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Quadratic Equation Solver

Solve quadratic equations ax² + bx + c = 0 with real and complex roots, discriminant and vertex.

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ax² + bx + c = 0

Solve quadratic equations ax² + bx + c = 0 with real and complex roots, discriminant and vertex.

What is the Quadratic Equation Solver?

Enter a, b and c for any equation in the form ax² + bx + c = 0 to get the roots using the quadratic formula. The solver shows the discriminant, whether the roots are real or complex, the vertex of the parabola and the working.

How to use the Quadratic Equation Solver

  1. Enter the values of a, b and c.
  2. Read the roots and discriminant.
  3. Check the step shown below the results.

Frequently asked questions

What does the discriminant tell me?

If b²−4ac > 0 there are two real roots, if it is 0 there is one, and if it is negative the roots are complex.

This quadratic equation solver is 100% free, needs no signup and runs in your browser, so your data stays private.

Last updated: · By NodifyTech