SOLUTION: The sum of the squares of two consecutive numbers is 29. Find the integers.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of the squares of two consecutive numbers is 29. Find the integers.      Log On


   

Question 256440: The sum of the squares of two consecutive numbers is 29. Find the integers.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
n^2+(n+1)^2=29
n^2+n^2+2n+1=29
2n^2+2n-28=0
n^2+n-14=0
0^2+1^2=1
1^2+2^2=5
2^2+3^2=13
3^2+4^2=25
4^2+5^2=41
We are past 29.
There are no consecutive integers whose squares add up to 29.