In the expansion of

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

In the expansion of (3−x/4+35x/4)n(3^{-x/4} + 3^{5x/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) , find the value of xx .

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