The Diophantine Equations 2x + 11y = z 2 and 19x + 29y = z 2 are Insolvable in Positive Integers x, y, z

Abstract

In this article, the author has investigated the equations 2x + 11y = z 2 and 19x + 29y = z 2 with positive integers x, y, z. It was established that both equations have no solutions.