# \alpha, \beta, \gamma

Algebra Level 2

If $$\alpha, \beta, \gamma$$ are such that$$\alpha + \beta + \gamma = 2$$, $$\alpha^2 + \beta^2 + \gamma^2 = 6$$, $$\alpha^3 + \beta^3 + \gamma^3 = 8$$, then what is the value of $$\alpha^4 + \beta^4 + \gamma^4$$?

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