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The number of solutions of equation (4- 3 ) x-2 3 ^2 x=- 4 1+ 3 , x [-2 , 5 2 ] is

Options

  1. A4
  2. B3
  3. C6
  4. D5

Correct answer

D. 5

Step-by-step solution

aligned & (4- 3 ) x-2 3 ^2 x= -4 1+ 3 , x [-2 , 5 2 ] & (4- 3 ) x-2 3 (1- ^2 x )=2(1- 3 ) & 2 3 ^2 x+4 x- 3 x-2=0 & (2 x-1)( 3 x+2)=0 & x= 1 2 & Number of solution =5 aligned

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