SOLUTION: Let S be the set of all integers that can be written as n2 + 1, where n is a nonzero integer. Which of the following integers is in S? 1 5 17 28 36

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Question 381013: Let S be the set of all integers that can be written as n2 + 1, where n is a nonzero integer. Which of the following integers is in S?
1
5
17
28
36
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
the list is :

1
5
17
28
36

if we sub 1, those have to be perfect nonzero squares. The list becomes :

0
4
16
27
35

only 4 and 16 are, hence only 5, and 17 are in S