If \( \alpha, \beta \) are the roots of the equation \( a x^{2}+b x+c=0 \), find the values of \...

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If \( \alpha, \beta \) are the roots of the equation \( a x^{2}+b x+c=0 \), find the values of \( \alpha^{4} \beta^{7}+\alpha^{7} \beta^{4} \)
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