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24 July, 00:25

Find a positive number x such that the sum of 25x and 1/x is as small as possible.

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  1. 24 July, 00:48
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    We are asked for the value of x such that the sum of numbers 25x and 1/x is small as possible. In this case, we use differentiation to find the minimum sum.

    S = 25x + 1/xdS = 0 = 25 - 1/x^2x = 1/5

    The answer hence is 1/5
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