Question 401097
The equation will not factor so we must use the Quadratic Formula (or complete the square):
{{{x = (-(-1) +- sqrt((-1)^2 - 4(1)(-1)))/2(1)}}}
which simplifies as follows:
{{{x = (-(-1) +- sqrt(1 - 4(1)(-1)))/2(1)}}}
{{{x = (-(-1) +- sqrt(1 +4))/2(1)}}}
{{{x = (-(-1) +- sqrt(5))/2(1)}}}
{{{x = (1 +- sqrt(5))/2}}}
In long form this is:
{{{x = (1 + sqrt(5))/2}}} or {{{x = (1 - sqrt(5))/2}}}