Question

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.

Answer 1

@Hero @dan815

Answer 2

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

Answer 3

Do you have an idea on how to start?

Answer 4

no not at all

Answer 5

Do you know what the quadratic formula is?

Answer 6

what you mean?

Answer 7

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

Answer 8

That is the quadratic formula

Answer 9

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

Answer 10

Okay how do I work it lol..

Answer 11

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?

Answer 12

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

Answer 13

Close, but we just want 6, 12 and 5

Answer 14

Ohh lol

Answer 15

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

Answer 16

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

Answer 17

@sleepyjess

Answer 18

Now simplify what you have there

Answer 19

How?

Answer 20

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

Answer 21

Can you simplify any further?

Answer 22

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

Answer 23

I meant sqrt6 sorry

Answer 24

Sorry let me correct myself it is 2sqrt6

Answer 25

Is this Alg. 1

Answer 26

How!? And no its pre-calculus

Answer 27

what grade ar you in

Answer 28

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

Answer 29

me too im in pre-calc in 9th grade

Answer 30

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

Answer 31

How do I do that?

Answer 32

@carolinar7 simplified it for you

Answer 33

what do you mean you simplified it for me

Answer 34

you simplified the square root already

Answer 35

2 sqrt6?

Answer 36

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

Answer 37

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

Answer 38

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

Answer 39

Ohhh how did you get that?

Answer 40

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

Answer 41

Ohhh okay soo now I do -6/6?