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AP EAMCET202123 Aug 2021Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

Solve the following equation x+ 3 x= 2

Options

  1. Ax=2 n + 6 4
  2. Bx=2 n + 6 3
  3. Cx=0
  4. Dx=2 n + 6 2

Correct answer

A. x=2 n + 6 4

Step-by-step solution

x+ 3 x= 2 x= 2 - 3 x On squaring both sides, ^2 x=2+3 ^2 x-2 6 x 1- ^2 x=2+3 ^2 x-2 6 x 4 ^2 x-2 6 x+1=0 ...(i) x= 2 6 24-16 2 4 = 2 6 2 2 8 x= 6 2 4 = ( 6 4 ) x=2 n + 6 4

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