Question

Tìm x, biết

5) \(\text{ |}x-\dfrac{2}{5}\text{ |}-\dfrac{1}{2}=\dfrac{1}{3}.\dfrac{1}{4}-\dfrac{1}{5}\)

Answer 1

\(\left|x-\dfrac{2}{5}\right|-\dfrac{1}{2}=\dfrac{1}{3}.\dfrac{1}{4}-\dfrac{1}{5}\)

\(\Rightarrow\left|x-\dfrac{2}{5}\right|-\dfrac{1}{2}=\dfrac{-7}{60}\)

\(\Rightarrow\left|x-\dfrac{2}{5}\right|=\dfrac{23}{60}\)

\(\Rightarrow x-\dfrac{2}{5}=\dfrac{23}{60}\) hoặc \(x-\dfrac{2}{5}=\dfrac{-23}{60}\)

\(\Rightarrow x=\dfrac{47}{60}\) hoặc \(x=\dfrac{1}{60}\)

Vậy \(x\in\left\{\dfrac{47}{60};\dfrac{1}{60}\right\}\)