Integral Solutions of the Homogeneous Biquadratic Diophantine Equations with Five Unknowns (X2 - Y2) (3X2 + 3Y2 ?2XY) = 12(Z2 ?W2)T2
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 3)Publication Date: 2015-03-05
Authors : P. Jayakumar; G. Shankarakalidoss;
Page : 40-42
Keywords : Homogeneous biquadratic; integral solutions; special numbers;
Abstract
Four different patterns are used to find non-zero distinct integral solutions for the homogeneous biquadratic Diophantine equations (X2 - Y2) (3X2 + 3Y2 2XY) = 12 (Z2 W2) T2. Different types of properties are exposed in every pattern with polygonal, nasty, square and cubic numbers.
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