Find quadratic discriminant
Compute Δ = b² − 4ac and interpret the number of real roots.
Also known as: find quadratic discriminant calculator, discriminant calculator, find quadratic discriminant, algebra math, algebra find quadratic discriminant
Inputs
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Discriminant Δ
1.0000
Two distinct real roots
Δ = -5.0000² − 4(1.0000)(6.0000) = 1.0000
- Root typeTwo distinct real roots
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What this result means
Compute Δ = b² − 4ac and interpret the number of real roots. For ax² + bx + c = 0, Δ = b² − 4ac.
Assumptions
- Rule dependency: Universal formula.
How is it calculated?
For ax² + bx + c = 0, Δ = b² − 4ac.
Example
x² − 5x + 6 → Δ = 1 (two real roots).
Frequently asked questions
What if a = 0?+
The equation is not quadratic — use a linear solver instead.