Hey!
The difference between two numbers in 100. Find the numbers given that the square of the larger exceeds 5 times the square of the smaller by a maximum amount.
Any help is greatly appreciated!
Hello, Sculthorp!
The difference between two numbers is 100.
Find the numbers given that the square of the larger exceeds
5 times the square of the smaller by a maximum amount.
Let = the smaller number.
Then = the larger number.
The required difference is: .
. . So we have: .
And that is the function we must maximize.
Got it?