This is what I got. The solution RSD did you need to do the quadratic and I didn't get the same answer as him. What you can do instead is factor.
Like so
sqrt(x^2-9) / sqrt(x+3) = 4
or
(x^2-9)^(1/2) / (x+3)^(1/2) = 4
If you factor the top you get [(x-3)^(0.5) * (x+3)^(0.5) ]/ (x+3)^(0.5) = 4
The (x+3)^(0.5) cancel. You get (x-3)^0.5 = 4
Square both sides
x-3 = 16
x=19
Multiply by (x+6) on each side. 👍*(x+6) = (x+4)
distribute left side yx +6y = (x+4)
Make all parts of the equation with x on one side and everything else on the other side.
6y -4 = x -yx
Factor the right side
6y - 4 = (1-y) * x
Now this goes to (6y-4)/(1-y) = x
Did you still need this one solved Represent y = (x+5)/(x-9) in form of x= ?
It is the same as the one above I think.