$$\frac { 1 } { x - 1 } - \frac { 1 } { x + 1 } - \frac { 2 } { x ^ { 2 } + 1 } = \frac { 4 } { 2 x ^ { 4 } + 1 }$$
$x=2^{\frac{3}{4}}\left(-\frac{1}{2}+\frac{1}{2}i\right)\approx -0.840896415+0.840896415i$
$x=2^{\frac{3}{4}}\left(\frac{1}{2}+\frac{1}{2}i\right)\approx 0.840896415+0.840896415i$
$x=2^{\frac{3}{4}}\left(-\frac{1}{2}-\frac{1}{2}i\right)\approx -0.840896415-0.840896415i$
$x=2^{\frac{3}{4}}\left(\frac{1}{2}-\frac{1}{2}i\right)\approx 0.840896415-0.840896415i$
