How do you find the roots, real and imaginary, of #y=(x +5 )^2+6x+3# using the quadratic formula?
Expand square term:
This quadratic factorizes so there is no need of the Quadratic Formula:
If you would like to use the Quadratic Formula:
In this case
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.