Question

Tìm x sao cho ( 5/2 |1/2x - 2/3|=1/10)

Answer 1

\(\frac{5}{2}\). |\(\frac{1}{2}\)x - \(\frac{2}{3}\)| = \(\frac{1}{10}\)

<=> | \(\frac{1}{2}\)x - \(\frac{2}{3}\)| = \(\frac{1}{10}\):\(\frac{5}{2}\)

<=> | \(\frac{1}{2}\)x - \(\frac{2}{3}\)| = ​\(\frac{1}{10}\) . \(\frac{2}{5}\)

<=> | \(\frac{1}{2}\)x - \(\frac{2}{3}\)| = \(\frac{1}{25}\)

<=> \(\left[{}\begin{matrix}\frac{1}{2}x:\frac{2}{3}=\frac{1}{25}\\\frac{1}{2}x:\frac{2}{3}=\frac{-1}{25}\end{matrix}\right.\)

<=>​\(\left[{}\begin{matrix}\frac{1}{2}x=\frac{1}{25}.\frac{1}{3}\\\frac{1}{2}x=\frac{-1}{25}.\frac{1}{3}\end{matrix}\right.\)​

<=> \(\left[{}\begin{matrix}\frac{1}{2}x=\frac{1}{75}\\\frac{1}{2}x=\frac{-1}{75}\end{matrix}\right.\)

<=> \(\left[{}\begin{matrix}x=\frac{1}{75}:\frac{1}{2}\\x=\frac{-1}{75}:\frac{1}{2}\end{matrix}\right.\)

<=> \(\left[{}\begin{matrix}x=\frac{2}{75}\\x=\frac{-2}{75}\end{matrix}\right.\)

Vậy x₁ = \(\frac{2}{75}\) và x₂ = \(\frac{-2}{75}\)