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

##### 1 Answer

Nov 29, 2015

#### Answer:

Expand the expression on the right side into standard form, then apply the quadratic formula.

In this case there will be two imaginary roots

#### Explanation:

which is an example of quadratic standard form:

for which the roots are given by the quadratic formula

Which for our example becomes: