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Number play (Posted on 2020-12-18) |
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Let m and n be two given integers. Alice thinks of a pair of real numbers x, y and then she tells Bob the values of xm+ym and xn+yn, in this order. Bob's goal is to determine the value of xy using that information. Find all values of m and n for which it is possible for Bob to fulfill his wish, whatever numbers that Alice had chosen.
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