English

Cubic equations with 2 Roots in the interval $[-1, 1]$

Numerical Analysis 2025-01-14 v3 Numerical Analysis

Abstract

The conditions for cubic equations, to have 3 real roots and 2 of the roots lie in the closed interval [1,1][-1, 1] are given. These conditions are visualized. This question arises in physics in e.g. the theory of tops.

Keywords

Cite

@article{arxiv.2407.01827,
  title  = {Cubic equations with 2 Roots in the interval $[-1, 1]$},
  author = {Helmut Ruhland},
  journal= {arXiv preprint arXiv:2407.01827},
  year   = {2025}
}

Comments

10 pages, DOI added

R2 v1 2026-06-28T17:25:48.556Z