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Find the complex numbers $w$ that satisfy the stated conditions.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
Find the complex numbers $w$ that satisfy the equation $w^2 + 2i w^* = 1$ while also meeting $\operatorname{Re} w \leq 0$. Write each answer in the form $x + iy$, where $x$ and $y$ are real.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute and write a correct equation in $x$ and $y$, for example $(x+iy)^2+2i(x-iy)=1$.” …
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