Question Number 93366 by Rio Michael last updated on 12/May/20
$$\:\mathrm{solve}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\left({z}−\mathrm{2}\right)^{\mathrm{3}} \:=\:\frac{\mathrm{1}}{\mathrm{2}}−{i}\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$
Answered by prakash jain last updated on 12/May/20
$$\frac{\mathrm{1}}{\mathrm{2}}−{i}\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$={e}^{−{i}\pi/\mathrm{3}} \\ $$$${z}−\mathrm{2}={e}^{−{i}\pi/\mathrm{9}} \\ $$$${z}=\mathrm{2}+\mathrm{cos}\:\left(\frac{\pi}{\mathrm{9}}\right)−{i}\mathrm{sin}\:\left(\frac{\pi}{\mathrm{9}}\right) \\ $$
Commented by Rio Michael last updated on 12/May/20
$$\mathrm{thanks}\:\mathrm{sir} \\ $$
Commented by Rio Michael last updated on 13/May/20
$$\mathrm{sir}\:\mathrm{please}\:\mathrm{help}\:\mathrm{me}\:\mathrm{with}\:\mathrm{Q93367} \\ $$