2024 IGCSE Additional Mathematics October/November 0606/21 Q3

2024 IGCSE Additional Mathematics October/November 0606/21 Q3

10 marks
  1. Solve the equation \(8^{\frac1x}-2\times8^{-\frac1x}=1\).[4]
  2. It is given that \((a-\sqrt3)^2=b+(3-b)\sqrt3\), where \(a\) and \(b\) are integers. Find the possible values of \(a\) and \(b\).[6]

Solution:

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Answer:(a) \(x=3\). (b) \((a,b)=(0,3),(2,7)\).

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