If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^{3}-p x^{2}+r=0 \), find the e...

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If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^{3}-p x^{2}+r=0 \), find the equation whose roots are \( \frac{\beta+\gamma}{\alpha}, \frac{\gamma+\alpha}{\beta}, \frac{\alpha+\beta}{\gamma} \).
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