Little problem I created for myself

I want to have some algebra expression so that once it is solved the answer becomes . I want it to be a little complicated though where the answer isn't obvious and you do actually have to reduces, cancel ect. Something like this for example. I know it doesn't mean anything but to give you an idea, once solved and everything cancels ect the solution is

Thanks!

Re: Little problem I created for myself

Quote:

Originally Posted by

**uperkurk** I want to have some algebra expression so that once it is solved the answer becomes

. I want it to be a little complicated though where the answer isn't obvious and you do actually have to reduces, cancel ect. Something like this for example. I know it doesn't mean anything but to give you an idea, once solved and everything cancels ect the solution is

Thanks!

Well, you could start with E = mc^2 and add a term to both sides, divide both sides by something, square both sides, etc. If you want to have real fun you could do something like...

or something and make them solve for a such that E = mc^2.

Of course you could have some real fun and use , where p is the momentum. That's the general form for E = mc^2.

-Dan

Re: Little problem I created for myself

Thanks topsquark, I had something like that in mind but I wanted to make it a little more complicated and not make it apparent that the answer is

Re: Little problem I created for myself

Re: Little problem I created for myself

Quote:

Originally Posted by

**ChessTal** As an exercise for someone you can ask him to solve for E and x(both real number) and for

and

the following:

or even better the equivalent inequality:

When I paste these into Wolfram it tells me it doesn't understand the equation and the closest answer it gives is

Re: Little problem I created for myself

Quote:

Originally Posted by

**uperkurk** When I paste these into Wolfram it tells me it doesn't understand the equation and the closest answer it gives is

Well Wolfram Alpha is wrong since this equation is solvable and the solution is what you ask.... Just solve it yourself and forget Wolfram A. :)