On the non-homogeneous sextic equation with three unknowns 3(x2 + y2) - 5xy =36z6
Abstract
The sextic non-homogeneous equation with four unknowns represented by the Diophantine equation 3(x2+y2)-5xy=36z6
is analyzed for its patterns of non-zero distinct integral solutions are illustrated. Various interesting relations between the solutions and special numbers, namely polygonal numbers, Pyramidal numbers, Jacobsthal numbers, Jacobsthal-Lucas number are exhibited.
How to Cite This Article
J Shanthi, V. Anbuvalli, S Vidhayalakshmi, MA Gopalan (2023). On the non-homogeneous sextic equation with three unknowns 3(x2 + y2) - 5xy =36z6 . International Journal of Multidisciplinary Research and Growth Evaluation (IJMRGE), 4(3), 44-47.