Question

One of the solutions of equation z^3=w is z1=-5*3^0.5+5i . What is one of other two solutions ifw is a complex number?

Answer 1

Step-by-step explanation:

z

3

+ w

7

= 0

⇒ z

3

=−w

7

-(1)

z

5

w

11

=1

⇒ z

5

=

w

11

1

-(2)

Dividing (2) by (1),

z

2

= −

w

18

1

=−1 ...(since w

3

= 1)

⇒z=

−1

⇒z=+i