Find the x-intercepts (if any) for the graph of the quadratic function.
6x2 + 12x + 5 = 0
Give your answers in exact form. Show your work.

- anonymous

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- anonymous

@Hero @dan815

- anonymous

@Jhannybean @satellite73 @Loser66 @freckles @EclipsedStar @King.Void. @sleepyjess can someone help me please?

- sleepyjess

Do you have an idea on how to start?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

no not at all

- sleepyjess

Do you know what the quadratic formula is?

- anonymous

what you mean?

- sleepyjess

\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)

- sleepyjess

That is the quadratic formula

- sleepyjess

It may look intimidating, but it's not too bad once you know how to work it :)

- anonymous

Okay how do I work it lol..

- sleepyjess

A quadratic equation is ALWAYS "Ax^2 + Bx + C = y"
To use the quadratic formula, you will want to substitute 0 for y, which has already been done.
Can you figure out what A, B, and C are in the quadratic equation you have?

- anonymous

A= 6x^2
B= 12x
C= 5

- sleepyjess

Close, but we just want 6, 12 and 5

- anonymous

Ohh lol

- sleepyjess

So now we just substitute in 6 for a, 12 for b, and 5 for c
then work out the equation

- anonymous

I got down to \[x= \frac{ -12\pm \sqrt{24} }{ 12 }\] now what do I do?

- anonymous

@sleepyjess

- carolinar7

Now simplify what you have there

- anonymous

How?

- carolinar7

\[x=\frac{ -12-+4\sqrt{6} }{ 12 }\]

- carolinar7

Can you simplify any further?

- anonymous

Why 4 sqrt7 instead of sqrt24=4.89....?

- anonymous

I meant sqrt6 sorry

- carolinar7

Sorry let me correct myself it is 2sqrt6

- carolinar7

Is this Alg. 1

- anonymous

How!? And no its pre-calculus

- carolinar7

what grade ar you in

- anonymous

@sleepyjess please help me, I don't understand!!

- carolinar7

me too im in pre-calc in 9th grade

- sleepyjess

oh goodness, I forgot about the square root simplifying >_<

- anonymous

How do I do that?

- sleepyjess

@carolinar7 simplified it for you

- carolinar7

what do you mean you simplified it for me

- sleepyjess

you simplified the square root already

- anonymous

2 sqrt6?

- carolinar7

It is not completely simplified though, you can simplify further too

- carolinar7

\[x=\frac{ -6+-\sqrt{6} }{ 6 }\]

- anonymous

so where do I go from \[x= \frac{ -12 \pm 2\sqrt{6} }{ 12 }\]

- anonymous

Ohhh how did you get that?

- carolinar7

You simplify it and divide by 2 because that is what they share in common

- anonymous

Ohhh okay soo now I do -6/6?

- carolinar7

|dw:1443753373282:dw|

- carolinar7

no you cant simplify any further

- anonymous

so thats the exact form?

- carolinar7

Wait let me do it on a paper

- carolinar7

Yes that is the most you can simplify it

- anonymous

Okay thank you!

- carolinar7

yup

Looking for something else?

Not the answer you are looking for? Search for more explanations.