Question 1161298
{{{ x^2 - x - 1 = 0}}}....use quadratic formula

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

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

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

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

roots:  in exact form

{{{x = 1/2 + sqrt( 5)/2 }}}

{{{x = 1/2 -sqrt( 5)/2 }}}

or in decimal form:

{{{x = 1.62}}}

{{{x = -0.62 }}}