SOLUTION: Find two positive real numbers with the smallest possible sum whose product is 25

Question 423764: Find two positive real numbers with the smallest possible sum whose product is 25
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Solution: Denote the first real number with x, since their product is 25, than the second number is: 25/x. Our function who gives the smallest possible sum is:
We need to find the minimum value for this function.
We find the derivative of this function and the value of x, where this derivative is zero. y'= 1-(25/x^2), x^2-25=0.
The real numbers that satisfy our problem are:
The graphic solution is given bellow

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