原等式可化为:x²-2xy+y²+6(x-y)+9+y²=0即:(x-y)²+6(x-y)+9+y²=0(x-y+3)²+y²=0则有:x-y+3=0且y=0解得:y=0,x=y-3=-3
x^2-2xy+2y^2+6x-6y+9=(x-y+3)^2+y^2=0,——》x-y+3=0,y=0,——》x=-3,y=0。