The sum of two nonnegative numbers is 20. Find the numbers if(adsbygoogle = window.adsbygoogle || []).push({});

a. the sum of their squares is as large as possible; as small as possible

b. one number plus the square root of the other is as large as possible; as small as possible.

a. x+y = 20

x^2 +y^2 = N

(20-y)^2 + y^2 = N

-40 + 4y = N'

y=10

Does y=10 make large or small????

~Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Sum of two nonnegative numbers optimization

**Physics Forums | Science Articles, Homework Help, Discussion**