Question

find two even integers(numbers) so that the square of the smaller is 10 more than the larger one

Answer 1

let m = 2k
m^2 = 4k^2

Any k will work:

k m n
0 0 -10
1 2 -6
2 4 6
3 6 26
...
Unless you have some further conditions, there are infinitely many solutions.