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about to only mathematics

A

2

B

3

C

6

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `z^(3)+(3(barz)^(2))/(|z|)=0`
Let `z=re^(itheta)`
`rArr r^(3)e^(i3theta)+3re^(-2theta)=0`
Since r cannot be zero, so
`re^(i5theta)=-3`
Which will hold for r = 3 and five values of `theta`. Thus, there are five solution.
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