Find the non real roots of the following equation.

Question

Find the non real roots of the following equation.

   

x=

a=

b=

c=

d=

Answer 1

factor x^3 -27 = x^3 -3^3

(x-3)(x^2 +3x(3) + 3^2) = (x-3)(x^2+3x +9)

set each factor =0

x=3 and

x = -3/2 + or - (1/2)sqr(9-36) = -1.5 as the one real root

and -1.5 + or - (i/2)sqr27 as the 2 imaginary roots