化简求值:X2/X2-1÷(1-2X/X-1-X+1)其中X满足X2+7X=0

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化简求值:X2/X2-1÷(1-2X/X-1-X+1)其中X满足X2+7X=0

化简求值:X2/X2-1÷(1-2X/X-1-X+1)其中X满足X2+7X=0
化简求值:X2/X2-1÷(1-2X/X-1-X+1)其中X满足X2+7X=0

化简求值:X2/X2-1÷(1-2X/X-1-X+1)其中X满足X2+7X=0
X2/X2-1÷(1-2X/X-1-X+1)
=X^2/(x^2-1)÷[(1-2x)/(x-1)-(x-1)]
=x^2/(x^2-1)÷[(1-2x-(x^2-2x+1)/(x-1)]
=x^2/(x+1)(x-1)*(x-1)/(-x^2)
=-1/(x+1)
x^2+7x=0
x(x+7)=0
x1=0,则原式=-1/(0+1)=-1
X2=-7,则原式=-1/(-7+1)=1/6