=>(2x-1)^2=24^2
=>2x-1=24 hoặc 2x-1=-24
=>x=-23/2 hoặc x=25/2
\(\dfrac{2x-1}{-12}=\dfrac{48}{1-2x}\) (ĐK: \(x\ne\dfrac{1}{2}\))
\(\Leftrightarrow\dfrac{2x-1}{12}=\dfrac{48}{2x-1}\)
\(\Leftrightarrow-12\cdot48=\left(2x-1\right)\left(2x-1\right)\)
\(\Leftrightarrow567=\left(2x-1\right)^2\)
\(\Leftrightarrow24^2=\left(2x-1\right)^2\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=-24\\2x-1=24\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=-23\\2x=25\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{23}{2}\left(tm\right)\\x=\dfrac{25}{2}\left(tm\right)\end{matrix}\right.\)
