Question 312337
{{{N^2+(N+1)^2=85}}}
{{{N^2+(N^2+2N+1)=85}}}
{{{2N^2+2N+1=85}}}
{{{2N^2+2N-84=0}}}
{{{N^2+N-42=0}}}
{{{(N+7)(N-6)=0}}}
Only need the positive solution.
{{{ N-6=0 }}}
{{{ N=6}}}
6 and 7 are the integers.