Integer equation: (x-1)x(x+1) + (y-1)y(y+1) = 24 - 9xy
Source: Austrian Regional Competition for Advanced Students 2012, #2
May 23, 2012
number theory proposednumber theory
Problem Statement
Determine all integer solutions of the equation (x - 1)x(x + 1) + (y - 1)y(y + 1) = 24 - 9xy\mbox{.}