a let z 2i1 i4 3i text find integers m text and n text such that m z z
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Question
(a) Let z= 2i(1 – i)(4 – 3i)-- \text { Find integers } m \text { and } n \text { such that } m z^{*}-z=14+n i \text {. }
\text { (b) Let } w=\frac{3}{2}(\sqrt{3}+i) 18Use de Moivre's theorem to calculate ()t° and give your answer in the form a + bi where a and b are real numbers.(5 MARKS)