- Diana.xL

help

- schrodinger

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- Diana.xL

Find the value of the discriminant for each quadratic equation below. Show all steps needed to write the answer in simplest form, including substituting the values of a, b, and c in the discriminant formula. Then use the value to determine how many real number solutions each equation has.
2x^2 -3x = -5

- Diana.xL

- ganeshie8

Hey!

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## More answers

- Diana.xL

hi

- ganeshie8

do you know the "standard form" of quadratic equation ?

- Diana.xL

2x^2 -3x = -5
would my equation be 2x^2 -3x +5 = 0?

- ganeshie8

Exactly!

- anonymous

Did you solve it out like they asked you to? I honestly forgot how to do this work because I'm now a sophomore in high school so...

- ganeshie8

compare that with \(\color{red}{a}x^2 + \color{red}{b}x +\color{red}{c}=0\)

- ganeshie8

\(\color{red}{a}=?\)
\(\color{red}{b}=?\)
\(\color{red}{c}=?\)

- anonymous

Oh wait, never mind! You've got your answer. Never mind, you're on the right track. Carry on.

- Diana.xL

a = 2, b = -3, c = 5

- ganeshie8

Very good!
next find the discriminant using the definition :
discriminant = \(b^2-4ac\)

- ganeshie8

simply plugin the values and simplify

- Diana.xL

D = -3 – 4 (2)(5)

- anonymous

*applauding*

- ganeshie8

D = (-3)^2 – 4 (2)(5)

- anonymous

*Great! You're an official mathematics genius!*

- Diana.xL

oh ok. would my final answer be -31?

- ganeshie8

Yes, so the discriminant is \(-31\), which is negative.
so how many real solution the given quadratic equation will be having ?

- Diana.xL

Since D is negative, root (D) doesn’t exist so the roots are unreal.

- ganeshie8

Awesome! so there are no real roots for the given quadratic equation

- anonymous

Okay so let me get this straight: So the asking person is asking this very confusing question which I DO NOT GET ANYMORE!!!! (Sorry for all caps). Ah... could someone teach me this stuff again? I know the powers pretty well but this particular problem like this. It's not like it's for homework anything but I really need help understanding this. I'm learning Geometry this year and I really just need some math help right now. Thanks!

##### 1 Attachment

- anonymous

Hey! What about me @Diana.xL? That's just unsportsman like!

- ganeshie8

@MeShipLad32 please open a new question and tag me
I'd be happy to assist you :)

- anonymous

nope im good

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