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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!

 

smileyblush

 Feb 22, 2021
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Optimize by having x > 0 and y > 0.

 

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

 Feb 23, 2021

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