is it possible ? here "3" stand for cube of the variable that x3 +y3=z3 like paythagoras thorem

Question

" x" to the power "3" + " y" to the power "3"= " z" to the power "3"
x ,y ,z are the integer . Is it possible?

Answer 1

Fermat's Last Theorem...good stuff. If you are curious about learning more, there is actually a book about it. Ironically titled, "Fermat's Last Theorem." It's a pretty good read. It doesn't go into all the proof since it is agonizingly long but it goes into some of the math behind it.

So anyways, no, there is nothing besides squaring that works in that way. It has been fully proven for all values other than two.

Answer 2

1,Who is the most powerful anime character?!?!?!? (its just a guess X3) ►Many are on the same level. You can't just declare on as the "strongest". e.e 2. who do you think is more smarter "L or Light"? ►L. Light had too many cheats. 3, who is the cutest Anime/Manga character you seen/read? ►Dunno. 4, know any anime characters that look a lot alike but from different anime? ►Plenty. Animators use their styles over and over again, so it's not uncommon to find such similarities between differently named anime. 5, what’s something that will make you hate Anime/Manga? ►The fact that it can drive some people to a fantacy-induced craze. I know other things do this too, but practically everyone else is labled as a freak for liking the same thing that drove a handful of people to insanity. 6, what’s something that will replace Anime/Manga for you? ►School. 7, Any anime characters you dislike/hate? (oh plz do not mentions Sakura here plz ><) ►Meh. 8, What made you love anime?? ►I like animation in general. Anime happens to fit in with that animation. 9, At what age did you start watching or reading Anime/Manga?? ►Before I knew what it was called: around 2-3. After: Around 9. 10, What’s your favorite Anime/Manga? ►Slayers (and all of its seasons/movies/ovas). 11, Do you have someone you admire or like on C&A? ►Haven't been on here for a while. Sorry, I don't know many of you. 12, What Anime/Manga world do you want to be part of?? (where you wanna live in) ►None. I'm perfectly happy living in the real world. 13, If you were give a chance to take the power of one Anime/Manga character, who would it be? (only one person) ►I would choose to not. 14, Would you ever get tired of Anime/Manga? ►I have before. Sometimes I just need to take a break. I do this with everything though. 15, Has any Anime/Manga made you cry?? ►No, but Grave of the Fireflies was close. 16, Something you would change about this world related to Anime/Manga?? ►Nothing. Everything has happened for a reason, so I would not change anything. 17, What’s something that makes you different from me and others?? (that is if you think your different from others) ►Better other people say than me. I'm just an average, dime a dozen person. 18, What would you have done if you met your favourite or Anime/Manga character in real life, and who would that be? ►Stare, and then wonder what I hit my head on. 19, Which character resembles you, from any Anime/Manga you watched or read so far, or maybe you have seen?? >>Em, well many characters are based on just a handful of characteristics. I'm average, so an average anime character that doesn't care to speak much would be like me.

Answer 3

That's Fermat's Last Theorem, that there are no integer solutions to this for exponents greater than or equal to 3. Fermat he said he'd proven it but there was no space on the paper to write out the proof. People have been specualting about it ever since, only recently it was proven. Gauss, one of the greatest mathematicians of all times, turned up his nose at it even though there was a big cash prize.

Answer 4

As per Fermat's last theorem, there are no non-zero solutions for x^3 + y^3 = z^3.

For the longest time there hasn't been a proof and it was conjecture. It wasn't until Andrew Wiles found a proof using modern mathematical methods.

Fermat's Last Theorem specifically states that for n > 2,
x^n + y^n = z^n has no non-zero solutions.

Answer 5

let us take up a triplet of pythagoras thm.
i.e. 3,4,5 and sub. to your formula
so,
x3+y3=z3
(3)3+(4)3
27+64=91
but (5)3=125
so (3)3+(4)3<(5)3
immpossible

Answer 6

If x, y and z are integers, then the only possible solutions are x = y = z = 0, but according to "Fermat's Last Theorem", there are no other solutions.

^_^

Answer 7

Fermat's Last Theorem...good stuff

Answer 8

I would assume so. If you let x & y =1, you have 1^3 + 1^3=z^3
z^3=2
z=cube root of 2 or 2^1/3

Answer 9

It has been shown by Euler that there is no (non vanishing) solution, long before Wiles was born.

Answer 10

what about fermat's little theorem? had to do with modulo arithmetic. not near as famous, but quite nifty

http://primes.utm.edu/notes/proofs/FermatsLittleTheorem.html