About this tool
Solve ax² + bx + c = 0, including complex roots, and find the vertex of the parabola.
x = (−b ± √(b² − 4ac)) ÷ 2a. The discriminant D = b² − 4ac decides: D > 0 two real roots, D = 0 one, D < 0 two complex roots. The vertex is at x = −b/2a.
Formula: x = (−b ± √(b² − 4ac)) / 2a
Example: a = 1, b = -3, c = 2 → Root x₁ = 2, Root x₂ = 1.
a must not be 0 (that would be a linear equation). Roots are rounded to 10 significant digits.
Quick steps
- Enter your values — every field shows its unit.
- Press Calculate (or Try an example to see how it works).
- Read the results and copy them if you need them elsewhere.
The calculation runs in your browser. Nothing you type is sent to 1CLIK.
FAQ
How does the Quadratic Formula Calculator work?
x = (−b ± √(b² − 4ac)) ÷ 2a. The discriminant D = b² − 4ac decides: D > 0 two real roots, D = 0 one, D < 0 two complex roots. The vertex is at x = −b/2a.
What should I keep in mind?
a must not be 0 (that would be a linear equation). Roots are rounded to 10 significant digits.
Is my data sent anywhere?
No. The numbers stay on your device; the page only shows the result.