Abstract

Abstract: The non-homogenous cubic equation with three unknowns represented by the Diophantine equation ૜(࢞ ࢟ + ૛ ૛ ) − ࢠ૛૛૞ = (૚ + ࢟ + ࢞)૛ + (࢟࢞)૝ ૜ is analyzed for its patterns of stringfy integral solutions. A few interesting properties among the solutions and some special polygonal numbers are presented.

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