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AP EAMCET202419 May 2024Evening ShiftMathematicsTrigonometric EquationsActual

The general solution of 2 ^2 x-2 x+1=0 is

Options

  1. An + 4 , n Z
  2. B2 n 4 , n Z
  3. C2 n 3 , n Z
  4. Dn 3 , n Z

Correct answer

A. n + 4 , n Z

Step-by-step solution

Given, 2 ^2 x-2 x+1=0 aligned & 2 ^2 x-1-2 x+2=0 & 2 x=2( x-1) 1- ^2 x 1+ ^2 x =2( x-1) aligned 1+ x=-2 (1+ ^2 x ) ( if x-1 0) 2 ^2 x+ x+3=0 Since, 1-4 2 3 0 , So, x does not exists If x-1=0 x= 4 +n .

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