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2 June, 01:35

Find two numbers whose difference is 500 and whose product is a minimum. List them separated with a comma.

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  1. 2 June, 02:04
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    Hello,

    (250,-250)

    Let's assume

    x the greater number

    x-?=500==>?=x-500 is the smallest.

    P (x) = x * (x-500) = x²-500x=x²-2*250+250²-250² = (x-250) ²-62500

    Vertex is (250,-62500)

    If x=250 then x-500=-250
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