\[\large 8x^2-9x=(x+1)(4\sqrt{x}+\sqrt[3]{22x-8})\]
Let the sum and product of all the roots of the above equation be \(A\) and \(B\) respectively. Compute \[\left \lfloor \frac{(A+B)^{A+4B}}{A-B} \right \rfloor . \]

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