[tex]2x^2 + x + 2 = 0[/tex]
[tex]x = \dfrac{1}{8}(-1 \pm \sqrt{1- 4(2)(2)})= \dfrac{-1 \pm \sqrt{-15}}{8}[/tex]
[tex]x = \dfrac{-1 \pm i\sqrt{15}}{8}[/tex]
Two solutions, complex conjugates.