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Which of the following sets can be the subset of the general solution of the equation 1+ 3 x=2 2 x ?

Options

  1. An + 3
  2. Bn + 6
  3. Cn - 6
  4. D2 n

Correct answer

D. 2 n

Step-by-step solution

aligned & 1+4 ^3 x-3 x=2 (2 ^2 x-1 ) & 4 ^3 x-4 ^2 x-3 x+3=0 & let x=t aligned aligned & 4 t^3-4 t^2-3 t+3=0 & 4 t^2(t-1)-3(t-1)=0 & (t-1) (4 t^2-3 )=0 aligned t=1 or t^2= 3 4 x=1 or ^2 x= 3 4 x=1 or ^2 x= ^2 6 x=2 n or x=n 6

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