Question

How is the discriminant used to identify the type of solutions you may find in quadratic equations?

Answer 1

If \({b^2} - 4ac > 0\) then we will get two real solutions to the quadratic equation, If \({b^2} - 4ac = 0\) then we will get a double root to the quadratic equation. If \({b^2} - 4ac < 0\) then we will get two complex solutions to the quadratic equation.

Explanation:

Answer 2

b^2-4ac>0
if this is true then there are 2 Real solutions
b^2-4ac=0
One Real Solution
b^2-4ac<0
Imaginary Solutions