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Mathematics
Mathematics
Problem
In the expansion of
(
3
−
x
/
4
+
3
5
x
/
4
)
n
(3^{-x/4} + 3^{5x/4})^n
(
3
−
x
/4
+
3
5
x
/4
)
n
, if the sum of binomial coefficients is 64 and the term with the greatest binomial coefficient exceeds the third by
(
n
−
1
)
(n-1)
(
n
−
1
)
, find the value of
x
x
x
.
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