On the Diophantine Equations (n + 2)x - 2.n y = z 2 and (n + 2)x + 2.n y = z 2

Abstract

In this article, we solve the Diophantine equations (n + 2)x - 2.n y = z 2 and (n + 2)x + 2.n y = z 2 , where x, y, z are non-negative integers and n is a positive integer with n ≡ 2 or n ≡ 3 (mod 4).