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KVPY 2015 #1

Algebra Level 4

If z is a complex number satisfying $\displaystyle | z^3 + z^{-3} | \leq 2$ , then maximum possible value of $\displaystyle | z + z^{-1}|.$

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2

\sqrt[3]2

2\sqrt2

1

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by Akhil Bansal

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