Question 994714: two numbers have a difference of 24. find the numbers if the result of adding their sum to their product is a minimum Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! two numbers have a difference of 24. find the numbers if the result of adding their sum to their product is a minimum
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f(x) = x(24+x) + x+24 = x^2 + 25x + 24
f'(x) = 2x + 25 = 0
--> Minimum at x = -12.5
--> -12.5 & 11.5
