If 2^x + 2^y = x^2 + y^2, where x and y are non negative and non zero integers, what is the greatest possible value of x + y possible from options below?	Choose the correct choice from the following options:	A) 4	B) 5	C) 2	D) 3	E) none of these
x + y for x and y 2^x + 2= 
<gadget id="calculator">+ 2</gadget>
<output>2</output>
x^2 + y^2   A. x= y x=y=2 4 + 4 = 4 + 4 right   B. x=2, y=3 4 + 8 = 4 + 9 wrong   C. x=1, y=1 2 + 2 = 1 + 1 wrong   D. x=2, y =1 4 + 2 = 4 + 1 wrong   E. as option 4 is correct E is wrong   My answer is 4.
<result>A</result>
If 2^x + 2^y = x^2 + y^2, where x and y are non negative and non zero integers, what is the greatest possible value of x + y possible from options below?