Find polynomial roots
Find real and complex roots of quadratic and cubic polynomials.
Also known as: find polynomial roots calculator, polynomial roots calculator, find polynomial roots, algebra math, algebra find polynomial roots
Inputs
Optional
Results update when you click Find roots.
Roots
x = 3.000000; x = 2.000000
1.0000x² + -5.0000x + 6.0000 = 0
Steps
| Step | Detail |
|---|---|
| 1 | Equation: 1.0000x² + -5.0000x + 6.0000 = 0 |
| 2 | Apply quadratic formula |
| 3 | Roots: x = 3.000000, x = 2.000000 |
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What this result means
Find real and complex roots of quadratic and cubic polynomials. Quadratic: x = (−b ± √(b²−4ac)) / 2a. Cubic uses Cardano's method.
Assumptions
- Rule dependency: Universal formula.
- Optional fields use sensible defaults when left blank.
Root formulas
Quadratic: x = (−b ± √(b²−4ac)) / 2a. Cubic uses Cardano's method.
Example
x² − 5x + 6 = 0 → x = 2 and x = 3.
Frequently asked questions
Higher degree?+
This tool handles quadratics and cubics. Use numeric methods for higher degrees.