One solution for the equation would be x = 9 & y = 1
When x will increase y will decrease and their values will be
x = 9, 28, 47, 66, ...
y = 1, -4, -9, -14, ...
So, the value of y in case of negative integers will always end in 4 or 9. This eliminates option (d)
There will be a solution for x = 256 & y = -64.
This eliminates B & C and makes option (A) no solution for x < 300 and y < 0 as the answer.