2020HSCMultiple choice

Q2

1 mark

Question

Given that $z=3+i$ is a root of $z^2+pz+q=0$ , where $p$ and $q$ are real, what are the values of $p$ and $q$ ?

A. $p=-6$ , $q=\sqrt{10}$
B. $p=-6$ , $q=10$
C. $p=6$ , $q=\sqrt{10}$
D. $p=6$ , $q=10$

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Syllabus alignment

Complex Numbers

Solving equations with complex numbersUse De Moivre's theorem and solve equations and polynomial problems involving complex and conjugate roots.

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