Question

1.How can completing the square aid in solving quadratic functions?
2. What indicators predict that a quadratic function will have a complex solution?

Answer 1

1. Completing saquares permits to extract square root fo find the solutions.

This is the general equation when you complete the squares:

A(x-h)^2 + k = 0

Then you can obtain [x - h]^2 = - K/A and now you can extract square root in both sides.

2) If k and A have the same sigh, then - K/A is negative and the square root has not real solutions, i.e. the solution will be complex.