Find 2 positive numbers whose sum is 100 and the sum of whose squares is a minimum. Also, find the minimum sum.(adsbygoogle = window.adsbygoogle || []).push({});

I'm not sure how to write mine, but I just tested 99^2 + 1^2 = 9802

then I tested 50^2 + 50^2 = 5000, so obviously its 50 and 50. Also, I don't understand "find the minimum sum", is it just 50 + 50?

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

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!

# Modeling with functions

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