9231 P21 - Nov 2023 - Q2 - 5 marks
5968
Find the roots of the equation \((z+5 \mathrm{i})^{3}=4+4 \sqrt{3} \mathrm{i}\), giving your answers in the form \(r \cos \theta+\mathrm{i}(r \sin \theta-5)\), where \(r\gt 0\) and \(0\lt \theta\lt 2 \pi\).
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