Answer
$x\approx -2.108 \text{ and } x\approx 2.608$
Refer to the graph below.
Work Step by Step
Subtract $11$ from each side of the equation to obtain:
\begin{align*}
2x^2-x-11&=11-11\\
2x^2-x-11&=0\\
\end{align*}
Use a graphing calculator to graph $y=2x^2-x-11$.
(Refer to the graph below.)
The $x$-coordinate of the point/s where the graph crosses the $x$-axis ($x$-intercepts) are the solutions to the given equation.
The graph crosses the $x$-axis at approximately $-2.108$ and $2.608$.
Thus, the approximate solutions of the given equation are $x=-2.108$ and $x=2.608$.
