Math Problem Solver

Roots

\[\sqrt{\frac{0.49}{{x}^{4}}} = i \left(- \frac{7 \sqrt[4]{\frac{\left(- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)}}{10}\right) - \frac{7 \sqrt[4]{\frac{\left(- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)}}{10} \approx - 0.285773803324704 i \left(\frac{0.444444444444444 \left(- \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)} - 0.285773803324704 \left(\frac{0.444444444444444 \left(- \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)}\]\[\sqrt{\frac{0.49}{{x}^{4}}} = i \frac{7 \sqrt[4]{\frac{\left(- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)}}{10} + \frac{7 \sqrt[4]{\frac{\left(- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)}}{10} \approx 0.285773803324704 i \left(\frac{0.444444444444444 \left(- \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)} + 0.285773803324704 \left(\frac{0.444444444444444 \left(- \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}} + \frac{\left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}}{\left(0.444444444444444 \left(\left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(0.166666666666667 \left(\operatorname{re}{\left(x\right)}\right)^{4} - \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 0.166666666666667 \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}\right)^{2}}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{- 4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} + 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}},\frac{\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}}{\left(4 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 4 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(\left(\operatorname{re}{\left(x\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{4}\right)^{2}} \right)}}{2} \right)}\]