Quadratic Formula Calculator
Solve ax² + bx + c = 0 step by step
Use this when you need a fast, accurate result — no sign-up, works entirely in your browser.
Discriminant (b² − 4ac)—
Root x₁—
Root x₂—
How to Use
- Enter your details into the fields above.
- Click the calculate button to get your result instantly.
- Use the clear button to start a new calculation.
Example
- x² − 5x + 6 = 0 (a = 1, b = −5, c = 6) → Discriminant = 1, roots x₁ = 3 and x₂ = 2
- x² + 2x + 5 = 0 (a = 1, b = 2, c = 5) → Discriminant = −16, complex roots −1 + 2i and −1 − 2i
Formula
x = (−b ± √(b2 − 4ac)) ÷ 2a. The discriminant b2 − 4ac decides the outcome: positive = two real roots, zero = one real root, negative = a complex pair.
About Quadratic Formula Calculator
Solve ax² + bx + c = 0 step by step. This free online tool gives you fast, accurate results without registration or downloads.
Everything runs locally in your browser, so your data is never uploaded or stored — privacy first.
Frequently Asked Questions
Is this tool free to use? +
Yes, it is completely free with no registration or download required.
Is my data private? +
Yes. Everything is processed locally in your browser. Nothing is uploaded or stored on our servers.
Does it work on mobile? +
Yes, it works on any device — phone, tablet, or desktop.