The sum of the real values of x for which the middle term in the binomial expansion of {\left( {{{{x^3}} \over 3} + {3 \over x}} \right)^8} equals 5670 is :

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Answer: A. 0 {T_5} = {}^8{C_4}{{{x^{12}}} \over {81}} 	imes {{81} \over {{x^4}}} = 5670 \Rightarrow 70{x^8} = 5670 \Rightarrow x = \pm \sqrt 3

The sum of the real values of x for which the middle term in the binomial expansion of $${\left( {{{{x^3}} \over 3} + {3 \over x}} \right)^8}$$ equals 5670 is :

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Explanation

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