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Year 11 Maths - Specialist Complex numbers

Solving equations over the complex numbers

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Questions
Question 1
56744

Solve over \(C\)

\(z^2+9=0\)

\( \pm 3i\)

$$
\begin{aligned}
Z^{2}+9&=0\\
Z^{2}&=-9\\
Z&=\pm \sqrt{-9}\\
&=\pm 3 i
\end{aligned}
$$

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