How this calculator works
Enter coefficient a, coefficient b, coefficient c. Select Calculate to apply the displayed formula and review the labeled results.
Formula / method
x = (−b ± √(b² − 4ac)) ÷ 2a
Worked example
x² − 3x + 2 = 0 has discriminant 1 and roots 2 and 1.
Assumptions and limitations
Coefficient a is non-zero and all coefficients are real numbers.
Results are rounded for display and very large coefficients can reduce floating-point precision.