Despre soluțiile unor ecuații diofantice neliniare

Abstract

In this paper, it is show that the Diophantine exponential equation:2x +12y=z2 has exactly three non – negative integer solutions {(3,0,3),(2,1,4),(8,2,20)}, the Diophantine exponential equation: 2x +14y=z2 has exactly three non–negative integer solutions: {(3,0,3), (1,1,4),(7,2,18)}, the Diophantine exponential equation: 2x +15y=z2 has exactly two non–negative integer solutions: {(3,0,3), (6,2,17)}.