$${ \left(x+ \frac{ 1 }{ x } \right) }^{ 2 } =3, \left( { x }^{ 3 } + \frac{ 1 }{ { x }^{ 3 } } \right) _{ }$$
$x=e^{\frac{5\pi i}{6}}\approx -0.866025404+0.5i\text{, }y=0$
$x=e^{\frac{11\pi i}{6}}\approx 0.866025404-0.5i\text{, }y=0$
$x=e^{\frac{\pi i}{6}}\approx 0.866025404+0.5i\text{, }y=0$
$x=e^{\frac{7\pi i}{6}}\approx -0.866025404-0.5i\text{, }y=0$
