Answer
$x=-2.05$, $0.00$, and $1.05$
Work Step by Step
Given equation-
$x(x-1)(x+2)$ = $\frac{1}{6}x$
i.e. $x(x-1)(x+2)$ - $\frac{1}{6}x$ =$0$
We are asked to find all real solutions of this equation.
Graphing y= $x(x-1)(x+2)$ - $\frac{1}{6}x$, using graphing calculator-
We get three x−intercepts, i.e. $x=-2.0546$, $x=0$, and $x=1.0546$
Therefore $x=-2.05$, $0.00$, and $1.05$
(Rounded to two decimals)
