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29 October, 01:47

Find the greatest product using rational rational numbers with a sum of 20

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  1. 29 October, 02:07
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    Hello,

    Let's be x and y the 2 numbers

    x+y=20==>y=20-x

    P (x) = x*y=x * (20-x) = 20x-x²

    Max (P (x)) = = >P' (x) = 0 = 20-2x==>2x=20==>x=10

    A product is maximum is the 2 numbers are equals;

    Numbers are 10 and 10 and product=100
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