perplexus.info :: Just Math : Integer Divisibility Dilemma II

Integer Divisibility Dilemma II (Posted on 2014-05-22)

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)

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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)

then

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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