x 2x 2 2x 1x 2x 2 1x 1),其中x(根號

2021-03-11 13:08:13 字數 2115 閱讀 6087

1樓:匿名使用者

1/(baix+2)du-(x^2+2x+1)/(zhix-2)÷(daox^2-1)/(x-1),其中x=(根號

回2)-2

=1/(x+2)-(x+1)^2/(x-2) *(x-1)/(x-1)(x+1)

=1/(x+2)-(x+1)/(x-2)

=1/(x+2)-(x+1)/(x-2)

=[(x-2-(x+2)(x+1)]/[(x+2)(答x-2)]

=(x-2-x^2-3x-2)/[(x+2)(x-2)]=-(x^2+2x+4)/[(x+2)(x-2)]=-[(√2-2)^2+2(√2-2)+4]/[((√2-2)+2)((√2-2)-2)]

=-[2-4√2+4+2√2-4+4]/[(√2)(√2-4)]=-[6-2√2]/[(√2)(√2-4)]=-[3√2-2]/[(√2-4)]

=-[(3√2-2)(√2+4)]/[(√2+4)(√2-4)]=-[(6+12√2-2√2-8)]/[(2-16)]=-[(-2+10√2)]/[(-14)]=(-1+5√2)/7

2樓:匿名使用者

(4 + 2 x + x^2)/(4 - x^2)

=(3 - sqrt[2])/(-1 + 2 sqrt[2])

3樓:匿名使用者

^解:制1/(x+2)-(x^2+2x+1)/(x-2)÷(x^2-1)/(x-1)

=1/(x+2)-(x+1)²/(x-2) *(x-1)/[(x+1)(x-1)]

=1/(x+2)-(x+1)/(x-2)

=(1-x-1)/(x-2)

=-x/(x-2)

當x=√

2-2時,

原式=-(√2-2)/(√2-2-2)

=(2-√2)(√2+4)/[(√2+4)(√2-4)]=(√2+8-2-4√2)/(2-16)

=(3√2-6)/14

先化簡再求值:(1-1/x)/(x^2-2x+1)/(x^2-1),其中x=根號2

4樓:匿名使用者

^(1-1/x)/(x^dao2-2x+1)/(x^2-1)=[(x-1)/x]/[(x+1)(x+1)]/[(x+1)(x-1)]

=[(x-1)/x]/[(x+1)/(x-1)]=1/x/[(x+1)

=1/[x(x+1)]

=1/(2+根號

專屬2)

=(2-根號2)/[(2+根號2)(2-根號2)]=(2-根號2)/2

先化簡,再求值:(x-1/x)-(x-2/x+1)除以2x^2-x/x^2+2x+1,其中x滿足x^2-x-1=0。

5樓:匿名使用者

[(x-1)/x-(x-2)/(x+1)]÷[(2x^zhi2-x)/(x^2+2x+1)]

=[(x-1)(x+1)/x(x+1)-x(x-2)/x(x+1)]÷[x(2x-1)/(x+1)²]

=×dao[(x+1)²/x(2x-1)]=[(2x-1)(x+1)]/[x²(2x-1)]=(x+1)/x²

=1上式最後一步利

回用條答件:x^2-x-1=0

可化為:x^2=x+1

先化簡,再求值。(1/x+1+x^2-2x+1/x^2-1)÷x-1/x+1,其中x=2

6樓:匿名使用者

^先化簡,再求值。

(1/x+1+x^2-2x+1/x^2-1)÷x-1/x+1,其中x=2

解,得:

==(1/x+1+x^2-2x+1/x^2-1)*(x+1)/(x-1)

==1/(x+1)*(x+1)/(x-1)+x(x-2)(x+1)/(x-1)

==(x-1)+x(x-2)(x+1)/(x-1)==[(x-1)^2+x(x-2)(x+1)]/(x-1)把x==2帶入式子得

1+0/1==1

7樓:匿名使用者

^原式=[(x-1)^2-1+1/x+1/x^2]/x-1/x+1=[1-1+1/x+1/x^2]/x-1/x+1=1/x^3+1/x^2+1/x+1-2/x=(1/x+1)^3-2/x

=27/8-1

=19/8

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