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±√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