#### Answer

Discriminant: $-23$;
Roots/solutions: Two imaginary numbers which will be complex conjugates of one another.

#### Work Step by Step

Let us determine the discriminant of the quadratic equation $2x^2+x+3=0$
which can be calculated as: $D=b^2-4ac=1-24=-23$
This implies that $D$ represents a negative real number and with solution of two imaginary numbers.
Hence, our answer is:
Discriminant: $-23$;
Roots/solutions: Two imaginary numbers which will be complex conjugates of one another.