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(D) Given that $\alpha$ and $\beta$ are the roots of $ax^2 + bx + c = 0$.From the properties of roots,we have $\alpha + \beta = -\frac{b}{a}$ and $\al

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$-\frac{2}{a}$

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(D) Given that $\alpha$ and $\beta$ are the roots of $ax^2 + bx + c = 0$.From the properties of roots,we have $\alpha + \beta = -\frac{b}{a}$ and $\alpha\beta = \frac{c}{a}$.Also,since $\alpha$ and $\beta$ satisfy the equation,$a\alpha^2 + b\alpha + c = 0 \implies a\alpha + b = -\frac{c}{\alpha}$ and $a\beta + b = -\frac{c}{\beta}$.Substituting these into the expression:$\frac{\alpha}{a\beta + b} + \frac{\beta}{a\alpha + b} = \frac{\alpha}{-c/\beta} + \frac{\beta}{-c/\alpha} = -\frac{\alpha\beta}{c} - \frac{\beta\alpha}{c} = -\frac{2\alpha\beta}{c}$.Substituting $\alpha\beta = \frac{c}{a}$:$-\frac{2(c/a)}{c} = -\frac{2}{a}$.

If $\alpha$ and $\beta$ are the roots of the equation $ax^2 + bx + c = 0$,then $\frac{\alpha}{a\beta + b} + \frac{\beta}{a\alpha + b} = $

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