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If x0 x_0 x0 is the value of x x x such that the expression 20x+3+20−3x \sqrt{20x+3} + \sqrt{20-3x} 20x+3+20−3x attains its maximum over the reals, find ⌊104⋅x0⌋ \left \lfloor 10^4 \cdot x_0 \right \rfloor ⌊104⋅x0⌋.
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