Cubic Equation Solver
Cubic Equation: a planned Super Calculator tool. Covers coefficients a, b and c. Stub page: the tool, its formula and a worked example are not published yet.
Cubic Equation Solver is a planned calculator in the mathematics section of Super Calculator, covering algebra and number theory.
What this calculator will compute
Inputs: coefficients a, b, c and d.
Outputs: three roots (real or complex), discriminant, nature of roots and factored form.
Formula, recorded as scope and not yet verified against a primary source: Depress ax^3 + bx^2 + cx + d = 0 by the substitution x = t - b/(3a), then apply Cardano’s formula. The trigonometric form is required in the casus irreducibilis, where three real roots arise from a negative discriminant and Cardano’s radicals become complex.
Status
This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.
The stub carries noindex, nofollow and is excluded from the sitemap.