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If z^2+z+1= 0 where z is a complex numbe...

If `z^2+z+1= 0` where z is a complex number, then the value of `(z+frac{1}{z})^2+(z^2+frac{1}{z^2})^2+(z^3+frac{1}{z^3})^2` equals

A

4

B

5

C

6

D

7

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