$$\left. \begin{array} { l } { \sqrt { x ^ { 2 } + 3 x + 8 } + \sqrt { x ^ { 2 } + 3 x + 2 } = 3 } \end{array} \right.$$
$x=\frac{\sqrt{2}-3}{2}\approx -0.792893219$
$x=\frac{-\sqrt{2}-3}{2}\approx -2.207106781$