Revisiting the general cubic: A simplification of Cardano's solution
History and Overview
2022-08-12 v2
Abstract
Motivated by the recent work of William Y.C. Chen, in which he presents a way to solve cubic equations by considering the identity of Sylvester, we investigate the solutions obtained in this way. It leads us to a unified expression of the solutions different from Cardano's formula. Plenty of examples are given in this paper, also some interesting identities are obtained as byproducts.
Keywords
Cite
@article{arxiv.2204.07507,
title = {Revisiting the general cubic: A simplification of Cardano's solution},
author = {Hsin-Chieh Liao and Peter Jao-Shyong Shiue and Mark Saul},
journal= {arXiv preprint arXiv:2204.07507},
year = {2022}
}
Comments
To appear in "The Mathematical Gazette"; one remark is removed and some minor change