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Quadratic Equation Solver

Quadratic Equation Solver

Math

Solve ax² + bx + c = 0 and find roots.

Solves ax² + bx + c = 0

A quadratic equation has the form ax² + bx + c = 0. Its roots are found with the quadratic formula x = (−b ± √(b²−4ac)) ÷ 2a, where the discriminant (b²−4ac) determines the nature of the solutions: positive discriminant gives two distinct real roots, zero gives one repeated root, and negative gives two complex conjugate roots. This solver handles all three cases automatically.

How to use Quadratic Equation Solver

  1. 1Open the Quadratic Equation Solver calculator above.
  2. 2Enter your values into the input fields.
  3. 3Read the result shown instantly.

Formula

x = (−b ± √(b²−4ac)) ÷ 2a

Example

x² − 5x + 6 = 0 → x = 2, x = 3.

FAQs

What is Quadratic Equation Solver؟

Solve ax² + bx + c = 0 and find roots.

Is Quadratic Equation Solver free to use?

Yes — it is 100% free, runs entirely in your browser, and needs no sign-up.

Does Quadratic Equation Solver work on mobile?

Yes, it is fully responsive and works on phones, tablets, and desktops.

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