2x^2+2xy+y^2-2x+1=0,求xy

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2x^2+2xy+y^2-2x+1=0,求xy
2x^2+2xy+y^2-2x+1=0,求xy

2x^2+2xy+y^2-2x+1=0,求xy
2x^2+2xy+y^2-2x+1=0
所以x^2+2xy+y^2+x^2-2x+1=0
所以(x+y)^2+(x-1)^2=0
所以x+y=0,x-1=0
所以x=1,y=-1
所以xy=-1

2x^2+2xy+y^2-2x+1=0
=x^2+2xy+y^2+x^2-2x+1=0
=(x+y)^2+(x-1)^2=0
所以x=1,y=-1
xy=-1