1樓:丶丨鑫
x/(x²-2x+1)÷[(x+1)/(x²-1)+1]=x/(x-1)²÷[(x+1)+(x²-1)]/(x²-1)=x/(x-1)²÷(x²+x)/[(x+1)(x-1)]=x/(x-1)²÷[x(x+1)]/[(x+1)(x-1)]=x/(x-1)²÷x/(x-1)
=x/(x-1)²·(x-1)/x
=1/(x-1)
=1/√2
=√2/2
2樓:我不是他舅
原式=x/(x-1)²÷(x+1+x²-1)/(x²-1)=x/(x-1)²*(x²-1)/(x+x²)=x/(x-1)²*(x+1)(x-1)/x(x+1)=x/(x-1)²*(x-1)/x
=1/(x-1)
=1/(√2+1-1)
=√2/2
3樓:匿名使用者
x/x平方-2x+1÷,
=x/(x-1)平方 ÷
=x/(x-1)平方 ÷x/(x-1)
=x/(x-1)平方 ×(x-1)/x
=1/(x-1)
x=根號2+1
所以原式=1/(√2+1-1)=1/√2=√2/2
先化簡,再求值:(1)(x+1/x²-x-x/x²-2x+1)÷1/x,x=根號2+1 急!!!!!!!!!!!!!
先化簡,再求值:{x-[x/(x+1)]}除以{1+[1/(x^2-1)]},其中x=根號2+1
4樓:匿名使用者
除以=【(x²+x-x)/(x+1)】/[(x²-1+1)/(x+1)(x-1)]
=【x²/(x+1)】/[(x²)/(x+1)(x-1)]=x-1
=根號2+1-1
=根號2
5樓:匿名使用者
÷=÷=÷=÷
=x^2/(x+1)÷
=x^2/(x+1)*(x^2-1)/x^2=(x^2-1)/(x+1)
=(x-1)(x+1)/(x+1)
=x-1
=√2+1-1
= √2
6樓:匿名使用者
解:原式=x(1-1/(x+1))/(x^2/(x^2-1))=(x/(x+1))/(x/[(x+1)(x-1)])=x-1
當x=1+√2時,原式=1+√2-1=√2
7樓:藍雨竹然
除以原式=[x^2+x-x/(x+1)]除以[x^2-1+1/(x^2-1)]
=[x^2/(x+1)]除以[x^2/(x^2-1)] (約分)
=1/(x-1)
代入x=得
原式=1/(根號2+1-1)
=1/根號2
=根號2/2
先化簡,再求值:1-(x-1/1-x)^2÷x^2-x+1/x^2-2x+1,其中x^2-x+5=0
8樓:匿名使用者
1-(x-1/1-x)^2÷x^2-x+1/x^2-2x+1,其中x^2-x+5=0
=1-(x-x²-1)²/(1-x)²÷(x²-x+1)/(x-1)²
=1-(x²-x+1)²/(x²-x+1)=1-x²+x-1
=-(x²-x)
=-(-5)=5
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