4MA1/2HR Jun 2025, Question 17: Rearranging Formulas
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
Rearrange p = (8k² + 5)/(7 − 3k²) to make k the subject, showing the algebraic steps.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1p(7 − 3k²) = 8k² + 5
- 27p − 3k²p = 8k² + 5
- 37p − 5 = 8k² + 3k²p
- 47p − 5 = k²(8 + 3p)
- 5k² = (7p − 5)/(8 + 3p)
- 6k = ±√((7p − 5)/(8 + 3p))
Answerk = ±√((7p − 5)/(8 + 3p))
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