Mathematical Enigma - XII

Algebra Level 4

Find the value of α5+β5+γ5{ \alpha }^{ 5 }+{ \beta }^{ 5 }+{ \gamma }^{ 5 }, where α,β,γ\alpha ,\beta ,\gamma are the roots of x3+3x+3=0{ x }^{ 3 }+3x+3=0.

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