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Thread: The Answer of my Professor Challenge!

  1. #1 The Answer of my Professor Challenge! 
    Forum Freshman Silex7's Avatar
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    hi all,..
    i posted from few days topic says my professor challenge,..and i tried to solve this out but i didnt get it,..but my friend gut it
    the question was saying:
    find all pythagriam Triples (with no common division between a,b&c).(i wasnt so clear in presenting the q in the last topic so here it is again )

    well my friend shoot that:


    *****************

    a number (n) : squared minus 1,4 can NEVER give a number (n) : squared..
    example 9- 1= 8, 9- 4= 5

    so there is No common factor that: (c) is Odd: Csq
    To divide an odd no. squared : is odd into 2 nos.: squared, one square must be even and the other sjould be odd..

    Now let Asq be odd and B sq be even so: A is odd and B is even.

    somehow b is always equal to C- 1
    so the problem is in A:
    so we can made the form like:

    A B C

    3 1(3+1) 1(3+1) +1
    5 2(5+1) 2(3+1) +1
    7 3(7+1) 3(7+1) +1
    9 4(9+1) 4(9+1) +1

    SO, the triplets are:

    ( n; nsq-1/2 ; nsq +1/2)

    when n is odd n is (3,5,7,....)
    *********
    All Rights Reserved to my Friend ™


    "Nothing can be accepted in this world, if it did not pass the mathematical proof."

    Leonardo Da Vinci
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  3. #2  
    Forum Sophomore NimaRahnemoon's Avatar
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    Awesome, sorry I didn't get back to you. I've been busy the past two days and have had guests over. Nice work!


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  4. #3  
    Forum Freshman Silex7's Avatar
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    it's great that u like it ,..actully i was not close to my friend's solution, i like this answer,..seems like numbers game,..
    (donnt carre about being late )
    thx for ure reply

    Silex7
    "Nothing can be accepted in this world, if it did not pass the mathematical proof."

    Leonardo Da Vinci
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  5. #4  
    Forum Junior Vroomfondel's Avatar
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    Maybe its just me, but the formula doesnt work for me. For instance n=3:

    (3, 3sq-1/2, 3sq+1/2) = (3, 8.5, 9.5)

    Not a Pythagorean triplet!
    I demand that my name may or may not be vroomfondel!
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  6. #5  
    Forum Professor river_rat's Avatar
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    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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  7. #6  
    Forum Junior Vroomfondel's Avatar
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    That helps quite a bit! But even the forula they give doesnt give us ALL pythagorean triples that your professor wanted.
    I demand that my name may or may not be vroomfondel!
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