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Manipal MET2011MathematicsTrigonometric Equations

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

Options

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

Correct answer

C. 6

Step-by-step solution

Given, 3 ^2 x-7 x+2=0 (2 x-1)( x-2)=0 x= 1 3 ( x 2) Let ⁻¹ 1 3 = , 0 2 are the solutions in [0,5 ] . Then, , - , 2 + , 3 - , 4 + , 5 - are the. solutions.

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