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Rationally Integers (Posted on 2009-06-16)

Determine all possible triplet(s) (p,q,r) of positive rational numbers such that each of p+q+r, p^-1 + q^-1 + r^-1 and p*q*r is an integer.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required positive rational triplets are:
1 1 1 1 2 2 2 1 2 2 2 1 2 3 6 2 4 4 2 6 3 3 2 6 3 3 3 3 6 2 4 2 4 4 4 2 6 2 3 6 3 2
For an explanation, refer to the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
some more via computer program	Charlie	2009-06-16 12:46:42
some obvious ones	Charlie	2009-06-16 12:24:14

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