SOLUTION: Kindly help me solving it i tried my best but I couldn't Solving equation (x-1/x)^2-6 (x+1/x)+12=0 we get roots as? I tried to simplify it and it reduced to x^4-6x^3+14x^2-6x+1

It is elementary . . . 

0.   = 0.    (1)


1.   =  +  =  +  -4 =  - 4.


2.  Therefore, you can write the original equation in an equivalent form

     = 0,  or, which is the same

     = 0.     (2)


3.  Next, introduce new variable y = . Then the equation (2) takes the form

     = 0,

    and you can solve it by factoring

    ((y-4)*(y-2) = 0.

    The roots are y=4  and  y=2.


4.  As the last, final step, you should solve these two separate equations     

        = 6,

    and

        = 2.