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If \( z+\frac{1}{z}+1=0 \), then \( z^{2003}+\frac{1}{z^{2003}} \) is equal to

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in Complex number and Quadratic equations by (15 points)
If \( z+\frac{1}{z}+1=0 \), then \( z^{2003}+\frac{1}{z^{2003}} \) is equal to
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1 Answer

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\(Z+\frac{1}{Z}+1=0\)

⇒ \(Z+\frac{1}{Z}=-1\)

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