Quadratic Equation Solver
Solve ax squared + bx + c = 0
ax² + bx + c = 0
Solutions
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📚 Learn more — how it works, FAQ & guide Click to expand
Learn more — how it works, FAQ & guide
Click to expand
Quadratic equation solver
Solve ax² + bx + c = 0. Real or complex roots shown with discriminant + vertex.
How to use this tool
- 1
Enter a, b, c
Coefficients of ax² + bx + c = 0.
- 2
See roots
Real or complex. Discriminant shown.
- 3
See vertex
Plus axis of symmetry and factored form when possible.
Frequently Asked Questions
Discriminant meaning
Δ = b² - 4ac. If Δ > 0: two real roots. If Δ = 0: one real root (double). If Δ < 0: two complex roots.
Quadratic formula
x = (-b ± √(b² - 4ac)) / 2a. Works for any a, b, c where a ≠ 0.
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