Answer
$$x \approx -1.732 \text{ and } x\approx 4.732$$
Work Step by Step
Subtract $6$ from each side of the equation to obtain:
\begin{align*}
x^2-3x-6&=6-6\\
x^2-3x-6&=0\\
\end{align*}
Use a graphing calculator to graph $y=x^2-3x-6$.
(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 $-1.372$ and $4.372$.
Thus, the approximate solutions of the given equation are $x=-1.372$ and $x=4.372$.
