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Math Olympiad Exam | Lambert W Function

561K views · Aug 3, 2023 · Education

Comments · 679

  • @김태현-x4x · 2 years ago

    I hope my car navigation NEVER gives me the directions like this

    29

  • @mikeinjapan2004 · 2 years ago

    Only mathematicians appreciate this elegant solution! Nice introduction to Lambert function.

    86

  • @Tempest32_ · 2 years ago (edited)

    Everyone is acting like what he did in this video uses unnecessary steps, but the goal of this video is not just to teach you how to solve 3^x+x=30, it is to teach you how to use the Lambert function to solve for x in similar situations.

    35

  • @omarkandou6794 · 3 years ago

    We can just notice that 3power(3)+3=30. Since the function x------3power(x)+x is increasing. Then 3 is the unique solution.

    592

  • @johnhebert3855 · 5 months ago

    A rare instance where the right side of the equation can be put into the W form and simplified with a actual number.  Nice.

    1

  • @かーぼん_1125 · 3 years ago

    3が解になって左辺は明らかに単調増加関数だから3しか解になり得ないっていうのが一番楽

    5

  • @tungyeeso3637 · 2 years ago

    This is my approach: Plot a graph using y=3^x and y=30-x, the solution can be found where the curves meet. Simple and easy.

    44

  • @Chickenworm9394 · 3 years ago

    Am i the only one who can calculate the answer 3 without even thinking?

    7

  • @matematicasfacilesysencillas38 · 8 months ago

    Great way to solve equations 😊😊😊😊

  • @RobloxIsGarbageNow · 3 years ago

    only reason it looks hard is because “Show your work.” exists

    2

  • @somatematicaemaisnada4648 · 2 years ago

    Wow, this video on Math Olympiad Exam | Lambert W Function is so informative! I appreciate the detailed breakdown and the insights you've shared here.

    2

  • @jayant8363 · 2 years ago

    Beautiful solution. Thank you

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