what would x be if x2 − 2x − 2 = 0?

x^2 − 2x − 2 = 0

This won't factor...using the onsite calculator (and the quadratic formula)....we have....

$${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{1}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{3}}}}\\
{\mathtt{x}} = {\sqrt{{\mathtt{3}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{0.732\: \!050\: \!807\: \!568\: \!877\: \!3}}\\
{\mathtt{x}} = {\mathtt{2.732\: \!050\: \!807\: \!568\: \!877\: \!3}}\\
\end{array} \right\}$$

x=2 

x2-2x-2=0

+2x +2x

x -2=0

+2

x=2