Find $n$ if $\sqrt{n^{2} - 11} = 5$.

Find $n$ if $\sqrt{n^{2} - 11} = 5$.
  1. $6$
  2. $7$
  3. $8$
  4. $5$

Solution

$n^{2} - 11 = 25 \Rightarrow n^{2} = 36 \Rightarrow n = 6$.

Asked in: IMO

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