Recent content by mente oscura

  1. mente oscura

    MHB Prove that x²+y²+z² isn't prime

    Hello. Regards.
  2. mente oscura

    MHB Find $a+2b+3c$ Given $(x-1)^3$ is a Factor of $x^{10}+ax^2+bx+c$

    Hello. I know that the idea is not very brilliant, but: Regards.
  3. mente oscura

    MHB What are the real pairs $(a,\,b)$ that satisfy this system of equations?

    Hello. Yes. It is that I am a bit lazy. Regards.
  4. mente oscura

    MHB Divisibility problem (number theory, I believe)

    I sit it. I thought that it was a doubt of someone, but, later, I saw that it was a game. Because of it I edited, to add the spoiler. Regards.
  5. mente oscura

    MHB Is Fermat's Last Theorem Solvable for n=4 Using Pythagorean Triples?

    Hello. I have considered that "g" or "f" is an even number. Only one. You can choose, what is the pair, and see how the result is similar. In this case, the show is trivial: Let \ i \ , \ j \in{\mathbb{N}} \ / one \ is \ even \ and \ the \ other \ odd If \ k |(i+j) \ and \ k |(i-j)...
  6. mente oscura

    MHB Is Fermat's Last Theorem Solvable for n=4 Using Pythagorean Triples?

    Hello. where is the problem? b=2mn=2uv=2xyzpqr According to your example: m=pqr n=xyz u=pxy v=qrz We operate: c=m^2+n^2=p^2q^2r^2+x^2y^2z^2 c=u^2-v^2=p^2x^2y^2-q^2r^2z^2 p^2q^2r^2+x^2y^2z^2=p^2x^2y^2-q^2r^2z^2 q^2r^2(p^2+z^2)=x^2y^2(p^2-z^2) q^2r^2=p^2-z^2 x^2y^2=p^2+z^2 Two...
  7. mente oscura

    MHB Is Fermat's Last Theorem Solvable for n=4 Using Pythagorean Triples?

    Hello. I share with you , a demonstration, which authorship is mine. I do not know, if it exists, similar other one.Section A) demonstration Fermat’s Last Theorem, for n = 4. Let \ A, \ B, \ C \ \in{\mathbb{N}} / A, \ C \ = \ odd; \ B \ = \ even \ / A^2+B^2=C^2 (*)We consider, as possible...
  8. mente oscura

    MHB Solve x^6 + 25x^5 + 192x^4 - 7394x^3 + 48936x^2 - 113304x + 79488=0

    Hello, Idahl. Thank you, for taking part in the challenge. But, what calculations have you realized? (Muscle) ? Regards. (Med venlig hilsen) :rolleyes:
  9. mente oscura

    MHB Solve x^6 + 25x^5 + 192x^4 - 7394x^3 + 48936x^2 - 113304x + 79488=0

    Hello.:) Find the 6 reals roots: P(x)=x^6-25x^5-192x^4+7394x^3-48936x^2+113304x-79488 Regards.
  10. mente oscura

    MHB What are the 6 Complex Roots of this Polynomial?

    Hello. My solution: Regards.
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