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MHT CET202015 Oct 2020Evening ShiftMathematicsFunctionsActual

The number of solutions of the equation x+ x=2 x lying in the interval [0,2 ] is

Options

  1. A0
  2. B2
  3. C3
  4. D1

Correct answer

B. 2

Step-by-step solution

Given x+ x=2 x x x + 1 x =2 x x+1=2 ² x +1=2 (1- ² x ) 2 ² x+ x-1=0(2 x-1)( x+1)=0 x= 1 2 , x=-1 If x=-1 , then x= 3 2 and 3 2 =0 . Hence given equation is not defined at x=-1 . x= 1 2 x= 6 , 5 6

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