Integral Solutions of the Homogeneous Biquadratic Diophantine Equation with 6 Unknowns(x)^3-y^3)Z=(W^2-P^2)R^2
Journal: International Journal of Science and Research (IJSR) (Vol.3, No. 12)Publication Date: 2014-12-05
Authors : P. Jayakumar; K. Sangeetha;
Page : 1021-1023
Keywords : Biquadratic equation with 6 unknowns; Homogeneous Biquadratic equation; integral solutions; Special numbers; A few interesting relations;
Abstract
The homogeneous biquadratic equation with 6 unknowns represented by (x^3-y^3) Z= (W^2-P^2) R^2 is analyzed for its non - zero distinct integer solutions. Employing the transformations and applying the method of factorization, five different patterns of non-zero distinct integer solutions to the above biquadratic equation are obtained. A few interesting relations between the solutions and special numbers namely Polygonal numbers and Pyramidal numbers are presented.
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