The Midpoints Between Roots Reveal the Quartic Equation

DOI10.1080/00029890.2020.1697589zbMath1435.30020OpenAlexW3008108289MaRDI QIDQ5217613

Javier Sánchez-Reyes

Publication date: 25 February 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1697589

zbMATH Keywords

zerosquartic polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10) Numerical computation of roots of polynomial equations (65H04)

Cites Work

• A generalization of the Bôcher-Grace theorem
• Geometry of Cubic Polynomials
• Quartic Coincidences and the Singular Value Decomposition
• A Geometric Interpretation of the Solution of the General Quartic Polynomial
• The quartic equation: alignment with an equivalent tetrahedron
• Solving the Quartic with a Pencil
• Graphical Solutions of Cubic, Quartic, and Quintic
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