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2022 Mathematics Extension 2 Q7 | HSC Atlas

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2022TrialMultiple choice

Q7

1 mark

Question

$z^2+pz+q=0$ , where $p,q$ are real, has one solution $z=3-2i$ . The values of $p$ and $q$ are:

A. $p=6$ , $q=13$

B. $p=-6$ , $q=13$

C. $p=-6$ , $q=-13$

D. $p=-6$ , $q=-13$

Try the question before revealing the answer.

Solution

Answer: B

Supplied marking guidance · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Complex Numbers

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

Source

Girraween 2022 4U Trial PaperGirraweenQuestion paper page 4Guidance page 12View original source ↗

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