I'm so confused!

http://en.wikipedia.org/wiki/Imaginary_number

 

It's the square root of a negative number (i.e. the square root of -1 = i, the square root of -4 = 2i, etc.).

 

I know that, but other than that, I know NOTHING about imaginary numbers! See, I decided to do some research on them, which my math teacher warned me not to do, so of course I did. Just to enlighten myself. That's when I got confuzzlinated (Lol, Firefox thinks that's a word).

 

I think that you need limits on your curiousity or else your brain will asplode.

 

Yea, the Wikipedia article was no doubt written by a math nerd. That's really high-end stuff...

 

wtf booooooooooooooooooooooooooooooooooooooooooooom

 

Seriously? Now i feel stupider than when I read the article. :stupid:

 

TROMBEddddd

 

This is a whole unit we are examined in this year. i^2 = -1 is just the elementary attribute...

 

These are true but you don't say it like this. You don't replace i with s.r. of -1
It's:

i^0 = 1
i^1 = i
i^2 = -1
i^3 = i^2 = -1
i^4 = i^3 * i = 1
An the list goes on.
But there are more things you should know, like z*\bar{z} = x^2 + y^2 or Re(z) = z +\bar{z} / 2 and Im(z) = z - \bar{z} / 2i etc.

 

Its just anouther form of math which we will never use in our lives......

 

I got that, until there. You lost me there.

 

If
z = x + yi
then
\bar{z} = x - yi
Easy stuff, but I don't want to analyse it more or explain other stuff to you, 'cause you'll just get more confused. There are more things to know if you want to use the -babelfish doesn't translate the name of these numbers-. But I wish they would put these in the final exams :(

 

You're not the only one who's confused over here...

 

So, if \bar{z}= x^2 + y^2, then z= x^2 - y^2?

 

No... ok look how it is:
z*\bar{z} = (x + yi)*(x - yi) = x^2 - xyi + xyi -y^2*i^2 = x^2 + y^2
Got it?

 

Yeah, you basically used the FOIL method to multiply z*\bar{z}, after you translated it into (x + yi)*(x - yi), you got (x*x) + (x*yi) + (x*(-yi)) + ((y*y)*(i*i)), and it's basic simplification from there, right?

 

I'm not sure what FOIL is (I think you mean the attribute used when multiplying and don't get me wrong but I just haven't heard the word in English) but you got it right.