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  1. Oh I Really Don't Care's Avatar
    1281 29-01-2009  20:38
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by Mathematician!)
    Lol! Why did you start a new account then? :eyeball:
    Changed your mind?
    TSR was the cause for quite literally doing nothing in terms of school work and I thought this would have affected my exams (considering I had done no homework in any of my subjects) and I need three a for Oxford. Considering how my exams have recently gone though I found that you can quite literally learn whole modules in one or three days - subject specific - ergo TSR time.
  2. Mathematician!'s Avatar
    1282 29-01-2009  20:58
    • Overlord in Training
    • Location: In a house :D
    • Posts: 2,997
    Re: Official TSR Mathematical Society
    (Original post by DeanK22)
    TSR was the cause for quite literally doing nothing in terms of school work and I thought this would have affected my exams (considering I had done no homework in any of my subjects) and I need three a for Oxford. Considering how my exams have recently gone though I found that you can quite literally learn whole modules in one or three days - subject specific - ergo TSR time.
    Lol fair enough.
  3. The Muon's Avatar
    1283 30-01-2009  17:53
    • Overlord in Training
    Re: Official TSR Mathematical Society
    (Original post by DeanK22)
    This is the same person :rolleyes: ...
    lmao!
  4. Glutamic Acid's Avatar
    1284 30-01-2009  17:54
    • TSR Legend
    • Location: E.I.R.E. / S.E. / Cam
    Re: Official TSR Mathematical Society
    Prettier rep though.
  5. Oh I Really Don't Care's Avatar
    1285 30-01-2009  20:22
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by The Muon)
    lmao!
    Anymore wall challenges?
  6. Dadeyemi's Avatar
    1286 30-01-2009  21:19
    • Overlord in Training
    • Location: x
    Re: Official TSR Mathematical Society
    how about something simple, criticise the logical paradox in the statement:
    "This statement is false"

    lol dean you made a new accout because your rep was low :rofl:
  7. Oh I Really Don't Care's Avatar
    1287 31-01-2009  00:13
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    Quickie.

    Sir Gustaff is happy when smoking ciggareetes and drinking wine. So happy his happyness is proprtional to the square of the number of bottels of wine he has in one day multiplied by the packets of ciggarettes he has in one day. A bottle of wine costs 3 pounds, ciggarettes cost 2 pound. He has an allowance of 100 pounds. What amount of alcohol and ciggarettes should Gustaff acquire to achive greatest happyness?
  8. Oh I Really Don't Care's Avatar
    1288 01-02-2009  21:36
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    question
  9. The Muon's Avatar
    1289 01-02-2009  21:37
    • Overlord in Training
    Re: Official TSR Mathematical Society
    (Original post by DeanK22)
    question
    answer :p:
  10. Oh I Really Don't Care's Avatar
    1290 01-02-2009  21:49
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by The Muon)
    answer :p:
    Prove that \sqrt{2} + \sqrt{3} is algebraic
    Spoiler:
    Show
    not a good problem
  11. Unbounded's Avatar
    1291 01-02-2009  21:59
    • TSR Demigod
    Re: Official TSR Mathematical Society
    (Original post by DeanK22)
    Prove that \sqrt{2} + \sqrt{3} is algebraic
    Spoiler:
    Show
    not a good problem
    Spoiler:
    Show
    it is a solution of x^4 - 10x^2 + 1 = 0 . i think this suffices...
  12. Oh I Really Don't Care's Avatar
    1292 01-02-2009  22:06
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by GHOSH-5)
    Spoiler:
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    it is a solution of x^4 - 10x^2 + 1 = 0 . i think this suffices...
    A quaint paper 2 question;

    4) Prove there are infinitely many integers [distinct] that are positive such that x^2 + y^3 is divisible by x^3 + y^2
    Last edited by Oh I Really Don't Care; 01-02-2009 at 22:11.
  13. Unbounded's Avatar
    1293 01-02-2009  22:08
    • TSR Demigod
    Re: Official TSR Mathematical Society
    (Original post by DeanK22)
    A quaint paper 2 question;

    4) Prove there are infinitely many integers [distinct] that are positive such that x^2 + y^3[/late] is divisible by [latex]x^3 + y^2
    is this from a BMO-2?
  14. Oh I Really Don't Care's Avatar
    1294 01-02-2009  22:11
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by GHOSH-5)
    is this from a BMO-2?
    correct
  15. Unbounded's Avatar
    1295 01-02-2009  22:26
    • TSR Demigod
    Re: Official TSR Mathematical Society
    (Original post by DeanK22)
    correct
    out of curiosity, do you actually have a solution to the problem?
  16. Oh I Really Don't Care's Avatar
    1296 01-02-2009  22:27
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by GHOSH-5)
    out of curiosity, do you actually have a solution to the problem?
    I do
  17. Oh I Really Don't Care's Avatar
    1297 01-02-2009  22:33
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by JohnnySPal)
    I know I'm being hick here, but why doesn't the solution set {(x,x) : x \in \mathbb{N}}
    Oh. Yeah I made that mistake at the first time I read it.

    (x,y) are such that x \ne y - distinct.
  18. Unbounded's Avatar
    1298 01-02-2009  22:43
    • TSR Demigod
    Re: Official TSR Mathematical Society
    (Original post by DeanK22)
    I do
    a hint by any chance?
  19. Oh I Really Don't Care's Avatar
    1299 01-02-2009  22:46
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    (Original post by GHOSH-5)
    a hint by any chance?
    It would considereably give the game away as the hint is the solution.

    Spoiler:
    Show
    Don't open three spoilers below before thinking hard
    Spoiler:
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    Why wlog can you assume something about (x,y) ?
    Spoiler:
    Show
    assume y > x
    Spoiler:
    Show
    y = kx
  20. Oh I Really Don't Care's Avatar
    1300 01-02-2009  23:10
    • TSR Demigod
    • Location: Mind your bleeding own you two bob ****
    Re: Official TSR Mathematical Society
    Solution;

    Spoiler:
    Show
    Let y = kx \Rightarrow \frac{x^2 + y^3}{x^3 + y^2} = \frac{x^2 + k^3x^3}{x^3 + k^2x^2} = \frac{k^3x + 1}{x + k^2} = \frac{k^3x + k^5 - k^5 + 1}{x + k^2} = k^3 - \frac{k^5 - 1}{x + k^2} It is clear that k^5 - 1 = n(x + k^2) for some n. You can take it that \frac{k^5 - 1}{x+k^2} = 1 so x must be k^5 - k^2 - 1 and therefore y = k^6 - k^3 - k
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