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Let x1, x2, be the roots of the quadrati...

Let `x_1, x_2,` be the roots of the quadratic equation `x^2 + ax + b = 0` and `x_3, x_4,` be the roots of the quadratic equation `x^2 - ax +b-2=0.` If `1/x_1+1/x_2+1/x_3+1/x_4=5/6` and `x_1x_2x_3x_4 = 24` then find the value of `a.`

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