Question 434925
call the consecutive integers {{{n}}} and {{{n+1}}}
given:
{{{ n^2 = n + 1 + 10 }}}
{{{ n^2 = n + 11 }}}
{{{ n^2 - n = 11 }}}
{{{ n^2 - n + (1/2)^2 = 11 + (1/2)^2 }}}
{{{  n^2 - n + 1/4 = 44/4 + 1/4 }}}
{{{ ( n - 1/2)^2 = 45/4 }}}
{{{ n - 1/2 = 3*sqrt(5)/2 }}}
{{{ n = (1 + 3*sqrt(5))/2 }}}
I can't make any sense of the problem.
Was it copied right?