Quadratic Formula Calculator

Solve ax² + bx + c = 0 and find roots instantly.

1x² + -5x + 6 = 0

Real & Complex Roots

Find both real and complex roots. Shows discriminant to determine root type.

Step by Step

See the complete solution process using the quadratic formula.

Graph Preview

Visualize where the parabola crosses the x-axis.

FAQ

What is the quadratic formula?

x = (-b ± √(b²-4ac)) / 2a. It solves any equation in the form ax²+bx+c=0.

What does the discriminant tell us?

If b²-4ac > 0: two real roots. If = 0: one repeated root. If < 0: two complex roots.