
数学题:先化简,再求值:(10财富值!)(x+1/x2-x - x/x2-2x+1)/(x/x-1 - 1),其中x满足x2-x-3=0.
展开全部
x²-x-3=0则x²-x=3
原式=[(x+1)/x(x-1)-x/(x-1)²]÷(x-x+1)/(x-1)
=(x²-1-x²)/x(x-1)²÷1/(x-1)
=-1/x(x-1)²*(x-1)
=-1/(x²-x)
=-1/3
原式=[(x+1)/x(x-1)-x/(x-1)²]÷(x-x+1)/(x-1)
=(x²-1-x²)/x(x-1)²÷1/(x-1)
=-1/x(x-1)²*(x-1)
=-1/(x²-x)
=-1/3
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