# How do you solve  x^2-x-1=0?

$x = \frac{1}{2} \pm \frac{\sqrt{5}}{2}$
$x = \frac{1 \pm \sqrt{1 - 4 \left(1\right) \left(- 1\right)}}{2} = \frac{1 \pm \sqrt{5}}{2}$
$x = \frac{1}{2} \pm \frac{\sqrt{5}}{2}$