Question

$$\left. \begin{array} { l } { 1 / x _ { 1 } = \frac { 1 / \sqrt { x ^ { 2 } - y ^ { 2 } } } { y ^ { 2 } } = \frac { 17 x ^ { 2 } - 47 } { y ^ { 2 } } } \\ { x _ { 2 } = e ^ { 2 } x _ { 2 } + 6 x \right.$$

Solve for x (complex solution)

$x=-\sqrt{\frac{x_{1}^{2}+y^{6}}{y^{4}}}$
$x=\sqrt{\frac{x_{1}^{2}+y^{6}}{y^{4}}}\text{, }|-arg(x_{1})+arg(\sqrt{\frac{x_{1}^{2}}{y^{4}}}y^{2})|<\pi \text{ and }x_{1}\neq 0\text{ and }y\neq 0$

Solve for x

$x=\frac{\sqrt{x_{1}^{2}+y^{6}}}{y^{2}}$
$x=-\frac{\sqrt{x_{1}^{2}+y^{6}}}{y^{2}}\text{, }y\neq 0\text{ and }x_{1}>0$