A polynomial problem

Authors

  • Pavel Todorov

Keywords:

a check of the roots of the resolvent equation in the given equation, common roots, determinants, Sylvester method of elimination, two polynomial equations in two variables

Abstract

We show that the roots of the equation (5) with respect to $z$ are among the roots of the equation (6). Therefore the roots of the given equation (5) are determined by means of a check of the roots of the resolvent equation (6). Some examples and applications are given.

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Published

1999-12-12

Issue

Vol. 91 (1999): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

A polynomial problem. (1999). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 91, 21-32. https://annual.uni-sofia.bg/index.php/fmi/article/view/266