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Research Paper | Mathematics | India | Volume 3 Issue 12, December 2014
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 [14] | K. Sangeetha [4]
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
Edition: Volume 3 Issue 12, December 2014,
Pages: 1021 - 1023
Similar Articles with Keyword 'Homogeneous Biquadratic equation'
Downloads: 113
Research Paper, Mathematics, India, Volume 5 Issue 3, March 2016
Pages: 1863 - 1866On The Homogeneous Biquadratic Equation With 5 Unknowns: x4-y4=65 (z2-w2) R2
Dr. P. Jayakumar [14] | R. Venkatraman [6]
Downloads: 134
Research Paper, Mathematics, India, Volume 4 Issue 12, December 2015
Pages: 656 - 658On The Homogeneous Biquadratic Equation with 5 Unknowns
Dr. P. Jayakumar [14] | J. Meena [4]