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INTEGRAL SOLUTIONS OF THE HOMOGENEOUS BIQUADRATIC DIOPHANTINE EQUATIONS WITH FIVE UNKNOWNS 2(X2 - Y2) (2X2 + 2Y2 - 3XY) = 11(Z2 - W2)T2

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:
Homogeneous biquadratic, integral solutions, special numbers, 2010 Mathematics subject classification: 11D09

Abstract

Four different patterns are used to find non-zero distinct integral solutions for the homogeneous biquadratic Diophantine equations 2(X2 - Y2)(2X2 + 2Y2 –3XY) = 11(Z2 –W2)T2. Different types of properties are exposed in every pattern with polygonal, nasty, square and cubic numbers.

Other Details
Paper ID: IJSRDV2I12399
Published in: Volume : 2, Issue : 12
Publication Date: 01/03/2015
Page(s): 722-724

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