The sum of the squares of two consecutive integers is 41. Find the integers.

Xsquared + (x+1) squared=41

xsquared + (x+1) (x+1) = 41

xsquared+xsquared+2x+1=41

2xsquared+2x+1=41

2squared+2x=40

xsquared+x=20

then, try 1,2, 3 and it works for 4, so the numbers are 4 & 5