Question

Chris labels every lattice point in the coordinate plane with the square of the distance from the point to the origin (a lattice point is a point such that both of its coordinates are integers). How many times does he label a point with the number 25?

Answer 1

lattice point means the numbers are both integers, so there would be 4 of them namely
\[(5,5), (-5,5),(5,-5), (-5,-5)\]