Thread: Need help re-arranging an equation!

Hey all I need some help re-arranging this equation so I can find z here it is:

also is w^2/wn^2 the same as (w/wn)^2? so I could replace w^2/wn^2 with say r^2?

x= (w^2/wn^2) / (sqrt( {1-w^2/wn^2}^2 + {2*z*w/wn}^2))

So I have the value for x and I need to find the value of z. I have had a couple of goes at it and I am honestly not sure if what I am doing is right or not.

Thanks for any and all assistance in advance!

, if that helps you to simplify. You can probably see it can be further simplified.

Awesome I thought so! Thanks rowe, where do I go first? Do I get rid of the square root or can I take the entire bottom half of the equation over and times by x ?

will the sqrt just cancel out the squares on the brackets?

crap= given wrong equation to start with- real one is here:

So your equation is, , and you need to solve for ?

oh, poo, the M*R/m was just set next to the other equation no multiplication sign but a gap between the horizontal divide line if that makes sense? I am sorry

No worries; did you mean:

?

You can actually hover over any equation to see the TeX being used. It takes a bit of learning to write what you want but it definitely speeds things up once you know how to write stuff properly.

If that is the same as then thats the one! I'm sorry! Slowly learning this Latex thingimy. Oh, and the 2*z*r was in brackets then squared so :
I hope that works!

Sorry rowe, thanks for your patience with me!

Cool, so we have:

and we need to solve for . The first step is to remove the square root from the denominator. Do you know how to do this?

I am not sure, no sorry, I thought that the squares on the brackets underneath the sqrt would cancel?

Anyone else?

Originally Posted by Rhys101

I am not sure, no sorry, I thought that the squares on the brackets underneath the sqrt would cancel?

No. There are two terms under the radical, and we cannot split a radical over addition. So



but it is not generally true that

Don't do this.

To get rid of the square root, you'll need to square both sides of the equation.

Ok cool so do I need to flip the equation to square everything? so I get ? and ? DO I need to square the r^2 on the bottom as well, If I have flipped the equation?