A polynomial problem

TitleA polynomial problem
Publication TypeJournal Article
Year of Publication1999
AuthorsTodorov P
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume91
IssueLivre 1 - Mathématiques et Mecanique
Pagination21-32
ISSN0205-0808
Keywordsa 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.

1991/95 MSC

11C20, 12D10, 30C15

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