SOLUTION: One number subtracted from another is 11. The product of the two numbers is a minimum. What are the numbers?

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Question 819516: One number subtracted from another is 11. The product of the two numbers is a minimum. What are the numbers?
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Let p = the product of the two numbers, x and y.
and

A parabola with a minimum. Looking back at the factored form for p, roots are at x=0 and x=-11.
The minimum occurs exactly in the middle, for ; find also that

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