Observations on the Bi-quadratic Equation xy+(k2+1)z2=5w4

M. A. Gopalan; B. Sivakam

doi:https://doi.org/10.14445/22315373/IJMTT-V15P503

International Journal of Mathematics Trends and Technology

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Volume 15 | Number 1 | Year 2014 | Article Id. IJMTT-V15P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V15P503

Observations on the Bi-quadratic Equation xy+(k2+1)z2=5w4

M. A. Gopalan, B. Sivakam

Abstract

Three different patterns of non-zero integral solutions to the bi-quadratic equation with four unknowns given by xy+(k²+1)z²=5w⁴are obtained. A few interesting relations between the solutions and special polygonal numbers are exhibited.

Keywords

Bi-quadratic equation with four unknowns, Integral solutions. Special polygonal numbers.

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Citation :

M. A. Gopalan, B. Sivakam, "Observations on the Bi-quadratic Equation xy+(k2+1)z2=5w4," International Journal of Mathematics Trends and Technology (IJMTT), vol. 15, no. 1, pp. 21-24, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V15P503