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Cubic Equation Calculator

Cubic Equation Calculator

Solve cubic equations of the form ax³ + bx² + cx + d = 0. Finds one real root using Cardano's method.

Math

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Coefficient a

Coefficient b

Coefficient c

Coefficient d

Formula

A cubic equation has the form ax³ + bx² + cx + d = 0. This calculator finds one real root using Cardano's formula.

Find root of ax³ + bx² + cx + d = 0

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter coefficients a, b, c, and d.
2Click Calculate to find one real root.
3The root is computed using Cardano's method.

Examples

Solve x³ − 6x² + 11x − 6 = 0

1.Enter a=1, b=-6, c=11, d=-6.
2.Cardano's formula yields root = 1.
3.The full set is {1, 2, 3}.
4.Result: x = 1.

Result: 1

Solve x³ − 1 = 0

1.Enter a=1, b=0, c=0, d=-1.
2.Cardano's formula yields ∛1 = 1.
3.Result: x = 1.

Result: 1

Frequently Asked Questions

No, this calculator finds one real root. Cubic equations always have at least one real root.

Cardano's formula is a method for solving cubic equations, involving complex intermediate calculations that simplify to real solutions.

If a = 0, the equation is quadratic, not cubic. Use the Quadratic Equation Calculator instead.

Yes, a cubic equation can have one real root and two complex roots. This calculator only shows the real root.

Yes, all coefficients can be decimals.

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CalculateMe Team

Last updated: 2026-07-13

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Cubic Equation Calculator - Solve ax³ + bx² + cx + d = 0 | CalculateMe | CalculateMe