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The sum of the real values of $x$ for which the middle term in the binomial expansion of $\left(\frac{x^3}{3} + \frac{3}{x}\right)^8$ equals 5670 is:
(1) 0 (2) 6 (3) 4 (4) 8
$70x^8 = 5670$, $x^8 = 81$. Real roots: $\pm 3^{1/2}$, sum $= 0$.
BETA
