Question 16287
Solve:

{{{(1 - x)/x = x}}} Multiply both sides by x
{{{1-x = x^2}}} Add x to both sides.
{{{1 = x^2 + x}}} Subtract 1 from both sides.
{{{0 = x^2 + x - 1}}} Solve this quadratic equation using the quadratic formula: {{{x = (-b+-sqrt(b^2 - 4ac))/2a}}}

{{{x = (-1 +-sqrt(1^2 - 4(1)(-1)))/2(1)}}}
{{{x = (-1+-sqrt(5))/2}}}
x = {{{-1/2}}}+ or -{{{(1/2)sqrt(5)}}}