28-07-2016
Mathematics

Answered

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

Verified Answer :

30-07-2016

Hello,

(250,-250)
Let's assume

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

P(x)=x(x-500)=x²-500x=x²-2250+250²-250²=(x-250)²-62500

Vertex is (250,-62500)

If x=250 then x-500=-250

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