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How to Calculate Cubic Formula

What is Cubic Formula?

Cubic equation (ax³+bx²+cx+d=0) solver finds all roots using Cardano's formula; more complex than quadratic.

Step-by-Step Guide

  1. 1Input cubic coefficients a,b,c,d
  2. 2Apply Cardano's formula (complex procedure)
  3. 3Results show 1-3 real roots

Worked Examples

Input
x³ - 6x² + 11x - 6 = 0
Result
Roots: 1, 2, 3

Common Mistakes to Avoid

  • Using quadratic formula (wrong)
  • Not handling complex intermediate results

Frequently Asked Questions

When do complex roots occur?

Cubic always has ≥1 real root, but others may be complex conjugate pairs.

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