High Impact Factor : 4.396 icon | Submit Manuscript Online icon |

Integral Solutions of the Homogeneous Quintic Diophantine Equationy x5 - y5 - x2y2 (x-y) = 972 (x-y) (z+w)2p2

Author(s):

C. Saranya , ASSISTANT PROFESSOR, CAUVERY COLLEGE FOR WOMEN, TRICHY; G. Janaki, ASSISTANT PROFESSOR, CAUVERY COLLEGE FOR WOMEN, TRICHY

Keywords:

Integral Solutions, the Homogeneous Quintic Diophantine Equation

Abstract

The Homogeneous Quintic Diophantine equation with five unknowns represented by x5 –y5 - x2y2 (x-y) = 972 (x-y) (z+w)2p2 is analyzed for its non-zero distinct integer solutions. Different patterns of integral solutions satisfying the equation are obtained. A few interesting relations between the solutions and some special numbers are presented.

Other Details

Paper ID: IJSRDV5I70030
Published in: Volume : 5, Issue : 7
Publication Date: 01/10/2017
Page(s): 75-77

Article Preview

Download Article