We have,

Now, in order to solve the equation we have to compare this with ax² + bx + c = 0 where a = 27, b = - 10 and c = 1

Thus, the discriminant of the above given equation is:

D = b² – 4ac

= (- 10)² – 4 × 27 × 1

= 100 – 108

= - 8

Hence, the required solutions are:

=

=

=