$\left\{\begin{matrix}a=\left(x-1\right)^{-\frac{1}{2}}b\text{, }&x\neq 1\\a\in \mathrm{C}\text{, }&b=0\text{ and }x=1\end{matrix}\right.$

$\left\{\begin{matrix}a=\frac{b}{\sqrt{x-1}}\text{, }&x>1\\a\in \mathrm{R}\text{, }&x=1\text{ and }b=0\end{matrix}\right.$

$b=\sqrt{x-1}a$

$b=\sqrt{x-1}a$
$x\geq 1$