| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2023 |
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| Session | March |
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| Topic | Complex numbers 2 |
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4 Solve the equation
$$\frac { 5 z } { 1 + 2 \mathrm { i } } - z z ^ { * } + 30 + 10 \mathrm { i } = 0$$
giving your answers in the form \(x + \mathrm { i } y\), where \(x\) and \(y\) are real.