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

Question

Mathematics

Hailey

17 February, 22:31

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

+1

Answers (1)

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Izayah Chandler · Answer 1

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