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