If \omega is a complex cube root of unity and x=\omega^2- \omega-2, then what is the value of x^2+4 x+7 ?

UPSC NDA I 2010 Mathematics Paper

Question : 117 of 120

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If ω is a complex cube root of unity and x=ω2− ω−2, then what is the value of x2+4x+7 ?

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