Math & Algebra

Quadratic Equation Solver

Solve quadratic equations (ax² + bx + c = 0) for real and complex roots and vertex.

Calculated Result

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About Quadratic Equation Solver

Solve quadratic equations (ax² + bx + c = 0) for real and complex roots and vertex.. Designed for accurate, instantaneous calculations with zero wait time.

Formula

x = [-b ± √(b² - 4ac)] / 2a

Example Calculation

For x² - 5x + 6 = 0: Roots are x1 = 3 and x2 = 2 (Discriminant Δ = 1).

How to Use

  1. Enter your values into the form fields above.
  2. The calculation updates immediately in real time.
  3. Inspect the main summary and secondary breakdowns below.
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