Math
Quadratic Equation Solver
Solve ax² + bx + c = 0 for real or complex roots.
Inputs
Quadratic Equation Solver
Result
Roots
2, 1
- Discriminant
- 1
How it's calculated
x = (−b ± √(b²−4ac)) / 2a
The quadratic formula
For ax² + bx + c = 0, roots are x = (−b ± √(b² − 4ac)) / (2a). The discriminant b² − 4ac tells you the nature of the roots: positive → two real roots, zero → one repeated root, negative → two complex conjugates.
Related tools
For general arithmetic use the Scientific Calculator; for factoring integer coefficients, the GCD & LCM Calculator can help.