What are two consecutive numbers, whose squares have a difference of 17?

Question

I need some help with this 6th Grade Singapore Math.  Doing Squares, Square Roots, Cubes and Cube Roots.  Any help with this one?  Need this one ASAP.  Test coming up and, (according to teacher) this will be one of the questions!  He said we could study it, (in any way we prefer) and remember it.

Answer 1

(n+1)^2 -n^2=17

n^2 +2n+1 -n^2=17

2n+1=17

2n=16

n=8

8^2=64

n+1=9, 9^2=81

81-64=17