$${ x }^{ 2 } -7-4 \sqrt{ 3 } =0, { x }^{ 2 } - \frac{ 1 }{ { x }^{ 2 } } =y$$
$x=\sqrt{3}+2\approx 3.732050808\text{, }y=8\sqrt{3}\approx 13.856406461$
$x=-\left(\sqrt{3}+2\right)\approx -3.732050808\text{, }y=8\sqrt{3}\approx 13.856406461$
$x=-\sqrt{3}-2\approx -3.732050808\text{, }y=8\sqrt{3}\approx 13.856406461$
$x=\sqrt{3}+2\approx 3.732050808\text{, }y=8\sqrt{3}\approx 13.856406461$
