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Which can replace a complicated solution presented by G. Cardano, and Francois Viete’s Vieta substitution? This paper also shows that one of the existing solution of the trigonometric function is to be changed to -cos(∅π/3) instead of cos(∅-4π/3) due to the range limit of the inverse trigonometric function [1].
The solution of cubic equations is well known since an Italian mathematician Gerolamo Cardano had established. In order to replace G. Cardano's solution, I hereby settle a simple and compact substitution for an easier solution [2].
A general form of cubic equations is written as,
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