If -1,α,α3,α5,¯¯¯¯α,¯¯¯¯¯¯α3,¯¯¯¯¯¯α5 are roots – InterviewSolution

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1.	If -1,α,α3,α5,¯¯¯¯α,¯¯¯¯¯¯α3,¯¯¯¯¯¯α5 are roots of the equation z7 + 1 = 0.Find the value of α¯¯¯¯α,α3¯¯¯¯¯¯α3,α5¯¯¯¯¯¯α5,α¯¯¯¯α + α3¯¯¯¯¯¯α3 + α5¯¯¯¯¯¯α5. ___
Answer» If -1, $α$ , $α^{3}$ , $α^{5}$ , $¯ ¯¯ ¯ α$ , $^{3}$ , $^{5}$ are roots of the equation $z^{7}$ + 1 = 0.Find the value of $α$ $¯ ¯¯ ¯ α$ , $α^{3}$ $^{3}$ , $α^{5}$ $^{5}$ , $α$ $¯ ¯¯ ¯ α$ + $α^{3}$ $^{3}$ + $α^{5}$ $^{5}$ . ___

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