Ta có: |2x-3|-x=|2-x|
\(\Rightarrow\hept{\begin{cases}\left|2x-3\right|-x=2-x\\\left|2x-3\right|-x=x-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}\left|2x-3\right|=2\\\left|2x-3\right|=2x-2\end{cases}}\)
\(TH1:\left|2x-3\right|=2\)
\(\Rightarrow\orbr{\begin{cases}2x-3=2\\2x-3=-2\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x=5\\2x=1\end{cases}\Rightarrow\orbr{\begin{cases}x=2,5\\x=0,5\end{cases}}}\)
\(TH2:\left|2x-3\right|=2x-2\)
\(\Rightarrow\orbr{\begin{cases}2x-3=2x-2\\2x-3=2-2x\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}0x=1\left(Voli\right)\\4x=5\end{cases}}\)\(\Rightarrow x=1,25\)
Vậy x thuộc {0,5;1,25;2,5}.
ban oi 2 cai 1,25 voi 2,5 thay vao ko dung
