Question

\(\left|x-\dfrac{1}{5}\right|-\dfrac{4}{7}=\dfrac{10}{7}\)

Answer 1

\(\left|x-\dfrac{1}{5}\right|-\dfrac{4}{7}=\dfrac{10}{7}\\ \Rightarrow\left|x-\dfrac{1}{5}\right|=\dfrac{10}{7}+\dfrac{4}{7}\\ \Rightarrow\left|x-\dfrac{1}{5}\right|=2\\ \Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{5}=2\\x-\dfrac{1}{5}=-2\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{11}{5}\\x=-\dfrac{9}{5}\end{matrix}\right.\)

Answer 2

|x-1/5|-4/7=10/7

=>|x-1/5|=10/7+4/7=14/7

=>x-1/5=14/7 hoặc x-1/5=-14/7

=>x=14/7+1/5 hoặc x=-14/7+1/5

=>x=11/5 hoặc x=-9/5

 

Answer 3

\(x=-\dfrac{9}{5}\) hoặc \(x=\dfrac{11}{5}\)