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Cubic equation

This page calculates the roots of the cubic equation for complex values of coefficients ax³+bx²+cx+d=0 .

The calculation is implemented only if the coefficient a is not equal to zero.

If your coefficients are real numbers, set the imaginary part equal to zero.

Space characters in fields are removed.

The decimal point is denoted by .

If coefficients are real, there is always a real root.

If there is only one real root (algebraic multiplicity=1), then the other two roots are conjugate complex numbers.

Calculator

Blank fields are assumed to be the number zero