Let \( \alpha, \beta \) be the roots of the equation \( x^{2}+a x+b...

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Let \( \alpha, \beta \) be the roots of the equation \( x^{2}+a x+b=0 \) and \( \gamma, \delta \) be the roots of \( x^{2}-a x+b-2=0 \). If \( \alpha \beta \gamma \delta= \) 24 and \( \frac{1}{\alpha}+\frac{1}{\beta}+\frac{1}{\gamma}+\frac{1}{\delta}=\frac{11}{5} \), then find the value of \( a \).
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