We have , x2 - x + 2 = 0
Comparing the given equation with the general form ax2 + bx + c = 0,
we get a = 1, b = –1, c = 2.
∴ x =

−b±√b2−4ac

2a

=

1±√(−1)2−4×1×2

2

=

1±√1−8

2

=

1±√−7

2

=

1±i√7

2

∴ The roots of the given equation are

1+i√7

2

and

1−i√7

2