Integral Solutions of the Homogeneous Biquadratic Diophantine Equation with 6 Unknowns(x)^3-y^3)Z=(W^2-P^2)R^2

Dr. P. Jayakumar, K. Sangeetha

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.

Keywords: Biquadratic equation with 6 unknowns, Homogeneous Biquadratic equation, integral solutions, Special numbers, A few interesting relations

How to Cite?: Dr. P. Jayakumar, K. Sangeetha, "Integral Solutions of the Homogeneous Biquadratic Diophantine Equation with 6 Unknowns(x)^3-y^3)Z=(W^2-P^2)R^2", Volume 3 Issue 12, December 2014, International Journal of Science and Research (IJSR), Pages: 1021-1023, https://www.ijsr.net/getabstract.php?paperid=SUB14540, DOI: https://dx.doi.org/10.21275/SUB14540