a) \(\left|x-1,7\right|=2,3\)
\(\Rightarrow\left[{}\begin{matrix}x-1,7=2,3\\x-1,7=-2,3\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=4\\x=-0,6\end{matrix}\right.\)
b) \(\left|x+\dfrac{3}{4}\right|-\dfrac{1}{3}=0\)
\(\Rightarrow\left|x+\dfrac{3}{4}\right|=\dfrac{1}{3}\)
\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{3}{4}=\dfrac{1}{3}\\x+\dfrac{3}{4}=-\dfrac{1}{3}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{12}\\x=-\dfrac{13}{12}\end{matrix}\right.\)