Turkish NMO First Round - 2012 Problem - 30 {Number Theory}
Source:
July 1, 2012
Problem Statement
How many integer triples (x,y,z) are there satisfying x3+y3=x2yz+xy2z+2 ?<spanclass=′latex−bold′>(A)</span>5<spanclass=′latex−bold′>(B)</span>4<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>2<spanclass=′latex−bold′>(E)</span>1