5/8 + 0,2 : |-x/4 + 2/5| = 3/2
0,2 : |-x/4 + 2/5| = 3/2 - 5/8
0,2 : |-x/4 + 2/5| = 7/8
|-x/4 + 2/5| = 7/8 . 0,2
|-x/4 + 2/5| = 7/40
\(\Rightarrow\orbr{\begin{cases}-\frac{x}{4}+\frac{2}{5}=\frac{7}{40}\\-\frac{x}{4}+\frac{2}{5}=-\frac{7}{40}\end{cases}\Rightarrow\orbr{\begin{cases}-\frac{x}{4}=-\frac{9}{40}\\-\frac{x}{4}=-\frac{23}{40}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{9}{10}\\x=\frac{23}{10}\end{cases}}}\)
Báo cáo sai phạm
5/8 + 0,2 : |-x/4 + 2/5| = 3/2
0,2 : |-x/4 + 2/5| = 3/2 - 5/8
0,2 : |-x/4 + 2/5| = 7/8
|-x/4 + 2/5| = 7/8 . 0,2
|-x/4 + 2/5| = 7/40
⇒[
| −x4 +25 =7/40 |
| −x4 +25 =−7/40 |
⇒[
| −x4 =−9/40 |
| −x4 =−23/40 |
⇒[
| x=9/10 |
| x=2/310 |
\(\frac{5}{8}+0,2:\left|\frac{-x}{4}+\frac{2}{5}\right|=\frac{3}{2}\)
\(\Leftrightarrow\frac{33}{40}:\left|\frac{-x}{4}+\frac{2}{5}\right|=\frac{3}{2}\)
\(\Leftrightarrow\left|\frac{-x}{4}+\frac{2}{5}\right|=\frac{33}{40}:\frac{3}{2}\)
\(\Leftrightarrow\left|\frac{-x}{4}+\frac{2}{5}\right|=\frac{11}{20}\)
\(\Leftrightarrow\hept{\begin{cases}\Leftrightarrow\frac{-x}{4}+\frac{2}{5}=-\frac{11}{20}\\\Leftrightarrow\frac{-x}{4}+\frac{2}{5}=\frac{11}{20}\end{cases}}\Leftrightarrow\hept{\begin{cases}-\frac{x}{4}=\frac{-19}{20}\\\frac{-x}{4}=\frac{3}{20}\end{cases}\Leftrightarrow}\hept{\begin{cases}-x=-3,8\\-x=0,6\end{cases}}\Leftrightarrow\hept{\begin{cases}x=3,8\\x=-0,6\end{cases}}\)
Vậy : \(x=3,8\) hoặc \(x=-0,6\)
\(=\frac{5}{8}+\frac{1}{5}:|\frac{-x}{4}+\frac{2}{5}|=\frac{3}{2}\)
\(=\frac{1}{5}:|\frac{-x}{4}+\frac{2}{5}|=\frac{3}{2}-\frac{5}{8}\)
\(=\frac{1}{5}:|\frac{-x}{4}+\frac{2}{5}|=\frac{5}{8}\)
\(=|\frac{-x}{4}+\frac{2}{5}|=\frac{5}{8}.\frac{1}{5}\)
\(=|\frac{-x}{4}+\frac{2}{5}|=\frac{1}{8}\)
\(\Leftrightarrow\frac{-x}{4}+\frac{2}{5}=\frac{1}{8}\) hoặc \(\frac{-x}{4}+\frac{2}{5}=\frac{-1}{8}\)
\(\frac{-x}{4}=\frac{1}{8}-\frac{2}{5}=\frac{-11}{40}\) \(\frac{-x}{4}=\frac{-1}{8}-\frac{2}{5}=\frac{-21}{40}\)
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