Free Cubic Equation Calculator - Solves for cubic equations in the form ax^{3} + bx^{2} + cx + d = 0 using the following methods:

1) Solve the long way for all 3 roots and the discriminant Δ

2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.

This calculator has 5 inputs.

1) Solve the long way for all 3 roots and the discriminant Δ

2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.

This calculator has 5 inputs.

Δ = 4b^{3}d - b^{2}c^{2} + 4ac^{3} - 18abcd + 27a^{2}d^{2}

x1 = 2j * Cosine(k/3) - b/(3a)

x2 = l(m + n) + p

x3 = l(m - n) + p

For more math formulas, check out our Formula Dossier

x1 = 2j * Cosine(k/3) - b/(3a)

x2 = l(m + n) + p

x3 = l(m - n) + p

For more math formulas, check out our Formula Dossier

- cubic
- cubic equation
- An equation of the form ax
^{3}+ bx^{2}+ cx + d = 0 - equation
- a statement declaring two mathematical expressions are equal
- quadratic
- Polynomials with a maximum term degree as the second degree
- rational root theorem
- used to find the rational solutions of a polynomial equation
- synthetic division
- a shorthand method for dividing a polynomial by a linear factor
- unknown
- a number or value we do not know