The discriminant of a quadratic equation is:
[tex]b^2-4ac[/tex]
Plug in the values.
[tex]3^2-4(2)(10)[/tex]
[tex]=9-80[/tex]
[tex]=-71[/tex]
Since the discriminant is negative, you can tell that the quadratic has no real solutions.
Hope that helped!
~Cam943, Moderator