Question

tìm x :  |x+2/7|=1/6 (2 trường hợp)

giúp mình với mình cần gấp

Answer 1

\(\Leftrightarrow\orbr{\begin{cases}x+\frac{2}{7}=\frac{1}{6}\\x+\frac{2}{7}=\frac{-1}{6}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{-5}{42}\\x=\frac{-19}{42}\end{cases}}\)

Vậy ...

Answer 2

 Ta có: \(\left|x+\frac{2}{7}\right|=\frac{1}{6}\)

\(\Rightarrow\orbr{\begin{cases}x+\frac{2}{7}=\frac{1}{6}\\x+\frac{2}{7}=-\frac{1}{6}\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{6}-\frac{2}{7}=-\frac{5}{42}\\x=-\frac{1}{6}-\frac{2}{7}=-\frac{19}{42}\end{cases}}\)

Vậy \(x\in\left\{-\frac{5}{42};-\frac{19}{42}\right\}\)

~Study well~