SOLUTION: Find two positive numbers whose product is 25 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.)

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Question 869065: Find two positive numbers whose product is 25 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be A and B.
AB=25
You want to minimize the sum,
S=A%2BB
S=A%2B25%2FA
dS%2FdA=1-25%2FA%5E2=0
1=25%2FA%5E2
A%5E2=25
A=5
B=5