a/ \(x\ge3\)
\(2x-3=\left(x-3\right)^2\)
\(\Leftrightarrow x^2-8x+12=0\Rightarrow\left[{}\begin{matrix}x=6\\x=2\left(l\right)\end{matrix}\right.\)
b/ \(x\le8\)
\(x^2+x-12=\left(8-x\right)^2\)
\(\Leftrightarrow17x=76\Rightarrow x=\frac{76}{17}\)
c/ \(x\le2\)
\(x^2+2x+4=2-x\)
\(\Leftrightarrow x^2+3x+2=0\Rightarrow\left[{}\begin{matrix}x=-1\\x=-2\end{matrix}\right.\)
d/ \(x\ge3\)
\(x^2-3x=2x-1\)
\(\Leftrightarrow x^2-5x+1=0\Rightarrow\left[{}\begin{matrix}x=\frac{5+\sqrt{21}}{2}\\x=\frac{5-\sqrt{21}}{2}\left(l\right)\end{matrix}\right.\)
