Question 324646
{{{n(n+1)=55+n+n+1}}}
{{{n^2+n=2n+56}}}
{{{n^2-n-56=0}}}
{{{(n+7)(n-8)=0}}}
Two solutions:
{{{n+7=0}}}
{{{ n=-7}}}
Then the integers are {{{-7}}} and {{{-6}}}.
Verify
{{{(-7)(-6)=55-7-6}}}
{{{42=48-6}}}
{{{42=42}}}
True
.
.
.
{{{n-8=0}}}
{{{n=8}}}
Then the integers are {{{8}}} and {{{9}}}.
Verify
{{{8*9=55+8+9}}}
{{{72=63+9}}}
{{{72=72}}}
True