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16 October, 03:18

Find two positive numbers whose product is 225 and whose sum is a minimum

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  1. 16 October, 03:26
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    Let S = x + y.

    Since xy = 225, y = 225/x.

    Substitute into the sum to get S = x + 225/x.

    Then S' = 1 - 225/x^2, implying that 15/x = 1.

    Then x = 15.

    The other number is also 15.
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