Canada | Math Olympiad | A Nice Algebra Problem

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Пікірлер: 20

  • @roberthayter157
    @roberthayter1578 күн бұрын

    Really excellent. Thank you.

  • @user-qf8sq5vq8h
    @user-qf8sq5vq8h16 сағат бұрын

    Самый простой способ. Делаем замену а=10 100=10x10 b=9 81=9x9 19=a+b Ставим буквы вместо цифр. Вычисляем, делаем сокращения. Меняем буквы на цифры и извлекаем корень из дроби. Good luck!

  • @golokran
    @golokran7 күн бұрын

    Возня ради возни. 19 в четвёртой степени я в столбик посчитаю гораздо быстрее

  • @honestadministrator
    @honestadministrator4 күн бұрын

    a^4 + b^4 + ( a + b)^4 = a^4 + b^4 + ( a^2 + b^2 + 2 a b)^2 = 2 ( a^4 + b^4 + 2 a^2 b^2 + 2 a b ( a^2 + b^2) + a^2 b^2) = 2 ( a^2 + ab + b^2) ^2 Here in a = 10, b = 9 Hereby given expression = √ (( a^4 + b^4 + ( a + b) ^4) /2) = a^2 + a b + b^2 = 100 + 90 + 81 =271

  • @ManojkantSamal
    @ManojkantSamal3 күн бұрын

    271

  • @gemryabgm4248
    @gemryabgm42486 күн бұрын

    10:11 the number look familiar

  • @zonked1200
    @zonked120010 күн бұрын

    Why does everyone re-write the same problem below?

  • @jasonvuong2656

    @jasonvuong2656

    9 күн бұрын

    They want to get the time for the video.

  • @Benevezzioficial

    @Benevezzioficial

    7 күн бұрын

    Skill issue

  • @prime423
    @prime4233 күн бұрын

    What is the plan? Why were the numbers 81,19 and 100 used? Could it be by rearranging the terms, we have a perfect square? Please do NOT cancel the square root and square. The sq root of x squared is NOT x but the absolute value of x.

  • @AndySaenz924
    @AndySaenz9245 күн бұрын

    What’s the point of solving it by hand when you can just punch it into a calculator?

  • @jasongoldman3850

    @jasongoldman3850

    Күн бұрын

    Using a calculator is too easy.

  • @seseroauodriguesrodriguamuoes

    @seseroauodriguesrodriguamuoes

    5 сағат бұрын

    1000 2. 81 2. 19332597&cost_cpa 9

  • @seseroauodriguesrodriguamuoes

    @seseroauodriguesrodriguamuoes

    5 сағат бұрын

    2

  • @fabiosoares6423
    @fabiosoares64236 күн бұрын

    wtf why all that when you could’ve just taken off the 2 powers of all and made the calculations like: 100+81+ 19x19/ 2

  • @mse326

    @mse326

    6 күн бұрын

    You can't just eliminate the powers with a sum under the radical. That can be done if it is only multiplication and division.

  • @44sashilo10

    @44sashilo10

    6 күн бұрын

    avg fat black guy

  • @franciscozorzoneto9398
    @franciscozorzoneto93989 күн бұрын

    Dear master, I checked the result with the calculator and it doesn’t match. It’s 91,98… not 271. What’s wrong?

  • @leoniedejong9549

    @leoniedejong9549

    9 күн бұрын

    You probably did 19 squared and not to the fourth power.

  • @user-ui6hk4em6l
    @user-ui6hk4em6l9 күн бұрын

    271

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