Dana H.

asked • 01/20/19

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

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

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Larry C. answered • 01/21/19

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The minimum product would be one less than zero, which you can only get by multiplying a negative number by a positive one. This would make the only possibilities with unique products (-7,1), (-6,2), (-5,3) and (-4,4). Of those, (-4,4) and its reflection (4,-4) have the minimum product of -16

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