Use Quadratic Formula:
[tex]x = \frac{-b+or- \sqrt{(b) ^{2}-4ac } }{2a} [/tex]
a = 3; b = -2; c=2
[tex]x = \frac{-(-2)+or- \sqrt{(-2) ^{2}-4(3)(2) } }{2(3)} [/tex]
[tex]x = \frac{2+or- \sqrt{4-24} }{6} [/tex]
[tex]x= \frac{2+or- \sqrt{20} }{6} [/tex]
[tex]x= \frac{2+or- \sqrt{(4)(5)} }{6} [/tex]
[tex]x= \frac{2+or- 2\sqrt{5} }{6} [/tex]
The roots are:
[tex]x = \frac{1}{3} + \frac{1}{3} \sqrt{5} i[/tex]
[tex]x= \frac{1}{3} - \frac{1}{3} \sqrt{5} i[/tex]