$$\left. \begin{array} { l } { x = 2 + \sqrt { 3 } } \\ { ( x - \frac { 1 } { x } ) ^ { 2 } } \end{array} \right.$$
$y=12$
$$y=\left(2+\sqrt{3}-\frac{1}{2+\sqrt{3}}\right)^{2}$$
$$y=\left(2+\sqrt{3}-\frac{2-\sqrt{3}}{\left(2+\sqrt{3}\right)\left(2-\sqrt{3}\right)}\right)^{2}$$
$$y=\left(2+\sqrt{3}-\frac{2-\sqrt{3}}{2^{2}-\left(\sqrt{3}\right)^{2}}\right)^{2}$$
$$y=\left(2+\sqrt{3}-\frac{2-\sqrt{3}}{4-3}\right)^{2}$$
$$y=\left(2+\sqrt{3}-\frac{2-\sqrt{3}}{1}\right)^{2}$$
$$y=\left(2+\sqrt{3}-\left(2-\sqrt{3}\right)\right)^{2}$$
$$y=\left(2+\sqrt{3}-2+\sqrt{3}\right)^{2}$$
$$y=\left(\sqrt{3}+\sqrt{3}\right)^{2}$$
$$y=\left(2\sqrt{3}\right)^{2}$$
$$y=2^{2}\left(\sqrt{3}\right)^{2}$$
$$y=4\left(\sqrt{3}\right)^{2}$$
$$y=4\times 3$$
$$y=12$$
$$x=2+\sqrt{3}$$ $$y=12$$
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