Question 88

A number is greater than 58 times its reciprocal by 3/4. What is the number?

Solution

Let that number be $$x$$

$$ 58(\frac{1}{x}) + \frac{3}{4} = x$$

$$\Rightarrow 4x^{2}-3x-232 = 0$$

$$\Rightarrow(x-\frac{32}{4})(x+\frac{29}{4})=0$$

$$\Rightarrow(x-8)(x+\frac{29}{4})=0$$

$$\Rightarrow x = 8 or -29/4$$

so the answer is option D.

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