Algebra

Discriminant

Determines the nature of quadratic roots.

Δ = b² − 4ac

Variables

Δ
discriminant
a,b,c
quadratic coefficients

Example

Δ>0 gives two distinct real roots

How to use this formula

Identify the known values, keep units consistent, substitute the values into the formula, and calculate carefully. Then check whether the result is reasonable for the original problem.