Quadratic Equation Calculator

A quadratic equation has the form ax² + bx + c = 0. This calculator solves it instantly using the quadratic formula, showing both roots (which may be real, repeated or complex), the discriminant and the nature of the solution.

Root x₁
3
Root x₂
2
Discriminant (Δ)
1
Nature of roots
Two distinct real roots

Frequently asked questions

What does the discriminant tell me?

If Δ > 0: two distinct real roots. If Δ = 0: one repeated real root. If Δ < 0: two complex (imaginary) roots - the parabola does not cross the x-axis.

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