Quadratic Equation Solver
Solve ax² + bx + c = 0 with discriminant and complex roots. Solve quadratic equations with step-by-step working. Real or complex roots, discriminant explained and vertex shown. Free quadratic formula calculator.
About the Quadratic Equation Solver
Every quadratic equation ax² + bx + c = 0 can be solved with one formula — but substituting correctly and interpreting the discriminant is where marks are lost. Enter a, b and c and this solver computes both roots using the quadratic formula, classifies them via the discriminant (two real, one repeated, or a complex conjugate pair), shows the vertex of the corresponding parabola, and lists the steps so you can follow the working, not just the answer.
How to use the Quadratic Equation Solver
- Enter the coefficients a, b and c.
- The roots appear instantly.
- Check the discriminant explanation.
- Follow the steps for your homework write-up.
Key features
- Both roots via the quadratic formula
- Discriminant value and interpretation
- Complex roots fully supported
- Vertex of the parabola included
What does the discriminant tell me?
What if a is zero?
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