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x3+x2−5x−1=0\large{x^3+x^2-5x-1=0}x3+x2−5x−1=0
Let α,β,γ\alpha,\beta,\gammaα,β,γ be the roots of the equation above.
Evaluate ⌊α⌋+⌊β⌋+⌊γ⌋\left\lfloor \alpha \right\rfloor +\left\lfloor \beta \right\rfloor +\left\lfloor \gamma \right\rfloor ⌊α⌋+⌊β⌋+⌊γ⌋.
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x3+x2−5x−1=0