How to use this quadratic formula calculator
Enter the requested values above and select Calculate. The result updates immediately on the page, so you can change one value and compare different scenarios without leaving the calculator.
Formula and method
x = (−b ± √(b² − 4ac)) ÷ 2a.
Example
x² − 3x + 2 = 0 has roots x = 1 and x = 2.
What this calculator is useful for
Solve a quadratic equation in the form ax² + bx + c = 0 and identify real or complex roots. It is designed for quick estimates and everyday problem solving. When a calculation affects a contract, tax filing, medical decision or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
Frequently asked questions
What does the Quadratic Formula Calculator calculate?
Solve a quadratic equation in the form ax² + bx + c = 0 and identify real or complex roots.
How does the calculation work?
x = (−b ± √(b² − 4ac)) ÷ 2a.
Is this calculator free?
Yes. ERICH Calculators is free to use and no account is required.