Peer reviewed
Direct linkERIC Number: EJ769611
Record Type: Journal
Publication Date: 2006
Pages: 7
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0730-8639
EISSN: N/A
The Diophantine Equation x[squared]+ky[squared]=z[squared] and Integral Triangles with a Cosine Value of 1 over n
Zelator, Konstantine
Mathematics and Computer Education, v30 n3 p191-197 Fall 2006
We sometimes teach our students a method of finding all integral triples that satisfy the Pythagorean Theorem x[squared]+y[squared]=z[squared]. These are called Pythagorean triples. In this paper, we show how to solve the equation x[squared]+ky[squared]=z[squared], where again, all variables are integers.
Descriptors: Mathematical Concepts, Equations (Mathematics), Problem Solving, Geometry, Geometric Concepts, Mathematics Instruction
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 Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
