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COMEDK2014MathematicsTrigonometric Equations

The number of values of x in [0,2 ] satisfying the equation 3 2 x-10 x+7=0 is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

D. 4

Step-by-step solution

Given, 3 2 x-10 x+7=0 aligned & 6 ² x-10 x+4=0 & 2(3 x-2)( x-1)=0 & [ 2 x=2 ² x-1 ] aligned Hence, x is positive in Ist and IVth quadrants. Hence, the total number of solutions is 4 .

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