SOLUTION: One number is 10 greater than the other number. Find the two numbers such that their product is a minimum. What is the product?

Question 118651: One number is 10 greater than the other number. Find the two numbers such that their product is a minimum. What is the product?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let N be the first number.
Then N+10 is the second number.
Their product is N(N+10).

To find a minimum, set the derivative of P with respect to N equal to zero.

Now set it equal to zero.

Graphically, the product function N(N+10) shows the same result.
Here x=N and y=N(N+10).

The first number is -5.
The second number is 5.
Their product is -25.
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