Question 175092
{{{n + n^2 = 56}}}
{{{n^2 + n + (1/2)^2 = (1/2)^2 + 56}}}
{{{(n + (1/2))^2 = 1/4 + 224/4}}}
{{{n + 1/2 = 15/2}}}
{{{n = 14/2}}}
{{{n = 7}}}
and also
{{{n + 1/2 = -(15/2)}}}
{{{n = -(16/2)}}}
{{{n = -8}}}
check answers:
{{{n + n^2 = 56}}}
{{{7 + 49 = 56}}}
{{{56 = 56}}}
OK
{{{n + n^2 = 56}}}
{{{-8 +(-8)^2 = 56}}}
{{{-8 + 64 = 56}}}
{{{56 = 56}}}
OK