Quadratic Formula Calculator

Solve quadratic equations ax\u00B2+bx+c=0. Get both roots, discriminant, vertex, axis of symmetry, and parabola graph with step-by-step solution.

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Enter coefficients for ax\u00B2 + bx + c = 0

x\u00B2 +
x +
= 0
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About the Quadratic Formula Calculator

This calculator solves any quadratic equation of the form ax² + bx + c = 0 using the quadratic formula. It handles all cases: two distinct real roots, one repeated root, and complex conjugate roots.

Features

  • Solves for both real and complex roots
  • Computes discriminant with interpretation
  • Finds vertex and axis of symmetry
  • Shows y-intercept and direction of opening
  • Interactive parabola graph with labeled key points
  • Detailed step-by-step solution
  • Quick preset examples for common equations

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Disclaimer: This tool is provided as-is for informational and educational purposes only.

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