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6 September, 17:13

Find the maximum value of the product of two numbers x and 10 - x.

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  1. 6 September, 19:12
    0
    Answer:25

    Step-by-step explanation:

    x (10-x) = 10x - x^2 = 10x - x^2 + 25 - 25 = 25 - (x^2 - 10x + 25) =

    25 - (x-5) ^2 > = 25 - 0 (because (x-5) ^2 >=0)

    So the max is 25!
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