SOLUTION: When are the roots of X^2 + ax + b complex? What does the sketch look like?

Question 699249: When are the roots of X^2 + ax + b complex? What does the sketch look like?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

if you have , compared to general form your , and
using quadratic formula you can find roots:

this part is discriminant, and if discriminant is less than zero, you will have complex roots
in your case discriminant is:
and if it is less than zero, you will have complex roots
Graph has no real roots, it has no , if both roots are complex.

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