CalculateMeasure

Math & Geometry

Quadratic Formula Calculator

Solve a quadratic equation ax² + bx + c = 0 using the quadratic formula.

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Calculator guide

How to use the Quadratic Formula Calculator

Solve a quadratic equation ax² + bx + c = 0 using the quadratic formula. Enter the requested values and select Calculate. The result and supporting values are produced locally in your browser.

Formula

x = (−b ± √(b² − 4ac)) ÷ (2a)

Worked example

For x² − 5x + 6 = 0, the roots are 3 and 2.

What to keep in mind

  • A negative discriminant produces a complex-conjugate pair of roots.

Methodology

This calculator uses deterministic arithmetic and performs the calculation locally in your browser. Verify assumptions, units, and source values for your specific use case.

Review standard: Level A · Standard formula. How calculator reviews work.

Frequently asked questions

What does this calculator calculate?

Solve a quadratic equation ax² + bx + c = 0 using the quadratic formula.

How is the result calculated?

x = (−b ± √(b² − 4ac)) ÷ (2a).

Can I use the result for an important decision?

Use the result as a calculation aid and verify the inputs, assumptions, and applicable professional or regulatory requirements before relying on it for an important decision.

Does CalculateMeasure store the values I enter?

The calculator performs its arithmetic in your browser. The calculator itself does not need to send your entered values to a server to produce the result.