About this tool: Quadratic Equation Solver
Solve ax² + bx + c = 0, including complex roots. The coefficient a must be nonzero.
Enter the coefficients of ax²+bx+c=0 with a different from zero. A positive discriminant gives two real roots, zero gives one repeated root and a negative value gives a complex conjugate pair. A numerically stable formula preserves the smaller root when b is large.
How the calculation works
Worked example
| a | 1 |
| b | -3 |
| c | 2 |
x₁ = 1; x₂ = 2
Questions and answers
What does this tool do?
Solve ax² + bx + c = 0, including complex roots. The coefficient a must be nonzero. Enter the coefficients of ax²+bx+c=0 with a different from zero. A positive discriminant gives two real roots, zero gives one repeated root and a negative value gives a complex conjugate pair. A numerically stable formula preserves the smaller root when b is large.
What affects precision and input format?
Floating-point results are rounded for display. Keep the units shown in the input labels; decimal points and decimal commas are accepted.
Where are the calculations performed?
The calculation runs in your browser. You can use the tool without installing software.
Asted Cloud
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