A Classroom Note on: Bounds on Integer Solutions of xy = k(x + y) and xyz = k(xy + xz + yz)

Autor/inn/en	Umar, Abdullahi; Alassar, Rajai
Titel	A Classroom Note on: Bounds on Integer Solutions of xy = k(x + y) and xyz = k(xy + xz + yz)
Quelle	In: Mathematics and Computer Education, 45 (2011) 2, S.141-147 (7 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0730-8639
Schlagwörter	Equations (Mathematics); Mathematics Instruction; Clubs; Problem Solving; College Mathematics + Suchen Sie Ihr Suchwort? Equations; Mathematics; Gleichungslehre; Mathematics lessons; Mathematikunterricht; Club; Klub; Problemlösen
Abstract	Diophantine equations constitute a rich mathematical field. This article may be useful as a basis for a student math club project. There are several situations in which one needs to find a solution of indeterminate polynomial equations that allow the variables to be integers only. These indeterminate equations are fewer than the involved unknown variables. Such problems are special cases of the general class of problems known as Diophantine equations. These equations are interesting because they are usually connected to some mathematical object of interest, such as the classical example when the lengths of the sides of a box are required to be integers and the surface area to be equal to its volume. In this article, the authors discuss the more general problems xy = k(x + y) and xyz = k(xy + xz + yz) in which x, y, z, and k are positive integers. (Contains 1 figure and 3 tables.) (ERIC).
Anmerkungen	MATYC Journal Inc. Mathematics and Computer Education, P.O. Box 158, Old Bethpage, NY 11804. Tel: 516-822-5475; e-mail: macej@optonline.net Web site: http://www.macejournal.org
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10