Question 974559
Which solutions cannot be used in the equation,  {{{(3x)/(x+1)=2x-1}}} ?


{{{3x=(2x-1)(x+1)}}}
{{{3x=2x^2-x+2x-1}}}
{{{2x^2+x-1=3x}}}
{{{2x^2-2x-1=0}}}


Looking for all solutions,
{{{x=(2+- sqrt(4+4*2*1))/4}}}
{{{x=(2+- sqrt(12))/4}}}
{{{x=(2+- 2sqrt(3))/4}}}
{{{x=1+- sqrt(3)/2}}}


No extraneous solutions.