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Algebra Level 5

Let \[y=f(x)=\frac{2x^2+6\sqrt{(x^2+1)(x-2)}+5}{x^2+3x-4}\] Let the maximum value of this expression above is a and the value of x when the equality hold is b \[b_{1},b_{2},...,b_{n}\] Find \[a+(b_{1}\times b_{2}\times ...\times b_{n})\]

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