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If $\alpha, \beta, \gamma$ are the roots of $x^3-2 x^2+4 x-1=0$ then the equation having the roots $\beta \gamma+\frac{1}{\alpha}, \alpha \beta+\frac{1}{\gamma}, \gamma \alpha+\frac{1}{\beta}$ is
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The correct answer is:
$x^3-8 x^2+8 x-8=0$
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