4MA1/2H Jun 2025, Question 16: Changing the subject
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Rearrange c = (t² + 3)/(7 − 8t²) to make t the subject.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1c(7 − 8t²) = t² + 3
- 27c − 8ct² = t² + 3
- 37c − 3 = t² + 8ct²
- 47c − 3 = t²(1 + 8c)
- 5t² = (7c − 3)/(1 + 8c)
- 6t = ±√((7c − 3)/(1 + 8c))
Answert = ±√((7c − 3)/(1 + 8c))
Stuck on a step? Read the free lesson: Rearranging Formulas
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