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Integer Divisibility Dilemma II (Posted on 2014-05-22) Difficulty: 3 of 5
Given that n is an integer, what are the values of n for which n2 - 17 is divisible by 5n+33?

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re(2): answers first | Comment 3 of 6 |
(In reply to re: answers first by broll)

Was iust about to post it:   -7 and -73.

To sum up:

if n*n-17= a*(5*n+33)
for a=1        n =-5,    n=10
for a=-16    n =-7,    n=-73.

Edited on May 22, 2014, 10:32 am
  Posted by Ady TZIDON on 2014-05-22 10:24:15

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