Solve a quadratic equation in the form ax² + bx + c = 0 and identify real or complex roots.
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Right triangles, areas, slopes, distances and common coordinate-geometry formulas.
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.
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.
x² − 3x + 2 = 0 has roots x = 1 and x = 2.
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.
For x² − 3x + 2 = 0, the discriminant is 1, giving roots x = 1 and x = 2.
The discriminant helps distinguish two real roots, one repeated root, or complex roots.
When a is zero, the expression is linear and should not be treated as a quadratic.
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Solve a quadratic equation in the form ax² + bx + c = 0 and identify real or complex roots.
x = (−b ± √(b² − 4ac)) ÷ 2a.
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