+0  
 
+1
96
1
avatar

 

There are exactly four positive integers n such that

\( \frac{(n + 1)^2}{n + 23}\ \)

is an integer. Compute the largest such n.

Guest Aug 8, 2017
edited by Guest  Aug 8, 2017
Sort: 

1+0 Answers

 #1
avatar
0

By simple iteration the 4 values of n are:

21, 98, 219, 461. Therefore the largest n = 461

Guest Aug 9, 2017

17 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details