Question

Tìm x biết :

f) |3/2 .x +1/2 | =|4x-1|

Answer 1

\(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)\(\Leftrightarrow\left[{}\begin{matrix}\frac{3}{2}x+\frac{1}{2}=4x-1\\\frac{3}{2}x+\frac{1}{2}=1-4x\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}\frac{5}{2}x=\frac{3}{2}\\\frac{5}{2}x=\frac{1}{2}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{3}{5}\\x=\frac{2}{5}\end{matrix}\right.\)

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