Find the x-intercepts (if any) for the graph of the quadratic function.

6x2 + 12x + 5 = 0

medals :) Give your answers in exact form. Show your work.

Question

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

kkutie7 · Answer

correct me if I'm wrong but I'm pretty sure you just solve for x

pawanyadav · Answer

I think you want the difference of its two roots

nthenic_oftime · Answer

i didnt think it was JUST for x was it?

nthenic_oftime · Answer

sorry if this is stupid its SO late here

kkutie7 · Answer

I was assuming the whole y= function (x) thing 
so y= 0 then solve for possible x int. No? It's late here too I could be wrong

pawanyadav · Answer

Is it √(2/3)

kkutie7 · Answer

$$x=\frac{-b \pm\sqrt{b^{2}-4ac}}{2a}$$
you're missing something

nthenic_oftime · Answer

@Pawanyadav can you catch me up with howyuou got that ?

pawanyadav · Answer

I have difference of two roots 
Let them a,b are two roots
Then 
 (a-b)^2 =(a+b)^2 -4ab

Here we know sum and product of roots so we can easily find the difference

kkutie7 · Answer

yeah I don't know http://www.wolframalpha.com/input/?i=x+intercepts+of+6x%5E(2)%2B12x%2B5%3D0

directrix · Answer

We are looking for the two values of x at which 6x2 + 12x + 5 will equal 0.

6x^2 + 12x + 5 = 0

The Quadratic Formula is needed to find them.

directrix · Answer

@nthenic_oftime    Do you know how to get started on this problem using the Quadratic Formula?