# How do you find the roots, real and imaginary, of #y= (x-4)^2+(x-4)^2 # using the quadratic formula?

##### 1 Answer

Apr 6, 2018

First of all we change the quadratic to 0, or just change it to

Keep in mind this is not exactly equal to your initial problem, however whenever finding x-intercepts/roots, we substitute y with 0, and we are doing the same here. In order to use the quadratic equation, we need to get it in the form

We now know

The quadratic only has one root, 4.