# How do you find the roots, real and imaginary, of #y=(x +5 )^2+6x+3# using the quadratic formula?

##### 1 Answer

Dec 7, 2015

#### Explanation:

Expand square term:

Therefore

This quadratic factorizes so there is no need of the Quadratic Formula:

If you would like to use the Quadratic Formula:

In this case

Hence;

Regarding your question on real or complex roots, the roots of a quadratic function with real coefficients will either both be real or both be complex. In this case the roots are real.