# What is the discriminant and how do you find it?

Oct 22, 2014

The discriminant is part of the quadratic formula.

$x = \frac{- b \pm \sqrt{{b}^{2} - 4 a c}}{2 a}$

Discriminant

${b}^{2} - 4 a c$

The discriminant tells you the number and types of solutions to a quadratic equation.

${b}^{2} - 4 a c = 0$, one real solution

${b}^{2} - 4 a c > 0$, two real solutions

${b}^{2} - 4 a c < 0$, two imaginary solutions