2x2+2xy+y2-2x+1=0,求X,Y的值

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2x2+2xy+y2-2x+1=0,求X,Y的值
2x2+2xy+y2-2x+1=0,求X,Y的值

2x2+2xy+y2-2x+1=0,求X,Y的值
可以化成:x2+x2+2xy+y2-2x+1=0,即(x+y)2+(x-1)2=0,所以x=1,y=-1