Question

1/x-4+x/x-2=2/x2-6x+8

Answer 1

Step by Step Solution:-  

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

               1/x-4+x/x-2-(2/x^2-6*x+8)=0  

Step by step solution :

STEP

1

:

            2

Simplify   ——

           x2

Equation at the end of step

1

:

    1    x        2

 (((—-4)+—)-2)-((——-6x)+8)  = 0  

    x    x       x2

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x2  as the denominator :

         6x     6x • x2

   6x =  ——  =  ———————

         1        x2    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator