# Algebraic Simplification

• August 7th 2011, 06:37 PM
Umair
Algebraic Simplification
Okay I've got this:

$y-\sqrt{2}=(y+\sqrt{2})Ce^{-\sqrt{2}x^2}$

and need to make it so that

$y=\frac{\sqrt{2}(1+Ce^{-\sqrt{2}x^2})}{1-Ce^{-\sqrt{2}x^2}}$

Where C is just a constant

Need helps with then steps involved please...
• August 7th 2011, 06:46 PM
TKHunny
Re: Algebraic Simplification
Well, do it. What's your first step?
• August 7th 2011, 06:48 PM
Umair
Re: Algebraic Simplification
Sorry I've no idea lol. Maybe add $\sqrt{2}$ to both sides and try to do something from there? I'm sorry im clueless lol. Sorry if this is supposed to be easy :S
• August 7th 2011, 06:49 PM
Prove It
Re: Algebraic Simplification
\displaystyle \begin{align*}y - \sqrt{2} &= \left(y + \sqrt{2}\right)Ce^{-\sqrt{2}x^2} \\ y - \sqrt{2} &= Cye^{-\sqrt{2}x^2} + C\sqrt{2}e^{-\sqrt{2}x^2} \\ y - Cye^{-\sqrt{2}x^2} &= \sqrt{2} + C\sqrt{2}e^{-\sqrt{2}x^2} \\ y\left(1 - Ce^{-\sqrt{2}x^2}\right) &= \sqrt{2}\left(1 + Ce^{-\sqrt{2}x^2}\right) \end{align*}

Finish it.
• August 7th 2011, 06:52 PM
Umair
Re: Algebraic Simplification
Quote:

Originally Posted by Prove It
\displaystyle \begin{align*}y - \sqrt{2} &= \left(y + \sqrt{2}\right)Ce^{-\sqrt{2}x^2} \\ y - \sqrt{2} &= Cye^{-\sqrt{2}x^2} + C\sqrt{2}e^{-\sqrt{2}x^2} \\ y - Cye^{-\sqrt{2}x^2} &= \sqrt{2} + C\sqrt{2}e^{-\sqrt{2}x^2} \\ y\left(1 - Ce^{-\sqrt{2}x^2}\right) &= \sqrt{2}\left(1 + Ce^{-\sqrt{2}x^2}\right) \end{align*}

Finish it.

Whoa!!! Multiply out, then take the common factors of $\sqrt2$ and y!! You're a genious!!!!!!!

Edit: I'm probably actually just stupid lol, but the former is probably also true!
• August 7th 2011, 06:53 PM
Prove It
Re: Algebraic Simplification
Quote:

Originally Posted by Umair
Whoa!!! Multiply out, then take the common factors of $\sqrt2$ and y!! You're a genious!!!!!!!

Edit: I'm probably actually just stupid lol, but the former is probably also true!

Don't call yourself stupid, you'll start believing it ><

I think you also mean "Genius", not "Genious" :P
• August 7th 2011, 07:04 PM
TKHunny
Re: Algebraic Simplification
Quote:

Originally Posted by Umair
I've no idea lol.

Please see how catastrophic this is. GET an idea. No idea never will be funny. Pay attention in class. Read the material. You WILL have SOME idea.

Never say or think that again.