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How to Calculate Cubic Equation

Find all roots of a cubic equation ax³ + bx² + cx + d = 0.

The Formula

Cardano's formula

The cubic equation formula uses the mathematical relationship: Cardano's formula. Each variable in the formula represents a measurable quantity that affects the final result.

Step-by-Step Method

  1. 1Identify all input values needed for the cubic equation calculation.
  2. 2Substitute your known values into the formula: Cardano's formula.
  3. 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
  4. 4Check that your result has the correct units and is within a reasonable range.
  5. 5Verify using the interactive Cubic Equation Calculator to confirm your answer.

Related Topics

cubic equationrootsalgebra

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