# How do you find the roots, real and imaginary, of #y=x(x-1)-(3x-1)^2 # using the quadratic formula?

##### 1 Answer

Jun 25, 2018

#### Answer:

Expand and simplify to find the equation in standard form, then apply the quadratic formula to obtain the roots:

#### Explanation:

The quadratic formula can be used with quadratic equations in standard form,

First expand and simplify the given equation to rearrange it into standard form.

This equation is now in standard form, where

To solve for the roots of the equation, set

Apply the quadratic formula: