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After setting up a quartic equation in $x$ or $y$, determine the square roots of $-1 - 4\sqrt{5}i$ in exact Cartesian form.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
The square roots of $-1 - 4\sqrt{5}i$ may be written in Cartesian form as $x + iy$, with $x$ and $y$ both real and exact.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Square $x+iy$ and match the real part to $-1$ and the imaginary part to $-4\sqrt5$” …
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