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Maths Fun 3

October 9, 2006

இன்னும் ஒரு கணக்கு

சரிப்பா அந்த கணக்குல பூஜ்ஜியத்தை பூஜ்ஜியத்தால வகுக்க முடியாதுன்னு சொல்லிட்டீங்க..

இதற்கு என்ன சொல்லீற்ங்க?

6 = 6 (இது ஓகேவா?)

-6 = – 6

4 – 10  = 9 – 15  (எந்த குழப்பமும் இல்லையே?)

4 – 10 + 25/4 = 9 –  15 + 25/4

(இரண்டு பக்கமும் 25/4 சேர்த்து இருக்கேன்)

2*2 – 2*2*(5/2) + (5/2)*(5/2) = 3*3 – 2 * 3 * (5/2) + (5/2)(5/2)

(கொஞ்சம் மாத்தி எழுதி இருக்கு அம்புட்டு தான்..)

(2 – 5/2)^ 2 = (3 – 5/2) ^ 2

[( a – b) ^2 = a*a – (2*a*b) + b*b]

(2-5/2) = (3- 5/2)

2 =  3

இப்ப என்னா செய்வீங்க அ..இப்ப என்னா செய்வீங்க..உட்டாலங்கடி இப்ப என்ன செய்வீங்க?


விழியன்
(பத்தாம் வகுப்பில் கற்றது )

15 Comments leave one →
  1. benjamin permalink
    October 9, 2006 4:00 am

    AhA… vanthuttAnyAA,,,

  2. கோபு permalink
    October 9, 2006 4:22 am

    இந்த கணக்க already தேவையன அளவு அலசிட்டதனால இந்த கணக்குக்கெல்லாம் யார் father னு நம்ம Grand Master பிரதீப் கிட்ட analyse பண்ணிட்டு வரேன்…….

  3. Manickam permalink
    October 9, 2006 4:24 am

    Sari Sari… Nadathunga…Nadathunga… Kaamidi keemidi…???!!!

  4. Prakash... permalink
    October 9, 2006 4:29 am

    Nice…

    Find more…

    All the best..

    Regards,
    Prakash.A

  5. October 9, 2006 4:56 am

    #

    இந்த கணக்க already தேவையன அளவு அலசிட்டதனால இந்த கணக்குக்கெல்லாம் யார் father னு நம்ம Grand Master பிரதீப் கிட்ட analyse பண்ணிட்டு வரேன்…….
    சீக்கிரமா வாங்க..அவர் 20 கேள்வி தான் கேட்பார்..

  6. Prakash... permalink
    October 9, 2006 5:23 am

    The flaw lies in taking only positive square roots. To explain it lemme give u an example:
    for instance:

    (2)square= (-2)square
    so, 4=4
    therefore, if we apply square root to the preceding equation,
    we get, root(4)=root (4)
    therefore, +-2 = +-2

    But , we cant say +2=-2(which is obviously wrong) and vice versa

    Therefore, the whole process willl work only when we have simlar signs on both sides

    And in accordance to this example, the previous solution to the problem 3=2 is flawed.

  7. Prakash... permalink
    October 9, 2006 5:26 am

    The above explanation is given by One of my Friends..not by me..So all credit should go to her only…

  8. October 9, 2006 5:43 am

    உங்க தோழிக்கு ஒரு சபாஷ்..:-)

  9. rajesh chellappa permalink
    October 9, 2006 6:26 am

    (2-5/2)^2 = (3-5/2)^2

    2-5/2 = (plus or minus) (3-5/2)

    if you take 2-5/2 = 3-5/2 its wrong because

    a will be equal to b if and only if a-b is zero

    so 2-5/2 is obviously -(3-5/2). therefore the proof is wrong.

    This is even worse…

    oru chinna appeal…we are engineers…don’t make fun
    of Math with such stupid proofs…

    Math is next to GOD!!! for engineers…

  10. October 9, 2006 6:40 am

    Rajesh,

    Everyone knew there is flaw in both the proofs. These infact gives a deeper understanding of Maths. Maths need to be made more fun and the concepts need to be understood by common man too. I have no intention to make fun of maths, but we can have fun in maths thats my whole idea.Is this wrong?

    Maths is next to GOD!! No doubt.

    Regards
    Umanath

  11. Rajesh permalink
    October 9, 2006 9:13 am

    Umanath,

    See da, I said this only because this fun-3 proof i’ve received as a mail long back from one of my friends and that guy to my shock had not only written the ugly proof but also said that this proof is found from ramanujam’s notebook…

    I replied to him why this is wrong and I was also not able to tolerate that fellow quoting this ugly proof as something that was found in ramanujam’s note..

    Math is such a lovely subject but unfortunately is not received properly by many people due to the fear of it…

  12. October 9, 2006 9:24 am

    Rajesh,

    உங்க ஆதங்கம் புரிகின்றது.

    கணக்கும் மூது அனைவருக்கும் காதல் வரவேண்டும் என்பதே என் ஆவல்🙂

  13. Chairma permalink
    October 10, 2006 2:43 pm

    Nice one Vizhiyan…
    Itharku mun ithai arinthirunthalum Ungal ஆவல் niraiverave அனைவருக்கும் ஆவல்.

    Chairma

  14. rajesh chellappa permalink
    October 11, 2006 4:37 am

    Thanks umanath!!

    kannaku matrum ariviyal paadangal meethu oru aasai
    valakara mathiri palli kuzandhaigaluku paadam sollikuduka thiru kalam avargal aasai padararu na athu onnum satharana aasai illai..

    intha engineering padipukku ellam adipadai kannaku matrum yearbiyal(physics) thane. Athilum Mathematics is the language of science enbathu marukka mudiyatha unmai.

    oru nalla scientific developments ku adipadai kaaraname mathematics. eppodavadu time irundal “The story of Mathematics”, “The story of physics”, “Of Men and numbers” inta books padichu paaru…

  15. bagya permalink
    January 17, 2008 1:32 am

    enna ennamo pesareenga ellarum… naan paavam.. but still vedikkai pakka nalla irunthuchu.

    epdinga ipdi ellam yosikka mudiyuthu ungalale.. ennamo nadathunga

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