Question 152845
Call the number N.
{{{N+1/N=10/3}}}
{{{3N+3/N=10}}}Multiply both sides by 3.
{{{3N^2+3=10N}}}Multiply both sides by N.
{{{3N^2-10N+3=0}}}Bring everything over to one side.
{{{(3N-1)(N-3)=0}}}Factor the quadratic equation.
First solution:
{{{(3N-1)=0}}}
{{{3N=1}}}
{{{highlight(N=1/3)}}}
Second solution:
{{{N-3=0}}}
{{{highlight(N=3)}}}