Scholars Bulletin (SB)
Volume-1 | Issue-07 | 2015, 1(7): 177-182
Research Article
On The Homogeneous Biquadratic Equation with Four Unknowns x4 +y4+z4=32w4
M.A. Gopalan, S.Vidhyalakshmi, N. Thiruniraiselvi
Published : Oct. 30, 2015
Abstract
Abstract: The bi-quadratic equation with 4 unknowns given by x4 +y4+z4=32w4 is analyzed for its patterns of non-zero distinct integral solutions. Six different patterns of integer solutions to the above bi-quadratic equation are presented. A few interesting relations between the solutions and special numbers, namely, polygonal number and pyramidal number are exhibited.
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