A question for everybody except everybody {For Todd's Eyes only}

Todd

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solve:


x{to the n} + y{to the n} = z{to the n} where n is bigger than 2
 
Been a long time since I had algebra, Todd, but I'm pretty sure that equation is unsolvable with the information given.
 
You stupid Creationist Creation Cristian Todd.

If you gave up beleiveing in dinasuars and man walking together and that stupid fundaMENTAList literal interpretation of that stupid Bible the answer would be so clear to you.

Oh and I am not gonnat ell you the answer either, so there Todd.
 
Todd, Sweety. Great formula, but you need to know at least one other number, either x, y or z. preperably z.. then maybe i can solve it! :)
 
Todd, honey. Reach for the off button on the computer. That's right. Now after you turn the computer off, please go lay down for a short nap.

I think you've been looking at the computer screen too long.
 
It's the pythagoran theorem if n is two. Lookee here buddy boy. Christians are going to be persecuted. Accept it, deal with it, live with it and thank your everlasting toe cheese that the whole feeding Christians to the lions thing went out with the Romans. You are on a porn board. Okay? This is a hotbed of sinners, most of whom are NOT going to be Christian. In this part of the world Christianity has been literally forced on us like it or not. Right, wrong, or indifferent, a lot of people are pissed off at the general hypocrasy that the average Christian indulges themselves in.

Get over it.
 
Dea Artia said:
Todd, Sweety. Great formula, but you need to know at least one other number, either x, y or z. preperably z.. then maybe i can solve it! :)

not really

x{to the 2} + y{to the 2} = z{to the 2}

You can ask, what are the whole number solutions to this equation, and you can see that:


3{to the 2} + 4{to the 2} = 5{to the 2}
and


5{to the 2} + 12{to the 2} = 13{to the 2}
 
But you said n was greater than 2.

Would this be the infamous "fuzzy math"?
 
OIC! Neat. Hmm.. if i think of one i'll post it for you Todd. I'm not much into math, but i like playing games with my mind, you know.. :)
 
Pyper said:
But you said n was greater than 2.

Would this be the infamous "fuzzy math"?

I was giving an example with n=2 to show that niether x,y or z needed to be known to solve the equation.

so make the n any number you want over 2 and slave the equation
 
That is incorrect, Todd. I may be a writing major, but I aced the AP Calculus and AP Physics tests. As previously stated, x squared + y squared= z squared is the Pythagoran Theorem. It cannot be solved without at least one number. If you make n bigger, you cannot solve it without at least two numbers. As far as I can see, you did not solve the equation at all, you simply gave the solutions.
 
Dea Artia said:
OIC! Neat. Hmm.. if i think of one i'll post it for you Todd. I'm not much into math, but i like playing games with my mind, you know.. :)

have fun with it Dea Artia its a bit of a trick question.

Its actually Fermat's Last Theorem creater around 1630 no answer has yet been found
 
That is not Fermat's Last Theorem! That it the Pythagoran Theorem, Dillingerdamnit!
 
Pyper said:
That is incorrect, Todd. I may be a writing major, but I aced the AP Calculus and AP Physics tests. As previously stated, x squared + y squared= z squared is the Pythagoran Theorem. It cannot be solved without at least one number. If you make n bigger, you cannot solve it without at least two numbers. As far as I can see, you did not solve the equation at all, you simply gave the solutions.

solve \Solve\, n. A solution; an explanation. [Obs.] --Shak.

Source: Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.

~~~~~

solve v 1: find the solution to (a problem or question):"did you solve the problem?"; understand the meaning of; "did you get it?"; "Did you get my meaning?" [syn: work, figure out, puzzle out, lick] 2: find the solution to; "solve an equation" [syn: resolve]
Source: WordNet ® 1.6, © 1997 Princeton University

~~~~~

A solution came by solving? So solving the theorem came the solution. Thats what I am asking with solve:


x{to the n} + y{to the n} = z{to the n} where n is bigger than 2
 
Pyper said:
That is not Fermat's Last Theorem! That it the Pythagoran Theorem, Dillingerdamnit!

