Overview

The Quadratic Equation Solver finds the roots of equations in the form ax² + bx + c = 0 using the quadratic formula. It handles both real and complex roots and indicates the type of roots based on the discriminant.

Formula

Quadratic equation: ax² + bx + c = 0 (a ≠ 0)

Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a

Discriminant: D = b² - 4ac

D > 0 → two distinct real roots
D = 0 → one repeated real root
D < 0 → two complex conjugate roots

How to Use

1. 1Enter the coefficient a of the quadratic term (a ≠ 0).
2. 2Enter the coefficient b of the linear term.
3. 3Enter the constant term c.
4. 4The discriminant D and the two roots x₁, x₂ are calculated automatically.

Tips

• ✔If a = 0, it becomes a linear equation, not a quadratic one.
• ✔Check the sign of discriminant D first to know the type of roots.
• ✔Vieta's formulas: sum of roots = -b/a, product of roots = c/a.

FAQ