A new approach to solving the cubic: Cardan’s solution revealed

1993/11/01 by R.W.D. Nickalls, R. W. D. Nickalls · 4 citations
Mathematics · #History and Theory of Mathematics #Mathematical and Theoretical Analysis #Mathematics and Applications

paper · doi:10.2307/3619777

crossref issued 1993/11/01 · crossref published 1993/11/01 · crossref published-print 1993/11/01 · openalex publication_date 1993/11/01 · crossref created 2007/01/23 · crossref published-online 2016/08/01 · openalex created_date 2025/10/10 · crossref deposited 2025/11/12 · crossref indexed 2026/07/25 · openalex updated_date 2026/07/25

Abstract

The cubic holds a double fascination, since not only is it interesting in its own right, but its solution is also the key to solving quartics. This article describes five fundamental parameters of the cubic (δ, λ, h , x N , and y N ), and shows how they lead to a significant modification of the standard method of solving a cubic, generally known as Cardan’s solution.

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