A NICE USA OLYMPIAD ALGEBRAIC EQUATION: Check!!

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How to solve this math problem
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Explore the interesting world of exponential equations with varying bases and unlock the power of exponentiation! In this educational video, we delve into the concept of exponential equations where the base is not a constant value. Learn the fundamentals, discover the properties, and master solving equations with different bases, all explained clearly and concisely. Join us on this exponential journey and level up your mathematical prowess!
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Пікірлер: 36

  • @AISEDIONFESTUS-yf2lz
    @AISEDIONFESTUS-yf2lz4 күн бұрын

    Thanks!

  • @Alamaths

    @Alamaths

    4 күн бұрын

    Thank you so much.❤

  • @harrymatabal8448
    @harrymatabal84485 күн бұрын

    I have watched a lot of videos but this one really impressed me. Excellent work Mr Alamaths. Makes you think

  • @Alamaths

    @Alamaths

    5 күн бұрын

    Wow, thanks

  • @slavinojunepri7648
    @slavinojunepri76486 күн бұрын

    Nice

  • @Alamaths

    @Alamaths

    6 күн бұрын

    Thank you

  • @Alamaths
    @Alamaths8 күн бұрын

    Hello My Dear Family😍😍😍 I hope you all are well 🤗🤗🤗 If you like this video about How to solve this math problem Please like and subscribe to my channel as it helps me a lot,🙏🙏🙏🙏 ❤❤❤❤❤❤❤❤❤❤❤

  • @prime423
    @prime4235 күн бұрын

    This is a pattern which repeats. Look at the original equation. Its obvious zero is a solution. This is a combination of 4 consecutive integers. The difference is in signs..The explanation is more important than the solution. This pattern is often seen in tests for mathletes.

  • @Alamaths

    @Alamaths

    5 күн бұрын

    Thank you

  • @moonlightsonata4866
    @moonlightsonata48663 күн бұрын

    Why don't you let a=x^2+17x+71 and b=x^2-17x+71? It will be much easier.

  • @Alamaths

    @Alamaths

    3 күн бұрын

    Okay. Next time thank you. Have you subscribed? ❤❤

  • @amitavadasgupta6985
    @amitavadasgupta6985Күн бұрын

    (x+7)^2+3(x+7)=(x-10)^2+3(x-10)=>17x+70=-17x+70=>x =0

  • @Alamaths

    @Alamaths

    Күн бұрын

    Thank you. You must be a professor Have you subscribed?

  • @user-rw7de5oh1b
    @user-rw7de5oh1b5 күн бұрын

    Проще числитель и знаменатель умножить на выражение стоящее в числителе и ответ виден автоматом х равен нулю чуть преобразовавдробь

  • @Alamaths

    @Alamaths

    5 күн бұрын

    Yes, it is easy. Thank you so much. Have you subscribed? ❤

  • @kshitishmahata8614
    @kshitishmahata861423 сағат бұрын

    If you are not familiar to sumout any problem , why are you demonstrating like othes , steps are incomplete

  • @Alamaths

    @Alamaths

    22 сағат бұрын

    Thank you. Have you subscribed?

  • @user-hc8id2ud5l
    @user-hc8id2ud5l5 күн бұрын

    A primera vista sale x=0

  • @Alamaths

    @Alamaths

    5 күн бұрын

    Thank you so much

  • @remixgameyt1172
    @remixgameyt11726 күн бұрын

    My answer before watching: x=0

  • @Alamaths

    @Alamaths

    6 күн бұрын

    Thank you

  • @jeffthebracketman

    @jeffthebracketman

    5 күн бұрын

    Wrong 0/0 = undefined

  • @remixgameyt1172

    @remixgameyt1172

    5 күн бұрын

    @@jeffthebracketman what? are you stupid? (x+7)(x+8)(x+9)(x+10)/(x-7)(x-8)(x-9)(x-10) if x=0 (0+7)(0+8)(0+9)(0+10)/(0-7)(0-8)(0-9)(0-10)=(7*8*9*10)/(-7*-8*-9*-10)=(1*1*1*1)/(-1*-1*-1*-1)=1/1=1

  • @harrymatabal8448

    @harrymatabal8448

    5 күн бұрын

    Mr Remi you are another great man to admire well done

  • @ChavoMysterio

    @ChavoMysterio

    5 күн бұрын

    @@jeffthebracketman the only roots that would make the equation undefined is 7, 8, 9 or 10.

  • @recanibiat7633
    @recanibiat7633Күн бұрын

    X=0 solution évidente ! c n est pas la peine de continuer même c faut/ c b1 x=0 Vous faites durer la vidéo pour avoir des sous c pas gentil!!!

  • @Alamaths

    @Alamaths

    Күн бұрын

    Thank you. Have you subscribed?

  • @Alamaths

    @Alamaths

    Күн бұрын

    Are you a professor?

  • @ChavoMysterio
    @ChavoMysterio5 күн бұрын

    Numerator (x+7)(x+8)(x+9)(x+10) (x²+17x+70)(x²+17x+72) Let a=x²+17x (a+70)(a+72) (a+70)(a+70+2) Let y=a+70 y(y+2) Denominator (x-7)(x-8)(x-9)(x-10) (x²-17x+70)(x²-17x+72) Let b=x²-17x (b+70)(b+72) (b+70)(b+70+2) Let z=b+70 z(z+2) [y(y+2)]/[z(z+2)]=1 (y²+2y)/(z²+2z)=1 y²+2y=z²+2z y²-z²+2y-2z=0 (y-z)(y+z)+2(y-z)=0 (y-z)(y+z+2)=0

  • @ChavoMysterio

    @ChavoMysterio

    5 күн бұрын

    y-z=0 y=z a+70=b+70 a=b x²+17x=x²-17x 2x²+34x=0 x²-17x=0 x(x-17)=0 x=0 ❤ x-17=0 x=17 ❤

  • @ChavoMysterio

    @ChavoMysterio

    5 күн бұрын

    y+z+2=0 y+z=-2 a+70+b+70=-2 a+b+140=-2 a+b=-142 x²+17x+x²-17x=-142 2x²=-142 x²=-71 |x|=i√71 x=±i√71 ❤❤

  • @Alamaths

    @Alamaths

    5 күн бұрын

    But x=0 is the correct answer ​@@ChavoMysterio

  • @ChavoMysterio

    @ChavoMysterio

    5 күн бұрын

    @@Alamaths remember, there are more than just one root, including the non real roots.

  • @Alamaths

    @Alamaths

    5 күн бұрын

    @@ChavoMysterio yes. Thanks