Two notices regarding this problem.
1. The condition requires editing to make sense:
the sum of the squares of two different integers is 275 and twice their product is 210.
Find integers.
2. Let x and y be the integers. Then the problem says
= 275
2xy = 210.
Add the equations. you will get
= 275 + 210, or
= 485.
But there is NO such integers x and y giving = 485,
since the number 485 is not a square of an integer.
DIAGNOSIS : So the problem HAS NO solution, or, in other words, the posted problem is DEFECTIVE.
You simply stole my time by posting false problem.