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AP EAMCET201922 Apr 2019Morning ShiftMathematicsTrigonometric EquationsActual

The number of real values of (x [0,2 ]- 2 , 3 2 ) satisfying the equation (| x|^ 2 ^2 x-3 x+1 =1 ), is

Options

  1. A3
  2. B4
  3. C5
  4. D6

Correct answer

C. 5

Step-by-step solution

Given that, ( gathered | x|^ 2 ^2 x-3 x+1 =1 | x|=1 or 2 ^2 x-3 x+1=0 x= 1 or (2 x-1)( x-1)=0 x=0, , 2 or x= 1 2 or x=1 x=0, , 2 or x= 6 , 5 6 or x= 2 x=0, , 2 , 6 , 5 6 [ x [0,2 ]- ( 2 , 3 2 ) ] gathered ) ( ) The number of real values of (x ) is 5.

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