Solving $x^2 - x - 1 > 0$ I am having problems understanding how to solve:
$ x^2 - x - 1 > 0 $.
Any help would be much appreciated.

Since $x^2-x-1=\left(x-\frac{1}{2}\right)^2-\frac{5}{4}$ we must have $|x-\frac{1}{2}|>\frac{\sqrt{5}}{2}$ so $x<\frac{1-\sqrt{5}}{2}$ or $x>\frac{1+\sqrt{5}}{2}$.
