Japanese | Math Olympiad | A Nice Algebra Problem

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Пікірлер: 13

  • @shlokthosar8094
    @shlokthosar809414 күн бұрын

    Good soln

  • @Beach_Volleyball
    @Beach_Volleyball16 күн бұрын

    nice sol

  • @AndyReyNard
    @AndyReyNard12 күн бұрын

    - 3 ?

  • @alexey9333
    @alexey933315 күн бұрын

    Can we be sure the solution is the only one?

  • @TacoLobster

    @TacoLobster

    15 күн бұрын

    Graphically confirmed via desmos that there is only 1. Logically, x^27 is just a really flat x^3, meaning it has a negative and positive tail based on the cubic; so it passes through the origin at 0, stays close to 0 from (-1,1), then spikes dramatically positively and negatively. 27^(x^2) follows a parabolic shape; its minimum graphically would be 27^0^2, or (0,1). Thus, as x moves left or right, y only increases for 27^x^, and since x^3's point of changing concavity is at 0, there can't really be a second intersection.

  • @soliveirajr
    @soliveirajr15 күн бұрын

    Nice, what is the song?

  • @mathshunter

    @mathshunter

    15 күн бұрын

    You can get the name of the music in description.

  • @soliveirajr

    @soliveirajr

    15 күн бұрын

    @@mathshunter It is not there :(

  • @pushupkid4203

    @pushupkid4203

    15 күн бұрын

    Electric Game by Maximix

  • @mathshunter

    @mathshunter

    15 күн бұрын

    The music is parasail, icing and nine lives.

  • @soliveirajr

    @soliveirajr

    15 күн бұрын

    @@mathshunter Can you post a link for the music from the beginning (the first one)?