AllEasyToolsUpper secondary
Quadratic equation
Quadratic equation: formula, units and explained result. No account required. Processing stays in your browser.
ax² + bx + c = 0; Δ = b² − 4ac
Coefficient a must be nonzero. Includes complex roots.
How to use this calculator
- Identify the quantities and convert them to the units shown.
- Apply the formula first, then compare with the substitution and result.
- Check the assumptions and whether the order of magnitude makes sense.
Levels are approximate topic groupings, not a complete curriculum for every country. Numerical results are rounded and may lose precision for extreme or nearly singular inputs.
A practical example
Use these sample inputs to check the calculation before entering your own values.
- a
- 1
- b
- -3
- c
- 2
Result for this example
- Discriminant
- 1
- Root 1
- 2
- Root 2
- 1