Question 882371
1/x-1/(x+1)=3|
Multiply both sides by {{{(x(x+1))}}}
{{{x+1-x=3x(x+1)}}}
{{{1=3x^2+3x}}}
{{{3x^2+3x-1=0}}}
{{{3(x^2+x)=1}}}
{{{3(x^2+x+1/4)=1+3/4}}}
{{{3(x+1/2)^2=7/4}}}
{{{(x+1/2)^2=7/12}}}
{{{x+1/2=0 +- sqrt(7/12)}}}
{{{x=-1/2 +- sqrt(7/12)}}}
{{{x=-1/2 +- sqrt(84)/12}}}
{{{highlight_green(x=-1/2 +- sqrt(21)/6)}}}