How many ordered pairs of real numbers (x, y) are there such that x^{2}+y^{2}=200 and
\sqrt{(x-5)^{2}+(y-5)^{2}}+\sqrt{(x+5)^{2}+(y+5)^{2}}
is an integer?
How many ordered pairs of real numbers (x, y) are there such that x^{2}+y^{2}=200 and
is an integer?