# How do you find the roots, real and imaginary, of #y=-5x^2 + 17x +12(x/2-1)^2 # using the quadratic formula?

##### 1 Answer

or

#### Explanation:

First we simplify the equation to bring it to the standard form.

Therefore we need to simplify the third term of the equation using

Here

This is the standard form of the equation.

Now we can simply use the quadratic formula to find the roots of this equation.

The Delta (

If the Delta was equal to zero, the roots would've been real and equal.

If the Delta was less than zero the roots would've been imaginary and imaginary roots always come in pairs.