Đáp án:

Giải thích các bước giải:

 `a)(x-2)^2=1`

`=>(x-2)^2=1^2`

`=>` \(\left[ \begin{array}{l}x-2=1\\x-2=-1\end{array} \right.\) 

`=>`\(\left[ \begin{array}{l}x=3\\x=1\end{array} \right.\) 

` Vậy x in {3;1}`

`b)(x-1)^5=-32`

`(x-1)^5=(-2)^5`

`=>x+1=-2`

`=>x=-1`

` Vậy x=-1`

`c)(4x-3)^3=8/125`

`(4x-3)^3=(2/5)^3`

`=>4x-3=2/5`

`4x=2/5+3`

`4x=17/5`

`=>x=17/5:4`

`=>x=17/20`

` Vậy x=17/20`

`d)(5x+1)^2=36/49`

`(5x+1)^2=(6/7)^2`

`=>`\(\left[ \begin{array}{l}5x+1=-6/7\\5x+1=6/7\end{array} \right.\) 

`=>`\(\left[ \begin{array}{l}5x=-13/7\\5x=-1/7\end{array} \right.\) 

`=>`\(\left[ \begin{array}{l}x=-13/35\\x=-1/35\end{array} \right.\) 

` Vậy x in {-13/35;-1/35}`

`e)(x-2/9)^3=(2/3)^6`

`(x-2/9)^3=[(2/3)^2]^3`

`=>x-2/9=(2/3)^2`

`=>x-2/9=4/9`

`=>x=4/9+2/9`

`=>x=2/3`

` Vậy x=2/3`

` Ngochoa#~~`