For a non real root $z$ of the equation $z^4+z^2+1=0$, the value of…

For a non real root $z$ of the equation $z^4+z^2+1=0$, the value of $\left(z+\frac{1}{z}\right)^3+\left(z^2+\frac{1}{z^2}\right)^2+\left(z^3+\frac{1}{z^3}\right)^3$
  1. -6
  2. 3
  3. -8
  4. 8

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (26 Apr Shift 2)

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