Question 1061153
integer one is x integer two is x+2
Their squares are x^2 and (x+2)^2
The sum is 2x^2+4x+4=202
2x^2+4x+2=202
2x^2+4x-198=0
x^2+2x-99=0
(x+11)(x-9)=0
9 and -11 work
but -9 and -11 also work.  Those are the integers, and the sum of their squares is 81+121=202.