Need algebra to simplify/solve an equation

the equation that i need to simplify first is ((x^2-1)^1/2 -(x^2-1)^-1/2 (2-x^2)) / (x^2-1)= 0

after i move the negative power, im not exactly sure what to do. I would multiply by the reciprical to get rid of the fration in the numerator but the 1/2 exponent makes things difficult. help is much appreciated!

Re: Need algebra to simplify/solve an equation

Do you mean simplify or solve?

Is this the equation?

if so,

Now you can multiply both sides by

Multiply both sides by and you'll find , but can it?

Re: Need algebra to simplify/solve an equation

Re: Need algebra to simplify/solve an equation

yes thats basically the right equation. the answer key says the answer is x = plus or minus the squareroot of 3/2. and i have no idea how that can work out...

Re: Need algebra to simplify/solve an equation

I think the correct interpretation is:

Which is 0 if

Re: Need algebra to simplify/solve an equation

Quote:

Originally Posted by

**Victalam** yes thats basically the right equation....

basically?