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arXiv · 2204.07507

Revisiting the general cubic: A simplification of Cardano's solution

Hsin-Chieh Liao·Peter Jao-Shyong Shiue·Mark Saul
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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.

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Hsin-Chieh Liao, Peter Jao-Shyong Shiue, Mark Saul. 2022-04-15. Revisiting the general cubic: A simplification of Cardano's solution. https://arxiv.org/abs/2204.07507

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