What is the solution set for #8/(x+2)=(x+4)/(x-6)#?
There are no real solutions and two complex solutions
First, cross multiply to get
The quadratic formula now gives solutions
These are definitely worth checking in the original equation. I'll check the first and you can check the second.
The left-hand-side of the original equation, upon substitution of
Now do the same substitution on the right-hand-side of the original equation:
It works! :-)