What is the discriminant?

b² − 4ac; positive gives two real roots, zero gives one, negative gives complex roots.

The equation becomes linear and is solved as bx + c = 0.

Quadratic Equation Solver

Solve ax² + bx + c = 0 for real and complex roots.

a·x² + b·x + c = 0

abc

x₁ = 2, x₂ = 1

Discriminant: 1

Enter the coefficients a, b and c to find the roots of a quadratic equation, including complex ones.

What is the discriminant?: b² − 4ac; positive gives two real roots, zero gives one, negative gives complex roots.
What if a is 0?: The equation becomes linear and is solved as bx + c = 0.