Question

solve for x for the following

Answer 1

3/(x-1)+1/(x+1)=4/x

or 3(x+1)+1(x-1)/(x-1)(x+1) =4/x

or (3x+3+x-1)/(x^2-1)   =4/x

or (4x+2)(x^2-1)  =4/x

or  2(2x+1)/(x^2-1)=4/x

or (2x+1)/(x^2-1)= 2/x

or 2x^2+x=2x^2-1        (by cross multiplying)

or x+1=0

hence,x=-1 is the required answer.