Question 16271
{{{((1-x)/(x))=x}}} ------------>Multiply by x
{{{1-x=x^2}}}
{{{x^2+x-1=0}}}
{{{x^2+x=1}}}
{{{x^2+x+1/4=1+1/4}}}
{{{(x+1/2)^2=5/4}}}
{{{x+1/2=sqrt(5/4)}}} or {{{x+1/2=-sqrt(5/4)}}}
{{{x+1/2=(1/2)*sqrt(5)}}} or {{{x+1/2=-(1/2)*sqrt(5)}}}
{{{x=(1/2)*sqrt(5)-1/2}}} or {{{x=-(1/2)*sqrt(5)-1/2}}}
{{{x=(1/2)(sqrt(5)-1)}}} or {{{x=-(1/2)(sqrt(5)+1)}}}