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On the Non-Homogeneous Bi-Quadratic Equation with Four Unknowns 8xy + 5z 2=5w
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.10, No. 2)Publication Date: 2021-08-24
Authors : A. Vijayasankar Sharadha Kumar; M. A. Gopalan;
Page : 129-132
Keywords : Bi-Quadratic Equation with Four Unknowns; Integral Solutions; Non Homogeneous bi-Quadratic; Linear Transformations;
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Abstract
This paper concerns with the problem of determining non-trivial integral solutions of the non-homogeneous bi-quadratic equation with four unknowns given by 2 4 8xy 5z 5 w .We obtain infinitely many non-zero integer solutions of the equation by introducing the linear transformations x u v,y u v, z v .
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Last modified: 2022-07-30 16:18:15