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

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asked Jan 27, 2017 50.2k views

1 Answer

Mr Man · Answer 1 · 2017-02-03T12:39:33+0000

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

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

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