Question

solve the equation 2x/(x-2)=1/(x^2 -4) +1

Answer 1

Is the one added to the denominator or to the whole thing on the other side of the equation?

Answer 2

its added to the whole thing

Answer 3

ok simple. Bring like terms together( the x-2 and x^2-4) and find a common denominator

So you would have \[(2x/x-2)- 1/(x ^{2}-4)=1\]

Then find the common denominator by multiplying 2x/x-2 with x+2/x+2
since x^2-4 is the same as (x+2)(x-2)

and then you have
\[(2x ^{2}+4x-1)/(x+2)(x-2)=1\]
I'm sure you can go on from there?

Answer 4

yes I can thank you!