Equality might be too hard part II

Algebra Level 5

8 x 2 9 x = ( x + 1 ) ( 4 x + 22 x 8 3 ) \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 A and B B respectively. Compute ( A + B ) A + 4 B A B . \left \lfloor \frac{(A+B)^{A+4B}}{A-B} \right \rfloor .


The answer is 40.

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