4MA1/2HR Jun 2020, 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 y = (n² + d)/n² to make n the subject, given n > 0.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1y = (n² + d) / n²
- 2Split the fraction: y = n²/n² + d/n²
- 3y = 1 + d/n²
- 4y − 1 = d/n²
- 5Multiply both sides by n²: n²(y − 1) = d
- 6n² = d / (y − 1)
- 7n > 0, so n = √(d / (y − 1))
Answern = √(d / (y − 1))
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