A set of five rationals which sum to 1 and have product 1. Must they be of the form 1, r, -r, 1/r, -1/r for some rational r?
Replying to @jamestanton
Fun variant: solve a + A = b + B = c + C = aB = bC = cA = 1. And find the elementary symmetric polynomials in a, b, c, A, B, C
8:39 AM - 25 Jul 2016
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