Here's an interesting problem from number theory.
A little bit of experimentation will probably lead you to the answer. But it would be interesting to find one's own proof for that answer.
I have written up my analysis of the problem in the following PDF file: Problem about a rational number.
Do have a look at it. Your comments would be very welcome.
Which positive rational numbers have the property that the sum of the number and its reciprocal is an integer?
A little bit of experimentation will probably lead you to the answer. But it would be interesting to find one's own proof for that answer.
I have written up my analysis of the problem in the following PDF file: Problem about a rational number.
Do have a look at it. Your comments would be very welcome.
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