Individual Fractional Part of Roots!?

Algebra Level 2

x3x25x+1=0 x^3-x^2-5x+1=0

If the roots of the above equation are α\alpha, β\beta, and γ\gamma, find the value of {α}+{β}+{γ},\{\alpha\}+\{\beta\}+\{\gamma\}, where {}\{ \cdot \} denotes the fractional part function.

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