An algebra problem by Akshat Sharda

Algebra Level 5

log2(α12+β12+γ12+δ12)\log_{2}(\alpha^{12}+\beta^{12}+\gamma^{12}+\delta^{12})

Given that α,β,γ\alpha,\beta,\gamma and δ\delta are the roots of the equation x4+4x+4=0x^4+4x+4=0. Find the value of the expression above.

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