Hi everyone!

I've been struggling with this problem involving radical expression as part of my algebra assessment:

[sqrt(x+1) + sqrt(x-1)]/[sqrt(x+1) - sqrt(x-1)] = 3 Solve for all possible solutions to "x".

So far I've tried to simplify the expression by multiplying the denominator by its conjugate, like so:

1) ([sqrt(x+1) + sqrt(x-1)]/[sqrt(x+1) - sqrt(x-1)]) * ([sqrt(x+1) + sqrt(x-1)]/[sqrt(x+1) + sqrt(x-1)]) = 3

2) (x+1 + 2[sqrt(x+1) * sqrt(x-1)] + x-1)/[x+1 - (x-1)] = 3

3) (2x + 2[sqrt(x+1) * sqrt(x-1)])/2 = 3

4) (x + [sqrt(x+1) * sqrt(x-1)]) = 3

5) ?

This is where I'm stuck. I don't know how to proceed from here to solving for all solutions to "x", so if someone could help me from here I would appreciate it!