已知x²-2xy+y²-x+y-1=0,求x-y的值

已知x²-2xy+y²-x+y-1=0,求x-y的值
已知x²-2xy+y²-x+y-1=0,求x-y的值

已知x²-2xy+y²-x+y-1=0,求x-y的值
已知x²-2xy+y²-x+y-1=0,求x-y的值
（x-y）²-(x-y)-1=0;
[(x-y)²-(x-y)+1/4]=1+1/4;
(x-y-1/2)²=5/4;
x-y-1/2=±√5/2;
x-y=1/2±√5/2;
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[-1+根5】/2 【-1-根5]/2