Math Problem Solver

Roots

\[\sqrt{\frac{9}{16 {x}^{6}}} = i \left(- 3 \sqrt[4]{\frac{\left(- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{\left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)}\right) - 3 \sqrt[4]{\frac{\left(- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{\left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)} \approx - 0.167705098312484 i \left(\frac{\left(- 0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)} - 0.167705098312484 \left(\frac{\left(- 0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)}\]\[\sqrt{\frac{9}{16 {x}^{6}}} = i 3 \sqrt[4]{\frac{\left(- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{\left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)} + 3 \sqrt[4]{\frac{\left(- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{\left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)} \approx 0.167705098312484 i \left(\frac{\left(- 0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)} + 0.167705098312484 \left(\frac{\left(- 0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}} + \frac{0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}}{\left(\left(0.3 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 0.3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + 0.5625 \left(0.0666666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{6} - \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 0.0666666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}\right)^{2}}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}},\frac{16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}}{\left(96 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} - 320 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 96 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5}\right)^{2} + \left(16 \left(\operatorname{re}{\left(x\right)}\right)^{6} - 240 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 240 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 16 \left(\operatorname{im}{\left(x\right)}\right)^{6}\right)^{2}} \right)}}{2} \right)}\]