Pythagagorans theorem is with n = 2

Fermats is with n being greater than 2

which is what I originally posted
 
Todd. Listen to me buddy. You did not solve the equation simply by telling us the answers. The equation is unsolvable as it is.

Solving an equation looks like this:

x(squared)+y(squared)= z(squared) What is y where x=3 and z=5?

3(squared)+y(squared)= 5(squared)

9+ y(squared)= 25

y(squared)= 25-9

y(squared)= 16

y= (squared root of 16)

y= 4

That is called solving an equation. Now try to do that with no numbers. See? You can't.
 
Fermat's last theorum...

is that there are no positive integers such that x^n + y^n = z^n when n>2.

An equation like this CAN be solved with no variables defined other than n>2, as Todd demonstrated with his Pythagoran examples. It just can't be solved algebraically.

However, there's no solution to THIS equation, which merely proves Fermat's last theorum.
 
Wait, I'm confused. It can be solved, but it can't be solved? I thought there was no solution to Fermat's Last Theorem. Explain that again, Bri?
 
Pythagoran Theorem is simply:

a{squared} + b{squared}= c{squared}

no numbers are neeed to come up with a solution

you can inject whatever numbers you like into it

do the same with

a{to the ngreater than 2} + b {to the ngreater than 2} = c{to the ngreater than 2}

Use what ever numbers you want to my dear, I am not restricting your choice of numbers the only thing that is asked is n be greater than 2, you can cube, quad, quint, sext, octop what ever you like.

You can show your work if you like or use a calculator just come up with a number for a, b, c, and n>2 any numbers you want
 
Re: Fermat's last theorum...

DarlingBri said:
is that there are no positive integers such that x^n + y^n = z^n when n>2.

An equation like this CAN be solved with no variables defined other than n>2, as Todd demonstrated with his Pythagoran examples. It just can't be solved algebraically.

However, there's no solution to THIS equation, which merely proves Fermat's last theorum.

Thank you DarlingBri, I know we don't see eye to eye on anything, but thank you nonetheless.
 
Still confused. The Pythagoran Theorem only works with certain sets of numbers. For instance, while a=3, b=4, c=5 does work, a=3, b=4, c=7 does not work. Therefore, to solve for all the unknowns, one would need some numbers.

And as far as I can tell, if I do the same thing, except just cube the buggers, it still does not work except for certain sets of numbers.
 
OK

I'll try :)

In theory, it can be solved, but not using algebra.More or less, you just plug in numbers and try them. Say I wanted N to be 3, OK? So I cube an infinite number of integers:

1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64

... and on and on. You then simply see if *any* two smaller numbers add up to a larger one: does 1 + 8 = 9? No. Does 8 + 27 = 64? No. Etc, etc, etc. There are computers whose full time job it is to try numerical combinations like that, first with n = 3, then with n = 4, etc.

In theory, you can solve any valid algebraic equation this way; we cannot actually use algebra to do this, as there is no way to solve for any single variable and then in turn use that number to solve for other variables, but we can just "try" random numbers.

However, since the actual theory of FLT is that the equation is NOT solveable - there are NO numbers that will fit - you cannot solve Todd's equation at all.

[Edited by DarlingBri on 04-14-2001 at 02:16 PM]
 
Pyper said:
Still confused. The Pythagoran Theorem only works with certain sets of numbers. For instance, while a=3, b=4, c=5 does work, a=3, b=4, c=7 does not work. Therefore, to solve for all the unknowns, one would need some numbers.

And as far as I can tell, if I do the same thing, except just cube the buggers, it still does not work except for certain sets of numbers.

Yes but you can randomly guess a and b in the Pyth. Ther. and then see what you need to come up with for c in the Ther.

Go ahead and cube the buggers, come up with a random a and b to establish what c should be.

thats all I was asking myself in the opening post. Surely one such as yourself not deluded with images of a God would have much better capacities to guess a and b to come up with c
 
So it's not solvable. Wasn't that my point? Wait, what was my point? What was Todd's point? What were we arguing about? What's going on? Where am I?
 
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