Answer
$x=2.55$
Work Step by Step
Given equation-
$x^{3} - 2 x^{2} -x-1$ = $0$
We are asked to find all real solutions of this equation.
Graphing y= $x^{3} - 2 x^{2} -x-1$, using graphing calculator-
We get one x−intercept, i.e. $x=2.5468$
Therefore $x=2.55$ (Rounded to two decimals)