`a)` $\sqrt[3]{3x-1}$`=2`
`<=> 3x-1=8`
`<=> 3x=9`
`<=> x=3`
`b)` $\sqrt[3]{x-2}$`+2=x`
`<=> `$\sqrt[3]{x-2}$`=x-2`
`<=> (x-2)[1-(x-2)^2]=0`
`<=> (x-2)(1-x+2)(1+x-2)=0`
`<=> (x-2)(-x+3)(x-1)=0`
`<=>`\(\left[ \begin{array}{l}x-2=0\\-x+3=0\\x-1=0\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}x=2\\-x=-3\\x=1\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}x=2\\x=3\\x=1\end{array} \right.\)
