2022 SJI P2 Q1

2022 SJI P2 Q1

IB Year 5 | Grade 11
4 marks

Find the complex numbers \(z\) and \(w\) which satisfy the simultaneous equations

\[\frac zw=2\mathrm i-1\]

\[(3+2\mathrm i)z=w+2\mathrm i,\quad\text{where}\hspace{0.5em}\mathrm i^2=-1.\][4]

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Answer:\(z=0.3+0.4\mathrm i,\quad w=0.1-0.2\mathrm i\)

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