Radical Equations: A Second Attempt - Resolved

[Xearf_987]

Alright, I am going to make a second attempt to have my question answered ><. First of all, I would like to apologize to all of the "Elite Members" for the fact that I am new. If I make a "n00bish" mistake, please kindly point it out to me ><. We need to maintain that sense of community and help each other out.

What I'm doing:

I am not sure how to go about solving this problem. In my Algebra 2 class, we are studdying radical equations. You Isolate the radical, square/cube...etc both members of the equation, and repeat the process until you have gotten rid of all the radicals. Then you simply solve for x.

The problem:

Problem #3

1/ (1 - sqrt(x)) = 1 - (sqrt(x) / (sqrt(x) - 1))

I apologize if my formatting is "ambiguous"

My question:

I'm not exactly sure how to start the problem. There are radicals in the denomonaters, so... do I get rid of them first, or do I find an LCD, or... what? If someone could please show me how to do the first few steps, I would greatly appreciate it.

 

[Denis]

1/ (1 - sqrt(x)) = 1 - (sqrt(x) / (sqrt(x) - 1))

Try this: let a = sqrt(x) ; then:

1 / (1 - a) = 1 - a / (a - 1)

1 / (1 - a) + a / (a - 1) = 1

Carry on...