2013 RVHS P1 Q7

2013 RVHS P1 Q7

4 marks

Prelims

The complex numbers \(w\) and \(z\) satisfy the equations

\(\begin{matrix} & \frac{w}{z}=\frac{3}{2}\mathbf{i} \\ & {{z}^{*}}-2w=4+4\mathbf{i}. \end{matrix}\)

Find \(w\) and \(z\).[4]

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Answer:\(w=-3-3\mathbf{i}\) and \(z=-2+2\mathbf{i}\)

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