SOLUTION: f(x)=-6x^2+6x+12. How do i solve for x? thanks!

Question 604124: f(x)=-6x^2+6x+12. How do i solve for x?
thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Use the quadratic formula

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=-6, b=6, and c=12

Square 6 to get 36

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and -6 to get -12

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or

RELATED QUESTIONS
Solve for f(x)= 0 for x, f(x)= 6x^2-54 thanks for your... (answered by Tatiana_Stebko)

How do i find the domain for... (answered by Gogonati)

how do i solve... (answered by jim_thompson5910)

How do I solve this problem?... (answered by sarah_adam)

how do i solve... (answered by stanbon)

how do I solve for x in... (answered by Edwin McCravy)

Can you help me solve for x in this equation? -6x+6x^2=0 I think the first step is to... (answered by bucky)

How do I solve for x in this equation? 6x^2 + 5x � 6 =... (answered by JBarnum)

Please help. How do I solve for x?... (answered by Earlsdon)