QCEVault

Complex numbers — Question 144

Original QCE Vault practice · 6 marks

Q144 · Practice questionTechnology-activeComplex unfamiliar6 marks

QUESTION 144 (6 marks)

Let zz satisfy z3=−8iz^{3}=-8i.
Original diagram for Specialist Mathematics Paper 2 question 15
a)
Find all three roots in modulus-argument form with arguments in [0,2π0,2\pi).
[3 marks]
b)
Write the roots in Cartesian form.
[2 marks]
c)
Describe their geometric arrangement in the Argand plane.
[1 mark]
Question linkSyllabus coverage

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