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Find two numbers whose difference is 5 and the product is the least possible.

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thilina-g eNotes educator | Certified Educator

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Let the larger number of two numbers be x. Then the other number is `(x-5)`

The product of the two numbers is `y = x(x-5)` .

We should find x such that y is a minimum. To find that we can use differentiation....

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aminahali | Student

-4 & 1

The difference between them is 5 and from what I have worked out it is the pair of numbers with the smallest possible product.