What is the Quadratic Equation Solver?
Solve ax² + bx + c = 0 with the quadratic formula, including complex roots. From percentages and fractions to logarithms and quadratic equations, these math calculators show exact results — using arbitrary-precision integers wherever whole-number answers can get very large.
How to use the Quadratic Equation Solver
- Enter your a, your b, your c.
- Results update automatically as you type; you can also press Calculate.
- Read the output: roots, discriminant (b² − 4ac), vertex.
- Use the 📊 chart to see the result visually, then copy or share it.
Formula and method
Worked example
With a = 1, b = -3, c = -10, the Quadratic Equation Solver returns roots: x₁ = 5, x₂ = -2; discriminant (b² − 4ac): 49; vertex: (1.5, -12.25).
Tips for better results
- Use the formula section on each page to check your homework method, not just the answer.
- For very large factorials, combinations and base conversions we use exact big-integer math.
- Floating-point results are rounded to 12 significant digits to remove binary noise.
Frequently asked questions
What does the Quadratic Equation Solver do?
Solve ax² + bx + c = 0 with the quadratic formula, including complex roots.
How is it calculated?
The Quadratic Equation Solver uses this method: x = (−b ± √(b² − 4ac)) ÷ 2a.
Can you show an example?
With a = 1, b = -3, c = -10, the Quadratic Equation Solver returns roots: x₁ = 5, x₂ = -2; discriminant (b² − 4ac): 49; vertex: (1.5, -12.25).
Is the Quadratic Equation Solver accurate?
Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.
Is this tool free and private?
Yes — the Quadratic Equation Solver is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.
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