The no of real values of x which satisfy the equation : | x/(x-1)| +|x|=x^2/|x-1| is

Answers (1)

Solution:     We can write  ,

                      left | fracx(x-1) 
ight |+left | x 
ight |=fracx^2x-1

            Rightarrow    x  and  fracxx-1  have the same sign.

           Rightarrow    Either   x=0  or   x> 1.

          	herefore    No. of solutions is infinite.

 

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