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.

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Sobre o 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.

Como usar o Quadratic Equation Solver

  1. Enter the coefficients a, b and c.
  2. The roots appear instantly.
  3. Check the discriminant explanation.
  4. Follow the steps for your homework write-up.

Principais recursos

What does the discriminant tell me?
b² − 4ac decides everything: positive means two distinct real roots, zero means one repeated root, and negative means a pair of complex conjugate roots.
What if a is zero?
Then the equation is linear (bx + c = 0), not quadratic, and has a single root −c/b — the solver handles this case automatically.

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