Question 1061060
Let the three numbers be N-1, N, and N+1.
{{{(N-1)^2=N(N+1)-65}}}
{{{N^2-2N+1=N^2+N-65}}}
{{{-3N=-66}}}
{{{N=22}}}
So the numbers are 21,22, and 23.
Verifying,
{{{21^2=22*23-65}}}
{{{441=506-65}}}
{{{441=441}}}
True, good solution.