CAIE P3 2024 November — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2024
SessionNovember
TopicComplex Numbers Arithmetic
TypePure square root finding

3 The square roots of 6-8i can be expressed in the Cartesian form \(x + \mathrm { i } y\), where \(x\) and \(y\) are real and exact. By first forming a quartic equation in \(x\) or \(y\), find the square roots of \(6 - 8 \mathrm { i }\) in exact Cartesian form.
\includegraphics[max width=\textwidth, alt={}, center]{9da6c2ac-31aa-4063-88b9-e15e38bedd8a-05_2725_35_99_20}