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

−b±√b2−4ac

2a

=

−1±√(1)2−4×2×1

2×2

=

−1±√1−8

4

=

−1±√−7

4

=

−1±√7i

4

∴ Roots of the given equation are

−1+√7i

4

and

−1−√7i

4