Math, who can prove it wrong?

I have a puzzle:

Prove it wrong:

a=b
axa=axb
axa-bxb=axb-bxb
(a+b)x(a-b)=bx(a-b)
(a+b)=b
a+a=a
2xa=a
2=1 !!!

 

Your forrmula doesn't work with negative numbers thus it's flawed.

 

Not correct, my friend. ^_^ .

 

It's incoherent babble.

It contradicts itself like 3 times before you even get to 2xa

easily dis proven.

 

Your line where you say:

this cannot be continued as you did. As a=b, a-b=0
Therefore that line says (a+b)x0=bx(0) always. That is where the flaw is. You cannot continue as you cannot divide by 0

 

Not correct! Try again

 

Correct. ^_^.

 

Okay fair enough...but I would argue you can divide by 0 sometimes...what about 0/0 ?

 

You can not divide 0 by 0.
For example: 2x/3x when x->0
it does not mean 2*0/3*0. It is: lim(2x/3x) with x->0 . Result: 2/3

 

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

nuff said.

 

It is said that only Chuck Norris can divide by 0.

 

My brain hurts now. Thanks a lot!

 

Oh no! Here we go again. I thought I'd escaped that after not playing WoW.

 

This is the Internet. Enjoy your stay!

 

Hehe, I actually kind of like the jokes. Sshhhh, don't tell anyone.

 

Tell me and i will keep secret.

 

Yep, I've read this before, and I am admitittly no math genius, it just seems to me the wiki artilce avoids the question:

The way I was "taught" in elementry school:

x/y -> ask yourself what number if mulitplied by y will give you x

6/2 -> what number if multipleed by 2 will give 6 -> 3

So it follows just like the wiki article

10/0 -> What number divided if mulitplied by 0 will give 10..hmm there is no such number (because "any number" times 0 = 0)

So 0/0 -> What number if multipled by 0 will give 0. Then I get the answer

"all of them".

Later I learned there is some wierd letter that defines "the set of all numbers", or the complex number system, though I don't remember what it is.

Also (while I'm on my high horse)..all that stuff about computer arithimitic is garbage. I frequenly find it easy to get my computer to spit out the wrong answers, in particular if working with really really tiny numbers. It reminds me if the old caculator days, if I took the sqrt(2) over and over and over again, then then squared it over and over and over again, I would get 1.9999999999

Newer calculators don't seem to do this as often.

Anyway sorry for the rant, I have a sore spot about math stuff

 

0/0 is undefined.

 

Would that be like a "null value"?

 

This leads me to question what "undefined" is

If you mean it's undefined as in;

int x;

We say "x" is undefined because we have yet to assign it a value and thus could be any "random" value the compiler or machine wants to assign..it then yes I agree with you, though I might use the term 'x is unknown' or maybe 'x is unpredictable', but not x is undefined.

But if you mean it is "undefined" as it "there is no answer to it", then I have a problem because there definitly is an answre to the question.

0/0 = x, where x is any number in C {the set of complex numbers}

And it seems to be that is a valid definition, so there it is not undefined

..or at least the set of Real numbers anyway (imaginary numbers give me a headache)