Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

The square roots of $6 - 8i$ can be written in Cartesian form as $x + iy$, with $x$ and $y$ both real and exact.
(main)[5]

After first setting up a quartic equation in $x$ or $y$, determine the square roots of $6 - 8i$ in exact Cartesian form.

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 $6$ and the imaginary part to $-8$ respectively

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