SOLUTION: two numbers differ by 10. the product of the larger number and twice the smaller is a minimum. what are the numbers?

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Question 928785: two numbers differ by 10. the product of the larger number and twice the smaller is a minimum. what are the numbers?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
two numbers differ by 10.
(x+10)2x = 2x^2 + 20x
f(x) = 2x^2 + 20x
f(x) = 2(x + 5)^2 - 50
minimum: x = -5
.........
Numbers are -5, 5 -5%2B10