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Maths-

General

Easy

Question

If z²+z+1=0 where z is a complex number, then value of $open parentheses z plus 1 over z close parentheses squared plus open parentheses z squared plus 1 over z squared close parentheses squared plus open parentheses z cubed plus 1 over z cubed close parentheses squared plus midline horizontal ellipsis times times plus open parentheses z to the power of 6 plus 1 over z to the power of 6 close parentheses squared$ is [ ]

54
6
12
18

The correct answer is: 6

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