Posted by David on Wednesday, April 10, 2013 at 9:58pm.
Two nonnegative numbers are chosen such that their sum is 30. Find the numbers if the sum of their squares is to be a maximum.
Explanation to solve this would help !

math  Steve, Thursday, April 11, 2013 at 5:25am
m+n=30
m^2+n^2 = m^2+(30m)^2 = 2m^2  60m + 900
Now, that's a parabola with vertex at (15,450)
Since the parabola opens upward, 450 is the minimum, and any maximum will be at the ends of the interval. We can't have m=0, so pick the numbers 1 and 29.
1^2+29^2 = 842
Answer This Question
Related Questions
 Math  The squares of a 3×3 grid are filled with nonnegative integers such that...
 math  The squares of a 3×3 grid are filled with nonnegative integers such that...
 Math (please help me Steve)  The squares of a 3×3 grid are filled with non...
 Math (please help steve)  The squares of a 3×3 grid are filled with non...
 Math  The sum of two numbers is five. The sum of the squares of the two numbers...
 math URGENT!!!!  i have a list of 5 different numbers. the sum of 2 of the ...
 math  Find two positive numbers whose sum is 50 such that the sum of their ...
 Math  The sum of two numbers is 37. The sum of their squares is 756.5. Find the...
 PreCalculus  If the sum of two numbers is 1 and the sum of the cubes of the ...
 math  The sum of two numbers is 10.The sum of their squares is 52.Find the ...
More Related Questions