# How do you find the roots, real and imaginary, of #y=-2(x - 2)^2-x^2+x + 12# using the quadratic formula?

##### 1 Answer

You gotta re-write it in the proper form...

#### Explanation:

Remember that your quadratic equation is meant to find x for equations of form

So you start by:

...so now you have your coefficients a, b, and c for the quadratic equation.

Plug these in to the quadratic formula:

I get roughly

It's always good to check your answers by plugging these values for x into your original equation. You should get zero. (which you don't, with these values, exactly, because I've rounded off. But it's very close.)

GOOD LUCK