Math
Quadratic Equation Solver
Real and complex roots of ax² + bx + c.
Result
2.0000, 1.0000
ax² + bx + c = 0
Discriminant
1.0000
Roots
2 real
Download results
Quick summary
Solve any quadratic equation and see the discriminant and root type.
How to calculate quadratic equation solver manually
- x = (−b ± √(b² − 4ac)) / 2a.
- Discriminant > 0 → two real roots; = 0 → double root; < 0 → complex conjugate pair.
Solve any quadratic equation and see the discriminant and root type.
How it works
x = (−b ± √(b² − 4ac)) / 2a. Discriminant > 0 → two real roots; = 0 → double root; < 0 → complex conjugate pair.
Example
x² − 3x + 2 = 0 → x = 1, 2 (Δ = 1).
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