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Determine the complex number $z$ that satisfies the equation $$\frac{z - 3i}{z + 3i} = \frac{2 - 9i}{5}.$$ Write your answer in the form $x + iy$, where $x$ and $y$ are real.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $z=x+iy$ to produce an equation with no $xy$ terms.” …
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