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Let alpha, beta be the roots of the equa...

Let `alpha, beta` be the roots of the equation `x^2+ax+b=0` and `gamma,delta` be the roots of `x^2-ax+b-2=0` lf `alphabetagammadelta=24` and `1/alpha+1/beta+1/gamma+1/delta=5/6`, then find the value of a.

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