Solve for b
\left\{\begin{matrix}b\neq 0\text{, }&a=0\\b\neq 2\text{, }&a=1\\b\in \mathrm{R}\text{, }&a>0\text{ and }a<1\\b\in \left(2\left(\sqrt{a\left(a-1\right)}+a\right),\infty\right)\cup \left(-\infty,2\left(-\sqrt{a\left(a-1\right)}+a\right)\right)\text{, }&a<0\text{ or }a>1\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a>-\frac{b^{2}}{4\left(1-b\right)}\text{, }&b<1\\a\in \mathrm{R}\text{, }&b=1\\a<-\frac{b^{2}}{4\left(1-b\right)}\text{, }&b>1\end{matrix}\right.
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