isi-entrance 2018 Q17

isi-entrance · India · UGA Number Theory Quadratic Diophantine Equations and Perfect Squares

The number of pairs of integers $( x , y )$ satisfying the equation $x y ( x + y + 1 ) = 5 ^ { 2018 } + 1$ is:
(A) 0
(B) 2
(C) 1009
(D) 2018.

The number of pairs of integers $( x , y )$ satisfying the equation $x y ( x + y + 1 ) = 5 ^ { 2018 } + 1$ is:\\
(A) 0\\
(B) 2\\
(C) 1009\\
(D) 2018.