Answer
$$4.45, \ or, \ -0.45 .$$
Work Step by Step
For the equation $x^2 -4x-2 = 0$, we use the quadratic formula as follows $$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=1, \quad b=-4, \quad c=-2 .$$ That is, $$ x=\frac{4 \pm \sqrt{16+8}}{2 }=4.45,\ or, \ -0.45 .$$