QJEEM19Ma23d6: JEE Main 2019 Mathematics - Class 11 JEEM19Ma23d6 Solution: The sum of the real values of x for which the middle term in…

Question

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The sum of the real values of x for which the middle term in the binomial expansion of

{(\frac{x^{3}}{3} + \frac{3}{x})}^{8}

equals 5670 is :

Accepted Answer

T_{5} =^{8} C_{4} \frac{x^{12}}{81} \times \frac{81}{x^{4}} = 5670

\Rightarrow 70 x^{8} = 5670

\Rightarrow x = \pm \sqrt{3}

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