若√x-1-√1-x=(x+y)2先化简,再求值

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若√x-1-√1-x=(x+y)2先化简,再求值
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若√x-1-√1-x=(x+y)2先化简,再求值
若√x-1-√1-x=(x+y)2先化简,再求值

若√x-1-√1-x=(x+y)2先化简,再求值

原式
=1/2x-1/(x+y)[(x-y)(x+y)+(x+y)/2x]
=1/2x-(x-y)-1/(2x)
=-(x-y)
=y-x
√x-1-√1-x=(x+y)²
∵x-1≥0
1-x≥0
∴1≤x≤1
∴x=1,y=-1
∴原式=y-x=-1-1=-2