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MHT CET202416 May 2024Morning ShiftMathematicsTrigonometric EquationsActual

The number of values of x in the interval (0,5 ) satisfying the equation 3 ^2 x-7 x+2=0

Options

  1. A0
  2. B5
  3. C6
  4. D10

Correct answer

C. 6

Step-by-step solution

aligned & 3 ^2 x-7 x+2=0 & 3 ^2 x-6 x- x+2=0 & 3 x( x-2)-( x-2)=0 & (3 x-1)( x-2)=0 & x= 1 3 or 2 & x= 1 3 aligned .[ x 2] Let ⁻¹ 1 3 = , 0 2 are the solutions in [0,5 ] . Then, , - , 2 + , 3 - , 4 + , 5 - are the solutions in [0,5 ] . number of solutions =6

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