Level 3 Complex Numbers Walkthrough
2019 NCEA Level 3 Complex Numbers Question 1(a)
2019 Complex Numbers
Walkthrough overview
What this question practises
This 2019 walkthrough is part of AS91577 — Apply the algebra of complex numbers in solving problems.
Method: Completing the square to solve a complex quadratic.
This is Question 1(a) from the 2019 NCEA Level 3 Complex Numbers paper for AS91577 — Apply the algebra of complex numbers in solving problems. Use the guided hints to practise the method before revealing the full working.
Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91577.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise completing the square to solve a complex quadratic. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Check each step against the original condition, preserve signs and restrictions, and confirm that the final result answers the question asked.
Continue practising
- All 2019 Complex Numbers walkthroughs
- All AS91577 Complex Numbers years
- Practise more questions using this skill: Complex-number algebra