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

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If \( \alpha, \beta \) are the roots of the equation \( a x^{2}+b x+c=0 \) and \( \gamma, \delta \) those of equation \( l x^{2}+m x+n=0 \), then find the equation whose roots are \( \alpha \gamma+\beta \delta \) and \( \alpha \delta+\beta \gamma \)
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