Question

\(\frac{3}{4}\): / 3x - \(\frac{5}{8}\)/=\(\frac{1}{16}\)tìm x  ( /.../ là giá trị tuyệt đối nhé )

Answer 1

\(\frac{3}{4}:|3x-\frac{5}{8}|=\frac{1}{16}\)

\(\Rightarrow|3x-\frac{5}{8}|=\frac{3}{4}:\frac{1}{16}=12\)

\(\Rightarrow\hept{\begin{cases}3x-\frac{5}{8}=12\\3x-\frac{5}{8}=-12\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}3x=12+\frac{5}{8}=\frac{101}{8}\\3x=-12+\frac{5}{8}=-\frac{91}{8}\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x=\frac{101}{8}:3\\x=-\frac{91}{8}:3\end{cases}}\)

\(\Rightarrow\hept{\begin{cases}x=\frac{101}{24}\\x=-\frac{91}{24}\end{cases}}\)