Answer
$x=3.65,-1.65$
Work Step by Step
Consider the expression: $f(x)=x^2-2x-1=5$
Compare it with the standard form of quadratic equation $ax^2+bx+c$, we have $a=1, b=-2$
To complete the square, add $1$ on both sides.
$x^2-2x-1+1=5+1$
$x^2-2x+1=5+1+1$
$\implies (x-1)^2=7$
$\implies (x-1)=2.65$
and
$\implies (x-1)=-2.65$
or, $x=3.65,-1.65$