Standard Calculator
Everyday arithmetic, with a little more room to think.
Math & Statistics · FREE TO USE
Quadratic Equation
Solve ax² + bx + c = 0, including complex roots.
02EXAMPLE RESULT
First root
2
Second root3
Discriminant1
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How this calculation works
The discriminant determines whether the equation has two real roots, one repeated real root, or a complex conjugate pair. The leading coefficient must be nonzero.
x = (−b ± √(b² − 4ac)) ÷ (2a)
Your calculation, step by step
- Discriminant = -5² − 4 × 1 × 6 = 1
- Roots: 2 and 3.
A worked example
x² − 5x + 6 = 0 has roots 2 and 3.