Skip to content
CalcGospel 國際數學圖譜
返回

CIE 9231 2025 Nov Paper 22 Q2

A Level / CIE / FP2

CIE 9231 2025 Nov Paper 22 Paper · Question 2

题目

Problem

Find the roots of the equation z4=88i3z^4 = 8 - 8\mathrm{i}\sqrt{3}, giving your answers in the form reiθre^{\mathrm{i}\theta}, where r>0r > 0 and πθ<π-\pi \leq \theta < \pi.

[5]
题目中文翻译

求方程 z4=88i3z^4 = 8 - 8\mathrm{i}\sqrt{3} 的根。答案写成 reiθre^{\mathrm{i}\theta} 的形式,其中 r>0r > 0πθ<π-\pi \leq \theta < \pi

解答