Using the quadratic formula, we have:
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
where $a = 3$, $b = -11$, and $c = -8$.
$x = \frac{11 \pm \sqrt{(-11)^2 - 4(3)(-8)}}{2(3)}$
$x = \frac{11 \pm \sqrt{121 + 96}}{6}$
$x = \frac{11 \pm \sqrt{217}}{6}$
The exact values are
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