If both $n$ and $\sqrt{n^2+204n}$ are positive integers, find the maximum value of $𝑛$.

If both $n$ and $\sqrt{n^2+204n}$ are positive integers, find the maximum value of $n$. 

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer
Erdos Erdos
Judge
The answer is accepted.
Join Matchmaticians Affiliate Marketing Program to earn up to 50% commission on every question your affiliated users ask or answer.