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Which of the following fractions is the result of the sum of an integer and its reciprocal?

1. 15/8

2. 26/5

3. 36/7

4. 37/5

Explain?
| 13 views

+1 vote

Let the integer be $x$

According to given condition,

We have to find,

$x + \frac{1}{x} = \frac{x^2 + 1}{x}$

So, numerator is $1$ more than square of denominator.

Looking at the options, only option (2) satisfies this.

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