[supple dirge]

YES

[ember bobcat]

guess im retarded after all

[supple dirge]

wait one sec

im helping someone else

[ember bobcat]

ok

[supple dirge]

you can watch if u want

#1292506103342567504

[ember bobcat]

why the handwriting so bad

[supple dirge]

idk

[ember bobcat]

so what's the answer

[supple dirge]

wdym

for that question?

or for yours

[ember bobcat]

for mine

xd

i chose A

[supple dirge]

that is correct