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INTEGRAL POINTS ON THE HOMOGENOUS CONE x² + y² = 10z²

Author(s):

Dr.P.Jayakumar , AVVM SRI PUSHPAM COLLEGE , POONDI,THANJAVUR-DIST, TN; G.Shankarakalidoss, Kings College of Engineering, Punalkulam, Pudukkottai (Dist) -613303, Tamilnadu, India Kings College of Engineering, Punalkulam, Pudukkottai (Dist) -613303, Tamilnadu, India

Keywords:

homogenous quadratic, integer solutions, special number 2010 Mathematics Subject Classification: 11D09

Abstract

The ternary homogenous quadratic Diophantine equation given by x²+y² = 10z² is analyzed for finding its non-zero distinct integral solutions. Five different patterns of integer solutions are presented. A few interesting relations between the solutions and special number patterns are given.

Other Details

Paper ID: IJSRDV2I11159
Published in: Volume : 2, Issue : 11
Publication Date: 01/02/2015
Page(s): 234-235

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