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2 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 1 · Question 3(b)(i)

Given that x + 1/x = 1, by considering (x + 1/x)^2, show that x^2 + 1/x^2 = -1.

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Other parts of this question

  1. 3(a)Without using calculators or tables, show that (sqrt(11) + sqrt(7)) = 4 / (sqrt(11) - sqrt(7)).[2 marks]
  2. 3(b)(ii)Hence, or otherwise, find the value of x^3 + 1/x^3.[5 marks]

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