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Complex numbers 2 — Question 3

QCAA 2023, Paper 2 · 1 mark

Q3 · 2023 · Technology-activeSimple familiar1 mark

QUESTION 3

Given that 2i2i is a root of z2−pz−q=0z^2-pz-q=0, where p,q∈Rp,q\in\mathbb R, determine the values of pp and qq.
(A)
p=−4p=-4 and q=−4q=-4
(B)
p=−4p=-4 and q=4q=4
(C)
p=0p=0 and q=−4q=-4
(D)
p=0p=0 and q=4q=4
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