Right....

we all know that and that undefined and that

so....what does

???

## Question...

### George

Posted 13 May 2007 - 04:57 PM

Here's the long answer

is also undefined, since you can't divide by 0.

The reason is that when we write , we want to be the

In the case of (i.e. dividing by zero) the equation is , and if is nonzero, it's impossible to find an which will make that work.

So what if ? Well, then you have to solve - meaning could be anything you like. But then that's not a

So why do we want it to be unique?

Well, what if we just pick one of the possible solutions, and say ?

Then multiplying by 2,

So trying to just use leads us to say , and the universe blows up The same thing would happen if we tried to make any other fixed number. So we just agree not to

is also undefined, since you can't divide by 0.

The reason is that when we write , we want to be the

**unique**solution of the equation .In the case of (i.e. dividing by zero) the equation is , and if is nonzero, it's impossible to find an which will make that work.

So what if ? Well, then you have to solve - meaning could be anything you like. But then that's not a

**unique**solution, so it goes against what I said above.So why do we want it to be unique?

Well, what if we just pick one of the possible solutions, and say ?

Then multiplying by 2,

So trying to just use leads us to say , and the universe blows up The same thing would happen if we tried to make any other fixed number. So we just agree not to