a) \(\Leftrightarrow\left(x-1\right)^2=36\\ \Leftrightarrow\left[{}\begin{matrix}x-1=6\\x-1=-6\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=7\\x=-5\end{matrix}\right.\)
b) \(\Leftrightarrow2^{3x+2}=2^{4x-20}\\ \Leftrightarrow3x+2=4x-20\\ \Leftrightarrow4x-20-3x-2=0\\ \Leftrightarrow x-22=0\\ \Leftrightarrow x=22\)
\(a,\Leftrightarrow\left(x-1\right)^2=16\left(x\ne1\right)\\ \Leftrightarrow\left[{}\begin{matrix}x-1=4\\1-x=4\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=-3\end{matrix}\right.\\ b,\Leftrightarrow2^{3x+2}=2^{4x-20}\\ \Leftrightarrow3x+2=4x-20\\ \Leftrightarrow x=22\)
