Quadratic Equation Calculator
Solve any quadratic equation of the form ax² + bx + c = 0 using the quadratic formula. Shows real and complex roots.
Enter coefficients for ax² + bx + c = 0
Roots
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Quadratic Formula
x = (−b ± √(b² − 4ac)) / 2a
x² − 5x + 6 = 0 (a=1, b=−5, c=6)
Discriminant = 25 − 24 = 1
x = (5 ± 1) / 2 → x = 3 or x = 2
Discriminant = 25 − 24 = 1
x = (5 ± 1) / 2 → x = 3 or x = 2
Discriminant
| Discriminant (Δ) | Nature of Roots |
|---|---|
| Δ > 0 | Two distinct real roots |
| Δ = 0 | One repeated real root |
| Δ < 0 | Two complex roots |
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Last updated: 2026-08-08