Research Article
DOI:
xxx-xxxx-xxx
Subject:
science
KeyWords:
Integral solutions, heptic, nonhomogeneous equation.
Abstract:
The non-homogeneous Diophantine equation of degree seven with five unknowns represented by 3 - 3 - ( 2 + 2) + 3 - 3 = 2 + 15 7 is analyzed for its non-zero distinct integer solutions. A few interesting relation between the solutions and special numbers namely Polygonal numbers, Pyramidal numbers, centered Polygonal numbers are exhibited.