What is the discriminant for x^2-x+2=0

First you need to plug in to the formula b^2 - 4ac (part of the quadratic formula).

In this trinomial, a = 1, b = - 1, and c = 2.

(-1) ^2 - 4 (1) (2)

1 - 8

The discriminant of this polynomial is - 7. This tells us that it will have complex roots.