CAPE Pure Mathematics Unit 1 · May/June 2008 · Paper 2 · Question 2(b)(i)
Solve for x the equation x^(1/3) - 4x^(-1/3) = 3.
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Practise this questionOther parts of this question
- 2(a)(i)Write down the values of α + β and αβ.[2 marks]
- 2(a)(ii)a)Calculate α² + β².[2 marks]
- 2(a)(ii)b)Calculate α³ + β³.[4 marks]
- 2(a)(iii)Find a quadratic equation whose roots are α³ and β³.[4 marks]
- 2(b)(ii)Find x such that log₂(x + 3) + log₂(x - 1) = 1.[5 marks]
- 2(b)(iii)Without the use of calculators or tables, evaluate log₁₀(1/2) + log₁₀(2/3) + log₁₀(3/4) + ... + log₁₀(8/9) + log₁₀(9/10).[3 marks]
More practice: the rest of this paper · more Exponential and Logarithmic Functions questions · all CAPE Pure Mathematics Unit 1 past papers