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| Some Inverses Sum Inverse (Posted on 2009-07-18) |
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Determine all possible triplet(s) (E, F, G) of positive integers, with E and F being prime numbers and E ≥ F, that satisfy this equation:
E-1 + F-1 + (E*F) -1 = G-1
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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(Hide)
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The only possible triplet that satisfies all the given conditions is (3,2,1).
For an explanation, refer to the analytical solution submitted by Daniel in this location. A slightly different method has been submitted by Harry in this location.
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