2010013407

Two solutions of the equation $$x^3+1-\mathrm{i}=0$$ are $$\begin{array}{rlr}{x}_1& =\sqrt[6]{2}(\cos \frac{\pi }{4}+\mathrm{i}\sin \frac{\pi }{4}),& \\ x_2& =\sqrt[6]{2}(\cos \frac{11}{12}\pi +\mathrm{i}\sin \frac{11}{12}\pi ).\end{array}$$ Find the third solution.