Level 3 Complex Numbers Walkthrough
2025 NCEA Level 3 Complex Numbers Question 2(c)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91577 — Apply the algebra of complex numbers in solving problems.
Method: Solving a modulus equation with a real parameter.
This is Question 2(c) from the 2025 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 solving a modulus equation with a real parameter. 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.