Question 79243
how do i find two consecutive positive integers such that the sum of their squares is 85?

1- The perfect squares just before 85 are the following:
   4, 9, 16, 25, 36, 49, 64, 81

2- Looking at your numbers, you can add 36 and 49 to get 85.

3- The square root of 36 is 6 and the square root of 49 is 7. Therefore, two consecutive integers whose sum of their squares is 85 are 6 and 7.