若实数x,y满足x√(1-x)=√(y-2)+√(1-x),则(3x^2+xy-y^2)/(x^2-xy+y^2)=?
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若实数x,y满足x√(1-x)=√(y-2)+√(1-x),则(3x^2+xy-y^2)/(x^2-xy+y^2)=?
若实数x,y满足x√(1-x)=√(y-2)+√(1-x),则(3x^2+xy-y^2)/(x^2-xy+y^2)=?
若实数x,y满足x√(1-x)=√(y-2)+√(1-x),则(3x^2+xy-y^2)/(x^2-xy+y^2)=?
解.x√(1-x)=√(y-2)+√(1-x)
即(x-1)√(1-x)=√(y-2)
即x-1≥0且1-x≥0
即x=1,则y=2
(3x^2+xy-y^2)/(x^2-xy+y^2)=(3+2-4)/(1-2+4)=1/3
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