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Research Paper | Mathematics | India | Volume 4 Issue 12, December 2015 | Rating: 6.6 / 10
On The Homogeneous Biquadratic Equation with 5 Unknowns
Dr. P. Jayakumar [14] | J. Meena [4]
Abstract: The Homogenous biquadratic equation with five unknowns given by is considered and analyzed for finding its non zero distinct integral solutions. Introducing the linear transformations x = u + v, y = u v, z = 2uv +1, w =2uv-1 and employing the method of factorization different patterns of non zero distinct integer solutions of the equation under the above equation are obtained. A few interesting relations between the integral solutions and the special numbers namely Polygonal numbers, Star number, Pronic number and Gnomonic number are exhibited.
Keywords: Homogeneous equation, Integral solutions, Polygonal number and special number
Edition: Volume 4 Issue 12, December 2015,
Pages: 656 - 658