Question 977354
{{{n<0}}};


{{{5(n)^2=48+n}}}
{{{5n^2-n-48=0}}}
Try to factor if you can.


Discriminant, {{{(-1)^2-4*5*(-48)}}}
{{{1+20*48}}}
{{{961}}}
{{{31^2}}}


{{{n=(1+- 31)/10}}}
The negative value is wanted.
{{{highlight(n=-3)}}}