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Cubic Equation


A cubic equation is an equation involving a cubic polynomial, i.e., one of the form

 a_3x^3+a_2x^2+a_1x+a_0=0.

Since a_3!=0 (or else the polynomial would be quadratic and not cubic), this can without loss of generality be divided through by a_3, giving

 x^3+a_2^'x^2+a_1^'x+a_0^'=0.

A closed-form formula known as the cubic formula exists for the solutions of a cubic equation.


See also

Casus Irreducibilis, Cubic Formula, Cubic Polynomial

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Cite this as:

Weisstein, Eric W. "Cubic Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CubicEquation.html

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