$$x- \frac{ 1 }{ x } =8, { x }^{ 2 } + \frac{ 1 }{ { x }^{ 2 } }$$
$x=4-\sqrt{17}\approx -0.123105626\text{, }y=66$
$x=\sqrt{17}+4\approx 8.123105626\text{, }y=66$
