$$x- \frac{ 1 }{ x } =5, { \left(x+ \frac{ 1 }{ x } \right) }^{ 2 } =$$
$x=\frac{5-\sqrt{29}}{2}\approx -0.192582404\text{, }y=29$
$x=\frac{\sqrt{29}+5}{2}\approx 5.192582404\text{, }y=29$
