$$\left. \begin{array} { l } { x + \frac { 1 } { x } = 22 } \\ { x ^ { 2 } - 2 x + 1 } \end{array} \right.$$
$x=11-2\sqrt{30}\approx 0.04554885\text{, }y=220-40\sqrt{30}\approx 0.910976998$
$x=2\sqrt{30}+11\approx 21.95445115\text{, }y=40\sqrt{30}+220\approx 439.089023002$
