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Question

The sum of the real values of x for which the middle term in the binomial expansion of (x33+3x)8 equals 5670 is :
  1. 0
  2. 4
  3. 6
  4. 8


Solution

The correct option is A 0
5th term will be the middle term in the expansion of the given expression.
T4+1= 8C4(x33)4(3x)4=5670

x8×8×7×6×54×3×2=5670
x8=81
x=±3
Sum =0

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