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

 Oct 11, 2022
 #1
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First, notice that it is a right triangle, so x and y could be 7. You want x to be as close to y as possible to get the shape as close to a square as possible (since it is the optimal area), thus x and y are 3, 4 so x + y = 7

 Oct 11, 2022
 #2
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That answer is wrong.

Guest Oct 16, 2022

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