Please help me with this problem!!

There are \(12\) ordered pairs of integers \((x,y)\) that satisfy \(x^2+y^2=25\). What is the greatest possible sum \(x+y\)?

Thank you soo much for any help!

Guest Feb 22, 2021

#1**0 **

Optimize by having x > 0 and y > 0.

The pairs that work are (4, 3) and (3, 4) with a sum of **7.**

CubeyThePenguin Feb 23, 2021