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What are some sets of 4 positive integers whose reciprocals add to equal 1?
1/A + 1/B + 1/C + 1/D = 1
Thanks for any help. Any correct answer gets a thumbs up. The most answers gets the "Best Answer".
@Gerry: Thanks. But, I would REALLY prefer 4 different integers.
1 Answer
- Anonymous10 years agoFavorite Answer
(2,3,12,12}
{2,4,8,8}
{2,5,5,10}
{2,6,6,6}
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{3,3,6,6}
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{4,4,4,4}
Those are all 6 possible combinations. If you allow email and want a proof of that let me know. It's not trivial but I can do it for you if you really want it.
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Source(s): Doctorate in mathematics