先化簡,再求值 x x 2x 1x 1 x 1) 1,其中x根號

時間 2021-09-13 02:33:05

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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