Answer
Two positive roots:
$x=0.69459$, $x=3.06417$
Work Step by Step
By using the Maple program, we can graph the function $y=x^3-12x+8$ and calculate its roots by observing where the graph crosses the x-axis. We have two positive roots: $x=0.69459$, $x=3.06417$. See the graph below.