$$x=2^{\frac{1}{3}}-2^{\frac{-1}{3}}$$
$x=\frac{2^{\frac{2}{3}}\left(2^{\frac{2}{3}}-1\right)}{2}\approx 0.466220524$
$x≔\frac{2^{\frac{2}{3}}\left(2^{\frac{2}{3}}-1\right)}{2}$