Solve the following equation. remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have,

⇒

⇒

⇒

⇒

⇒ or,

If, (x-2)(x-6) =0, then x=2 or x=6

If, , then

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

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