Japanese|Math Olympiad question|Algebra.

Sdílet
Vložit
  • čas přidán 13. 09. 2024
  • An Algebraic Math Olympiad question. #maths #matholympiad

Komentáře • 22

  • @JJONLINEMATHSCLASSchannel

    Please everyone, after I found the value of 'a', I mistakenly switched the sign from + to -. Am so sorry, kindly ignore the switch and keep on solving with the +, the solution wasn't affected.

  • @ganeshdas3174
    @ganeshdas3174 Před 19 dny +1

    Without conditions the problem will have multiple solutions. Put a

  • @desirekouame3946
    @desirekouame3946 Před 19 dny +1

    CONGRATS ❗ Nice démonstration based on mathematical laws.
    The explanation is clear❗

  • @user-gd6nu3wu2e
    @user-gd6nu3wu2e Před 19 dny

    Thanks so much

  • @victoryinthescriptures4440

    Amazing

  • @chemustogeofrey536
    @chemustogeofrey536 Před 17 dny

    That is what was puzzling me , how + changed to - with no clear explanation but not satisfied, thanks for that wonderful lecture

  • @mikemoody5703
    @mikemoody5703 Před 19 dny

    GREAT JOB SISTER

  • @key_board_x
    @key_board_x Před 19 dny

    2^(a) + 2^(b) + 2^(c) = 148
    2^(a) + 2^(a + b - a) + 2^(a + c - a) = 148
    2^(a) + [2^(a) * 2^(b - a)] + [2^(a) * 2^(c - a)] = 148
    2^(a) * [1 + 2^(b - a) + 2^(c - a)] = 148
    2^(a) * [1 + 2^(b - a) + 2^(c - a)] = 2^(2) * 37 → by identification, you can see:
    2^(a) = 2^(2)
    → a = 2
    [1 + 2^(b - a) + 2^(c - a)] = 37
    2^(b - a) + 2^(c - a) = 36
    [2^(b) * 2^(- a)] + [2^(c) * 2^(- a)] = 36
    2^(- a) * [2^(b) + 2^(c)] = 36 → you know that: 2^(- a) ) 1/2^(a) = 1/2^(2) = 1/4
    (1/4) * [2^(b) + 2^(c)] = 36
    2^(b) + 2^(c) = 144
    2^(b) + 2^(b + c - b) = 144
    2^(b) + [2^(b) * 2^(c - b)] = 144
    2^(b) * [1 + 2^(c - b)] = 2^(4) * 9 → by identification, you can see:
    2^(b) = 2^(4)
    → b = 4
    1 + 2^(c - b) = 9
    2^(c - b) = 8
    2^(c - b) = 2^(3)
    c - b = 3 → recall: b = 4
    → c = 7

  • @LifnaCabi
    @LifnaCabi Před 19 dny

    Mãe,J.J. linda como matemática,muito obrigado,está aperfeiçoar cada vez mais agora sinto alegria no estou aprender consigo!❤❤😂
    Traduzir para inglês.

  • @BiswajitSaha-nv6zr
    @BiswajitSaha-nv6zr Před 19 dny

    128+16+4=148
    a=7,b=4,c=2

  • @muzalia5938
    @muzalia5938 Před 18 dny

    You just switched the + to - sign

    • @JJONLINEMATHSCLASSchannel
      @JJONLINEMATHSCLASSchannel  Před 18 dny

      Am sorry, that was a mistake. A bit after that, I noticed that I corrected that. Please ignore. The solution is still right

  • @user-db1vo9ee7x
    @user-db1vo9ee7x Před 19 dny

    Should that 8 be negative or positive ?

    • @asratminase6123
      @asratminase6123 Před 19 dny

      It should be negative as the last equation but she made a mistake changing + to - and she wrongly corrected that. Does not change the final answer.

  • @elalaouimhamdi3367
    @elalaouimhamdi3367 Před 19 dny

    + not -

  • @edwinnkwenti2741
    @edwinnkwenti2741 Před 18 dny

    JJ you are doing a great job. But please check your solution again. Please make the correction in another video.
    Somewhere after you had your value of a you switch your signs from + to - .

  • @edwinnkwenti2741
    @edwinnkwenti2741 Před 18 dny

    Hi JJ how you come transition from 1 - 2 raised,c /2raised b = 9 to 2raised to c / 2 raised b = 8. ?????
    You supposed to have
    - (2 raised to c/ 2 raised to b )= 8
    So what happened to your minus sign in front of 2raised to c/ 2 raised b ??????