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AP EAMCET202419 May 2024Evening ShiftMathematicsTrigonometric EquationsActual

The general solution of 4 2 x-4 3 2 x+ 3 x- 3 x+ x- 3 x =0

Options

  1. An 2 - 3
  2. Bn 2 + 6
  3. Cn 2 + 12
  4. Dn 2 - 12

Correct answer

C. n 2 + 12

Step-by-step solution

Given, 4 2 x-4 3 2 x+ 3 x- 3 3 x + x- 3 x=0 4 2 x-4 3 2 x+( 3 x+ x)- 3 ( 3 x+ x)=0 4 2 x-4 3 2 x+2 2 x x-2 3 2 x x=0 aligned & (2+ x)(2 2 x-2 3 2 x)=0 & 2 x= 3 2 x 2 x= 1 3 & 2 x= 6 +n x= 12 + n 2 aligned

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