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Divisibility (Posted on 2004-01-06) Difficulty: 3 of 5
For how many natural numbers x, is the expression: (x ² + 2x + 3) divisible by 35 ?

See The Solution Submitted by Ravi Raja    
Rating: 2.5000 (6 votes)

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re: Solution | Comment 3 of 11 |
(In reply to Solution by Brian Smith)

Brian, you wrote:
" For any natural number x, (x^2+2x+3) mod 5 is congruent to 2, 3 or 4."

I'm not arguing with the statement, but I think you should show why this is true, to constitute a full solution.

-SK
  Posted by SilverKnight on 2004-01-06 11:38:28

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