Quadratic Equation Solver
Solve ax² + bx + c = 0 for both real and complex roots.
About this calculator
The Quadratic Equation Solver on NumberCals is a free, mobile-friendly tool for anyone needing to solve ax² + bx + c = 0 for both real and complex roots. Enter your values in the form below and the result is computed instantly — no sign-up, no installation, no waiting.
Formula used
x = (−b ± √(b² − 4ac)) / 2a
What you'll need
- a (e.g. 1)
- b (e.g. -3)
- c (e.g. 2)
What you'll get
- Discriminant
- Root 1
- Root 2
- Nature of Roots
Formula
x = (−b ± √(b² − 4ac)) / 2a
Result
Frequently Asked Questions
What does the discriminant tell me? +
b²−4ac. Positive: two real roots. Zero: one real (repeated) root. Negative: two complex conjugate roots.
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