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Find the solutions of $\frac{5z}{1 + 2i} - zz^* + 30 + 10i = 0$, and give them in the form $x + iy$, with $x$ and $y$ real.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write $z=x+iy$ and $z^*=x-iy$ in the equation to get a correct relation in $x$ and $y$.” …
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