x^2*y^2-xy+1/4=0,x+y=3/2 则(x-1)(y-1)=

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x^2*y^2-xy+1/4=0,x+y=3/2 则(x-1)(y-1)=
x^2*y^2-xy+1/4=0,x+y=3/2 则(x-1)(y-1)=

x^2*y^2-xy+1/4=0,x+y=3/2 则(x-1)(y-1)=
x^2*y^2-xy+1/4=0
(xy-1/2)²=0
xy=1/2
(x-1)(y-1)=xy-(x+y)+1=1/2-3/2+1=0