Rational And Its Sum

Number Theory Level 2

Clearly, 1+11=2 1 + \dfrac{1}{1} = 2 .

Does there exist another positive rational number rr , such that the sum of the number and its reciprocal is an integer?

r+1r∈N,r≠1,r∈Q+ r + \dfrac{1}{r} \in \mathbb{N}, r \neq 1, r \in \mathbb{Q}^+

Calvin Lin by Calvin Lin
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