$$x+ \frac{ 1 }{ x } -1=0, { x }^{ 3 } =$$
$x=\frac{-\sqrt{3}i+1}{2}\approx 0.5-0.866025404i\text{, }y=-1$
$x=\frac{1+\sqrt{3}i}{2}\approx 0.5+0.866025404i\text{, }y=-1$