You're not far off, Baseballpro.
Just be careful with your signs.
First compare your quadratic equation
\(\displaystyle \mbox{ x^2 - 2x - 1 = 0}\)
with
\(\displaystyle \mbox{ ax^2 + bx + c = 0}\)
So we have:
\(\displaystyle \mbox{ a = 1 }\) (you're good)
\(\displaystyle \mbox{ b = -2 }\) (the negative is attached)
\(\displaystyle \mbox{ c = -1 }\) (again, don't forget the negative sign)
Now plug these into the quadratic formula
\(\displaystyle \mbox{ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}}\)
to have:
\(\displaystyle \mbox{ x = \frac{-(-2) \pm \sqrt{(-2)^2 - (4)(1)(-1)}}{2(1)}}\)
Be careful with the signs to simplify:
\(\displaystyle \mbox{ x = \frac{2 \pm \sqrt{4 - (-4)}}{2}}\)
And continue.