paper

Cubic equations with 2 Roots in the interval

arXiv:2407.01827 · doi:10.32603/2071-2340-2024-2-30-38

Abstract

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

10 pages, DOI added

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