SOLUTION: Consecutive integers. Find three consecutive integers such that the sum of their squares is 77. Please show all work and solution. Thanks.

Algebra ->  Sequences-and-series -> SOLUTION: Consecutive integers. Find three consecutive integers such that the sum of their squares is 77. Please show all work and solution. Thanks.      Log On


   

Question 45574: Consecutive integers. Find three consecutive integers such that the sum of their squares is 77. Please show all work and solution. Thanks.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
integer = i
integer = i + 1
integer = i + 2
i%5E2+%2B+i%5E2+%2B+2i+%2B+1+%2B+i%5E2+%2B+4i+%2B+4+=+77
3i%5E2+%2B+6i+-+72+=+0
i%5E2+%2B+2i+-+24+=+0
%28i+%2B+6%29%28i+-+4%29+=+0
i = -6
-6,-5,-4
or
i = 4
4,5,6