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The solution(s) of the equation 2 ₃(x-2)+ ₃(x-4)^2=0 , is/are

Options

  1. A3+ 2
  2. B3- 2
  3. C3
  4. D5

Correct answer

C. 3

Step-by-step solution

aligned & ((x-2)|x-4|)=0 & (x-2)|x-4|=1 aligned Case (I): x-4 0 aligned & (x-2)(x-4)=1 & x=3 2 & x 3- 2 & x=3+ 2 aligned aligned & Case (II): If, x-4 0 & -(x-2)(x-4)=1 & x=3 aligned

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