CalculateMeasure

Math & Geometry

Discriminant Calculator

Calculate the discriminant of a quadratic equation and classify its roots.

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Calculator guide

How to use the Discriminant Calculator

Calculate the discriminant of a quadratic equation and classify its roots. Enter the requested values and select Calculate. The result and supporting values are produced locally in your browser.

Formula

Discriminant = b² − 4ac

Worked example

For x² − 5x + 6, the discriminant is 1, so there are two distinct real roots.

What to keep in mind

  • The sign of the discriminant determines the real/complex root pattern.

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?

Calculate the discriminant of a quadratic equation and classify its roots.

How is the result calculated?

Discriminant = b² − 4ac.

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.