A simpler method to get only the true solutions of cubic and quartic equations using Tschirnhaus transformation
Abstract
The classic method of solving the cubic and the quartic equations using Tschirnhaus transformation yields true as well as false solutions. Recently some papers on this topic are published, in which methods are given to get only the true solutions of cubic and quartic equations. However these methods have some limitations. In this paper the author presents a method of solving cubic and quartic equations using Tschirnhaus transformation, which yields only the true solutions. The proposed method is much simpler than the methods published earlier.
Language: English
Page range: 51 - 56
Submitted on: Mar 30, 2022
Accepted on: Aug 8, 2022
Published on: Sep 25, 2022
Published by: Pedagogical University of Cracow
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2022 Raghavendra G. Kulkarni, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.