Gce Model Questions Vol1 2022 Further Mathematics Question 2

Practice objective / multiple choice question 2 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 2 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

Solve \((z^{2}+1)^{3}=8i\) for the complex number \(z\). Then find the sum of the moduli of all distinct solutions.

Answer Options

A. 2\big((5-2\sqrt3)^{1\/4}+(5+2\sqrt3)^{1\/4}+5^{1\/2}\big)
Correct Answer B. 2\big((5-2\sqrt3)^{1/4}+(5+2\sqrt3)^{1/4}+5^{1/4}\big)
C. 2\big((5-2\sqrt3)^{1\/4}+(5+2\sqrt3)^{1\/4}-5^{1\/4}\big)
D. 2\big((5-2\sqrt3)^{1\/2}+(5+2\sqrt3)^{1\/4}+5^{1\/4}\big)
Correct Answer
B
Correct Option:
2\big((5-2\sqrt3)^{1/4}+(5+2\sqrt3)^{1/4}+5^{1/4}\big)

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 2. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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