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MHT CET202019 Oct 2020Morning ShiftMathematicsTrigonometric EquationsActual

The general solutions of ² x x= x- x+1 is

Options

  1. Ax=n +(-1)^ n 4 or x=m + 3 4 ; m, n z
  2. Bx=n +(-1)^ n 2 or x=m + 3 4 ; m, n z
  3. Cx=n +(-1)^ n 2 or x=m + 5 4 ; m, n z
  4. Dx=n +(-1)^ n 4 or x=m + 5 4 ; m, n z

Correct answer

B. x=n +(-1)^ n 2 or x=m + 3 4 ; m, n z

Step-by-step solution

(B) ² x x= x- x+1 x x x = x x - x+1 x x= x- x x+ x x( x+ x)= x+ x x( x+ x)-( x+ x)=0 ( x+ x)( x-1)=0 x+ x=0 or x=1 x=-1 x= + 3 4 or x=n +(-1)^ n 2 m , n Z

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