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Yes I have a doud if z^2+z+1=0 then find the value of (z^2+1/z^2)+(z^4+1/z^4)+....(z^6+1/z^6)=?

Yes I have a doud if z^2+z+1=0 then find the value of (z^2+1/z^2)+(z^4+1/z^4)+....(z^6+1/z^6)=?

Grade:12th pass

1 Answers

Anish Singhal
askIITians Faculty 1192 Points
5 years ago
Answer is 0, put z=w(complex cube root of unity)

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