Solve a quadratic equation
Solve ax² + bx + c = 0 with real or complex roots.
Also known as: solve a quadratic equation calculator, quadratic equation calculator, solve a quadratic equation, algebra math, algebra solve a quadratic equation
Inputs
Results update when you click Solve.
Real roots
x = 3.0000, x = 2.0000
Δ = 1.0000
Steps
| Step | Detail |
|---|---|
| 1 | a=1.0000, b=-5.0000, c=6.0000 |
| 2 | Δ = 1.0000 |
| 3 | x = (−b ± √Δ) / 2a |
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What this result means
Solve ax² + bx + c = 0 with real or complex roots. x = (−b ± √(b² − 4ac)) / 2a.
Assumptions
- Rule dependency: Universal formula.
Quadratic formula
x = (−b ± √(b² − 4ac)) / 2a.
Example
x² − 5x + 6 = 0 → x = 2, 3.
Frequently asked questions
Graph?+
See the equation-solver tool for a quick parabola sketch.