pre cal 1

[wide dust]

someone help me pls

[lyric wind]

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[wooden rune]

Okay so, do you know what b^2-4ac stands for

[wide dust]

um

no

this is like a rush

uh

i mean not rly a rush

[wooden rune]

is this an exam

[wide dust]

no

i wouldnt be on if it was

[wooden rune]

it says midterm exam

[wide dust]

practice

not a test

[wooden rune]

hmm okay

ever heard of discriminant?

[wide dust]

yes

[wooden rune]

okay great

so lets say

[wide dust]

hm

[wooden rune]

$a^2+bx+c$

[simple willow]

Calculus is ∫exy #DemoteDappy

[wooden rune]

lets have this here

[wide dust]

okay

=0 at the end but yea

[wooden rune]

for this equation, or inequation doesnt matter, to find the discriminant

[wide dust]

ok

[wooden rune]

$\delta = b^2-4ac$

[simple willow]

Calculus is ∫exy #DemoteDappy

[wooden rune]

delta stands for discriminant

[wide dust]

mhm

[wooden rune]

so, there are 3 situations for discriminant

it tells us whether there are two solutions, one solution, or no solutions.

so it tells us about the existence of roots, basically

When the discriminant is less than zero, there are no real roots

[wide dust]

2

okok

[wooden rune]

When the discriminant is equal to 0, there is exactly one real root.

[wide dust]

wait

so no real

answer

is that wat ur sayin

[wooden rune]

what?

[wide dust]

wait no

[wooden rune]

oh yes

[wide dust]

sorry

that means

its not touchin

the graph

or lines

correct?

[wooden rune]

hmmm not really

you are correct, that since delta is less than 0, there are no real roots

in a graph, the x axis gives us the roots, if a graph cut the x axis in 3 different points, there are 3 different roots, if it touches x axis 3456789 times there are 3456789 roots and so on

IF, there's no reel root

that means...?

[wide dust]

that means

its a

cuz

there is 2

[wooden rune]

it doesnt matter

just forget everything for a second

[wide dust]

okay

okay

[wooden rune]

if you continue the graph at a, it will cut the x axis

that means it has roots

[wide dust]

hm

[wooden rune]

as i said, where the graph touches the x axis, that means its that graphs root

[wooden rune]

.

[wide dust]

oh it does

touch x

oh

hhh

[wooden rune]

right

[wide dust]

D

D

D

sorry

[wooden rune]

yes!!

see how easy!

[wide dust]

tysmmmmmmm

yeah

[wooden rune]

also

keep this, may help you

[wide dust]

ty

[wooden rune]

a summary of what we just learned

[wide dust]

i will

[wooden rune]

yww

+close