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Question 88
The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?
Solution
$$ x + 20(\frac{1}{x}) = 9$$
$$\Rightarrow (x^{2}+20) = 9 \times x$$
$$\Rightarrow x^{2}-9x+20 = 0$$
$$\Rightarrow(x-4)(x-5)=0$$
$$\Rightarrow x = 4 or 5$$
so the answer is option D.
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