1.已知:5x^2-4xy+y^2-2x+1=0,则(x-y)^2005+__________.

1.已知:5x^2-4xy+y^2-2x+1=0,则(x-y)^2005+__________.
1.已知:5x^2-4xy+y^2-2x+1=0,则(x-y)^2005+__________.

1.已知:5x^2-4xy+y^2-2x+1=0,则(x-y)^2005+__________.
（4x^2-4xy+y^2）+(x^2-2x+1)=0
=>(2x-y)^2+(x-1)^2=0
x=1
y=2
(x-y)^2005=-1

4x^2-4xy+y^2+x^2-2x+1=(2X-Y)^2+(X-1)^2=0
(2X-Y)^2=0 (X-1)^2=0
X=2Y X=1
带入 为-1