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EJ769610 - A Versatile Technique for Solving Quintic Equations

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ERIC #:EJ769610
Title:A Versatile Technique for Solving Quintic Equations
Authors:Kulkarni, Raghavendra G.
Descriptors:Equations (Mathematics); Algebra; Problem Solving; Mathematics Education
Source:Mathematics and Computer Education, v40 n3 p205-215 Fall 2006
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Help Peer-Reviewed: 		Yes
Publisher:MATYC Journal Inc. Mathematics and Computer Education, P.O. Box 158, Old Bethpage, NY 11804. Tel: 516-822-5475; Web site: http://www.macejournal.org
Publication Date:2006-00-00
Pages:11
Pub Types:Journal Articles; Reports - Descriptive
Abstract:In this paper we present a versatile technique to solve several types of solvable quintic equations. In the technique described here, the given quintic is first converted to a sextic equation by adding a root, and the resulting sextic equation is decomposed into two cubic polynomials as factors in a novel fashion. The resultant cubic equations are then solved to obtain five roots of the given quintic along with the added root. The technique can be applied to solve several types of solvable quintics, where the roots are related by simple algebraic expressions.
Abstractor:Author
Reference Count:5
Note:N/A
Identifiers:N/A
Record Type:Journal
Level:N/A
Institutions:N/A
Sponsors:N/A
ISBN:N/A
ISSN:ISSN-0730-8639
Audiences:N/A
Languages:English
Education Level:N/A
 
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