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CIE 9231 2025 June Paper 22 Q1

A Level / CIE / FP2

CIE 9231 2025 June Paper 22 Paper · Question 1

题目

Problem

Find the roots of the equation z3=2727iz^3 = 27 - 27\mathrm{i}, giving your answers in the form reiθre^{\mathrm{i}\theta}, where r>0r > 0 and πθ<π-\pi \le \theta < \pi.

[5]
题目中文翻译

求方程 z3=2727iz^3 = 27 - 27\mathrm{i} 的根,答案写成 reiθre^{\mathrm{i}\theta} 的形式,其中 r>0r > 0πθ<π-\pi \le \theta < \pi

解答