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| Sum > Sum Reciprocals (Posted on 2010-11-25) |
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A, B and C are three positive real numbers such that: A*B*C = 1, and: A + B + C > 1/A + 1/B + 1/C
Prove that precisely one (and, no more) of A, B and C is greater than 1.
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 | Solution | Harry | 2010-11-26 23:21:01 |
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