Question

X^2 -2x -1 = 0 Pls help...show work and the answer

Answer 1

$x^2-2x-1=x^2-2x+1-2=(x-1)^2-2=0$

Solve for $x$:

$(x-1)^2-2=0$
$(x-1)^2=2$
$x-1=\pm\sqrt2$
$x=1\pm\sqrt2$