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4MA1/2HR Jan 2022, Question 15: Rearranging Formulas

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks

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The question, in short

Rearrange n² = (4d + t³)/t³ to make t 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

  1. 1n²t³ = 4d + t³
  2. 2n²t³ − t³ = 4d
  3. 3t³(n² − 1) = 4d
  4. 4t³ = 4d/(n² − 1)
  5. 5t = ∛(4d/(n² − 1))

Answert = ∛(4d/(n² − 1))

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