SOLUTION: If the sum of two numbers is 30. Find their maximum product.
Algebra.Com
Question 1186502: If the sum of two numbers is 30. Find their maximum product.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Given the sum of two numbers, the product of the two numbers is greatest if the two numbers are the same.
Here is one way to show that using formal algebra.
The sum is 30, so let the two numbers be 15+x and 15-x; then their product is 225-x^2.
But x^2 is always 0 or positive, so the maximum value of 225-x^2 is when x is 0; that make the numbers 15+x and 15-x equal.
ANSWER: 15*15=225
RELATED QUESTIONS
The sum of two numbers is 20. Find the numbers and their product if their product is a... (answered by math_helper)
The sum of two numbers is 24.Find the two numbers if their product is to be a... (answered by richard1234)
the sum of two numbers is 28. find the two numbers if their product is to be a maximum.... (answered by math_helper)
The sum of two numbers is 60. Find the numbers if their product is a maximum.
Thank... (answered by Alan3354)
The sum of two natural numbers is 12. If their product is a maximum, find the numbers. (answered by ankor@dixie-net.com)
the sum of two numbers is 11, and their product is 30. Find the... (answered by Fombitz,LinnW)
Not sure which topic would fit this best... but if someone could show me how to tackle... (answered by Alan3354)
The sum of two real numbers is -6. Calculate their values if their product is a maximum.
(answered by edjones)
The sum of two numbers is 36. Find the numbers such that their product is a... (answered by stanbon)