SOLUTION: Find 2 numbers with a difference of 10 and a product that is minimum. Find the minimum product.

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Question 510851: Find 2 numbers with a difference of 10 and a product that is minimum. Find the minimum product.
Answer by richard1234(7193) About Me  (Show Source):
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Let x and x-10 be the numbers, and we want to minimize x(x-10) = x^2 - 10x. This can be treated like a parabola and the vertex occurs at x = 10/2 = 5. If x = 5, then x(x-10) = 5(-5) = -25.