Quadratic Formula Calculator — Solve ax² + bx + c
Solve quadratic equations ax² + bx + c = 0 step by step. Shows the discriminant and both roots — free, no signup.
Tool Interface
Quadratic Formula Calculator
Solve ax² + bx + c = 0 — step by step
How to use
- Enter the coefficients a, b and c.
- Hit Solve to see both roots and the working steps.
- Watch the discriminant to know if roots are real or repeated.
Everything runs in your browser — no data leaves your device.
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About This Tool
Solve Quadratic Equations Step by Step
The Quadratic Formula Calculator solves any equation of the form ax squared + bx + c = 0. Enter the coefficients a, b and c, and the tool returns both roots with the full working steps shown. It also computes the discriminant and tells you the nature of the roots.
It is ideal for algebra homework, exam revision and quick checks of hand calculations. Watching the discriminant tells you at a glance whether the roots are real, repeated or complex. Everything runs in your browser, so no data leaves your device. The tool is free and needs no signup.
How to Use the Quadratic Formula Calculator
Three steps from coefficients to solutions.
- Enter the coefficients: Type the values of a, b and c from your equation.
- Click Solve: The tool applies the quadratic formula.
- Read the results: See both roots, the discriminant value and the nature of the roots. Click Reset to solve another equation.
Reading the Discriminant
- Positive discriminant: Two distinct real roots. The parabola crosses the x-axis twice.
- Zero discriminant: One repeated real root. The parabola just touches the x-axis.
- Negative discriminant: No real roots. The solutions are a complex conjugate pair.
- Formula check: The discriminant is b squared minus 4ac, computed for you automatically.
Key Features
- Both roots shown: Complete solutions, not just one answer.
- Steps included: Full working is displayed for learning and checking.
- Discriminant analysis: Know the nature of the roots instantly.
- Private by design: All math happens in your browser. Nothing leaves your device.
- Free for students: No signup, no cost, unlimited use.
Frequently Asked Questions (FAQ)
Is the Quadratic Formula Calculator free? Yes. It is completely free with no signup.
What is the quadratic formula? For ax squared + bx + c = 0, the solutions are x = (minus b plus or minus the square root of (b squared minus 4ac)) divided by 2a.
What does the discriminant tell me? The sign of b squared minus 4ac reveals whether you get two real roots, one repeated root or complex roots.
Can a be zero? If a is zero the equation is linear, not quadratic. Enter a nonzero a for the formula to apply.
Does it show the steps? Yes. Every result includes the step by step working.
Is my input sent anywhere? No. The calculation runs entirely in your browser.
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