SOLUTION: find two numbers whose sum is 26 and whose product is the maximum possible value

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Question 1067727: find two numbers whose sum is 26 and whose product is the maximum possible value
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=26%2Cxy%29

product, xy=x%2826-x%29=26x-x%5E2
has roots 0 and 26 and this product is related to the concave downward parabola f%28x%29=x%2826-x%29. The vertex MAXIMUM will occur at x=13.