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Quadratic Equation Solver

Find real or complex roots of ax² + bx + c = 0.

Quadratic Equation Solver● Ready
RESULTYour answer will appear here
UNDERSTAND THE RESULT

Useful context for this calculator

Arrange the equation in standard form and enter every coefficient, including zero for a missing term. The discriminant indicates whether the roots are real or complex.

  1. 1Enter every requested value.
  2. 2Check decimals, rates and units.
  3. 3Calculate and review the formula.
  4. 4Verify important figures independently.

Input and result checklist

Use this table before relying on the displayed answer.

CheckWhat to reviewWhy it matters
InputsValues, decimals, signs and unitsThe output depends entirely on the input
FormulaThe method displayed aboveShows what is and is not included
AssumptionsRates, time periods and fixed valuesReal conditions may be different
RoundingFinal displayed precisionSmall differences are normal
COMMON QUESTIONS

Questions about this tool

Can a equal zero?

No. If a is zero, the equation is linear rather than quadratic.

Is the calculator result exact?

It is a mathematical result or estimate based on your inputs. Fees, taxes, rules, measurement error or provider-specific terms may affect a real outcome.

Is my information saved?

The calculator does not require an account. Do not enter passwords, account numbers or sensitive personal information.

Reference and further reading

Continue your research with Wolfram MathWorld — Quadratic Equation ↗. External references do not imply endorsement.

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