1

Part of 2006 Singapore Junior Math Olympiad

Problems(1)

x+y=x^2-xy+y^2 diophantine

Source: Singapore Junior Math Olympiad 2006 2nd Round p1 SMO

Find all integers

x,y

that satisfy the equation

x+y=x^2-xy+y^2

diophantineDiophantine equationnumber theory