Question 678431
2x = {{{(x+1)/(x-1)}}}
...
x = {{{((x+1)/(x-1))/2}}}
...
x = {{{((x+1)/(x-1))(1/2)}}}
...
x = {{{(x+1)/(2(x-1))}}}
...
x = {{{(x+1)/(2x-2)}}}
...
Cross multiplty
x(2x-2) = x+1
{{{2x^2 - 2x = x+1}}}
{{{2x^2 - 2x - x - 1 = 0}}}
{{{2x^2 - 3x - 1 = 0}}}
Applying Quadratic
x = {{{(-(-3) +- sqrt(-3^2 - 4(2)(-1)))/(2*2)}}}
x = {{{(3 +- sqrt(9+8))/4}}}
x = {{{(3+-sqrt(17))/4}}}
...
{{{highlight_green(x=(3-sqrt(17))/4)}}} = -.2807764...
AND
{{{highlight_green(x=(3+sqrt(17))/4)}}} = 1.7807764...
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