SOLUTION: Find two real numbers whose difference is S and whose product is a minimum.

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Question 1020082: Find two real numbers whose difference is S and whose product is a minimum.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find two real numbers whose difference is S and whose product is a minimum.
Two numbers, x & y
x - y = s
x = (y+s)
xy = the product
replace x with (y+s)
y(y+s) = y^2 + sy
The minimum occurs on the axis of symmetry. a=1; b=s
y = %28-s%29%2F%282%2A1%29
y = -s%2F2; the 2nd number
Find x
x = -s%2F2 + s; the 1st number
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