Raising The Power of α\alpha

Algebra Level 4

If α\alpha is a real root of the equation
x5x3+x2=0x^{5} - x^{3} + x- 2 = 0
Evaluate α6\lfloor {\alpha}^6 \rfloor

Details And Assumptions

n\lfloor n \rfloor denotes the greatest integer less than or equal to nn.

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