Solve for a
\left\{\begin{matrix}a=\frac{2x|x|+\sqrt{66\left(-13x|x|+792\right)}}{2\left(2x|x|-99\right)}\text{; }a=\frac{2x|x|-\sqrt{66\left(-13x|x|+792\right)}}{2\left(2x|x|-99\right)}\text{, }&x\neq \frac{3\sqrt{22}}{2}\text{ and }x\leq \frac{6\sqrt{286}}{13}\\a=\frac{19}{12}\approx 1.583333333\text{, }&x=\frac{3\sqrt{22}}{2}\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{264-198a^{2}}}{|2a-1|}\text{; }x=-\frac{\sqrt{198a^{2}-264}}{|2a-1|}\text{, }&|a|=\frac{2\sqrt{3}}{3}\\x=\frac{\sqrt{198a^{2}-264}}{|2a-1|}\text{, }&|a|\geq \frac{2\sqrt{3}}{3}\\x=-\frac{\sqrt{264-198a^{2}}}{|2a-1|}\text{, }&a\neq \frac{1}{2}\text{ and }|a|\leq \frac{2\sqrt{3}}{3}\end{matrix}\right.
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