Question

|x-\(\frac{7}{2}\)|=\(\left(\frac{2}{5}\right)^{2019}\):\(\left(\frac{2}{5}\right)^{2018}\)

Answer 1

|x - \(\frac{7}{2}\)|=\(\left(\frac{2}{5}\right)^{2019}\):\(\left(\frac{2}{5}\right)^{2018}\)

\(\Leftrightarrow\)|x - \(\frac{7}{2}\)|=\(\frac{2}{5}\)

\(\Leftrightarrow\)\(\left[{}\begin{matrix}x-\frac{7}{2}=\frac{2}{5}\\x-\frac{-7}{2}=\frac{2}{5}\end{matrix}\right.\)

\(\Leftrightarrow\)\(\left[{}\begin{matrix}x=\frac{2}{5}+\frac{7}{2}\\x=\frac{-2}{5}+\frac{7}{2}\end{matrix}\right.\)

\(\Leftrightarrow\)\(\left[{}\begin{matrix}x=\frac{39}{10}\\x=\frac{31}{19}\end{matrix}\right.\)