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

Disclaimer:This tool is provided “as is” for informational and educational purposes only. Results may not be 100% accurate. ToolBird makes no warranties, express or implied, regarding the accuracy, reliability, or completeness of any output generated by this tool. This tool does not constitute professional, legal, financial, medical, or tax advice. Always consult a qualified professional for important decisions. By using this tool, you agree that ToolBird and its operators shall not be held liable for any damages, losses, or consequences arising from the use of this tool or reliance on its results. All processing occurs in your browser — we do not store, transmit, or access your data. Use at your own risk.