Quadratic Discriminant
Classify the real roots of ax² + bx + c using the discriminant.
Your numbers
Discriminant
Use consistent units. The result follows the assumptions you enter.
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Formula
Δ = b² − 4ac
Classify the real roots of ax² + bx + c using the discriminant.
Worked example
- a, nonzero
- 1
- b
- -5
- c
- 6
- Discriminant
- 1
- Distinct real roots
- 2
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
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Formula version: d9e97c2d3e6f · Example checked: