SOLUTION: Among all pairs of numbers whose difference is 8​, find a pair whose product is as small as possible. What is the minimum​ product? The pair of numbers whose diff

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Question 1128977: Among all pairs of numbers whose difference is 8​, find a pair whose product is as small as possible. What is the minimum​ product?

The pair of numbers whose difference is 8 and whose product is as small as possible is
____________________________________ ?
​(Use a comma to separate​ answers.)

The minimum product is _____________________________________________?
Answer by greenestamps(13200) About Me  (Show Source):
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Let the two numbers be x and x+8; then the product is x^2+8x.

The minimum value of a quadratic function ax^2+bx+c is when x = -b/2a; in this problem that is -8/2 = -4.

So the two numbers are x=-4 and x+8 = 4; the minimum product is -16.