Hi Marlin,
When x and y are integers,
(x2 - y2) = (x + y)(x - y) = an odd no. OR a no. divisible by 4.
But here the given no. 435678902 is neither odd nor a multiple of 4.
SO : No. of integral solutions for 'x' and 'y' = 0
If my answer is wrong, pleazz let me know my mistakes.
If right, rate me yaar........