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Scholars Journal of Physics, Mathematics and Statistics | Volume-1 | Issue-02
On the Integral Points of the Bi-Quadratic Equation with Four Unknowns � − � �� + �� + �� − �� + �� � = �����
S. Vidhyalakshmi , A. Kavitha, M.A. Gopalan
Published: Sept. 17, 2014 |
88
78
DOI: 10.36347/sjpms
Pages: 45-47
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Abstract
The Bi-quadratic Equation with four unknowns given by � − � �2 + �2 + �2 − �� + �2 � = 12��3 is
analyzed for its patterns of non –zero distinct integral solutions. A few interesting relations between the solutions and
special polygonal numbers are exhibited.
Keywords: Bi-Quadratic equation, Integral solutions, Special polygonal numbers, Pyramidal numbers