A simpler method to get only the true solutions of cubic and quartic equations using Tschirnhaus transformation

DOI10.2478/aupcsm-2022-0005zbMath1506.12002OpenAlexW4297058887MaRDI QIDQ2084339

Raghavendra G. Kulkarni

Publication date: 18 October 2022

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/aupcsm-2022-0005

zbMATH Keywords

cubic equationsTschirnhaus transformationquartic equationsfalse solutionstrue solutions

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Cites Work

• A method for removing all intermediate terms from a given equation
• Polynomial transformations of Tschirnhaus, Bring and Jerrard
• Picking genuine zeros of cubics in the Tschirnhaus method
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