Question

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Answer 1

Answer:

(i) 18

Step-by-step explanation:

$x + \frac{1}{x} \\ 9 - 4 \sqrt{5} + \frac{1}{9 - 4 \sqrt{5} } \\ 9 - 4\sqrt{5} + \frac{1}{9 - 4 \sqrt{5} } \times \frac{9 + 4 \sqrt{5} }{9 + 4 \sqrt{5} } \\ 9 - 4 \sqrt{5} + \frac{9 + 4 \sqrt{5} }{81 - 80} \\ 9 - 4 \sqrt{5 } + 9 + 4 \sqrt{5} \\ 9 + 9 \\ 18$