A Very Challenging School Question Using Indices | Can you Solve it?

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  • Опубликовано: 4 фев 2025

Комментарии • 110

  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor  3 года назад +9

    If anyone would like to support the channel you can buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +2

      @understand ? This is not a GCSE question it’s just a question that can be solved using GCSE skills! Nothing to fear 😁🙏🏼

  • @QuaternionPhysics1
    @QuaternionPhysics1 3 года назад +7

    SMOOTH TRANSITIONS BROTHER, YESSS LOVE THIS!!!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +4

      Haha thanks it took ALOT longer than my normal videos and it’s only 5 minutes long so I’m glad you enjoyed it! 😁👍🏼

    • @QuaternionPhysics1
      @QuaternionPhysics1 3 года назад +4

      @@TheGCSEMathsTutor Quality over quantity, my friend, you are doing incredible job 👍

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      @@QuaternionPhysics1 Thank you so much 😁🙏🏼

  • @CookieMinister
    @CookieMinister 3 года назад +2

    wow yay!!! I like how this is a new series and there's especially picked questions, I've been revising for other tests so I hadn't gotten a chance to watch these videos but I'll start right now! ❤

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      So glad you like them! They’re all pretty tough but well worth having a go at, some really beautiful mathematics within them! Which topics are you working on? 😁

  • @ricardo-c4l7l
    @ricardo-c4l7l Год назад

    Thank you! I now have a better understanding of solving these types of questions. Very slick presentation. Much better than your handwritten solutions (less messy) although I appreciate it probably takes quite a lot of your time designing and programming them.

  • @pogo_master_23
    @pogo_master_23 3 года назад +4

    Wow, nice little revision; thanks! I definitely like these kind of videos!

  • @theredstonebuilder1120
    @theredstonebuilder1120 3 года назад +4

    Love this sort of video, makes maths more challenging but not at a level we can't do.
    I got x is -2 and 2 for this, but didn't think about the denominator. Lesson learnt for next time!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +2

      So glad you enjoyed it! I picked these questions super carefully for that reason! I need to find another 5 now to do another challenge question week 😁🙏🏼

  • @14x23
    @14x23 3 года назад +5

    你好,导师先生,我很荣幸有你作为我的导师,因为我在数学方面很挣扎,在你的帮助下,我能够在 9 年级的数学考试中取得优异成绩 因为我住的地方我只能上网 1 小时,所以我把我所有的时间都用在你的视频上,如果你能固定我的信息,我会很高兴的 感谢您的帮助

    • @tokyo7671
      @tokyo7671 3 года назад +1

      他读得懂中文吗

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      Amazing news I’m so happy that the channel is working for you! Keep up the fantastic work I’m so glad to hear that you are finding it so useful 🙏🏼🙏🏼

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      @@tokyo7671 Sadly not.. 😭😭

  • @t0rteli
    @t0rteli Месяц назад +1

    4:07 why is 16 not negative ? I thought the negative applies to eveything

    • @gh0st4L
      @gh0st4L 28 дней назад

      the thing is, when you root the -4 that you'll get, you're still getting plus or minus 2 in the end so it's wtv

  • @BobBob-uv9fq
    @BobBob-uv9fq 2 года назад +1

    One thing that concerns me about maths study ,in general,is that the rules can always be applied but unfortunately life is not like that ,

  • @rainb1750
    @rainb1750 2 года назад

    14:16 2x was multipled to the to part of fraction leaving behind a 1 way was the 1 not added to to 16

  • @swldnsstory9843
    @swldnsstory9843 3 года назад +1

    We need more of these challenge videos!!!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      Glad you liked it! Another one coming tonight 😁👍🏼

  • @Faisalbarmiboy-gn4bh
    @Faisalbarmiboy-gn4bh Год назад

    Wow ! what a wonderful explanation and Salute to my best, terrific, cool teacher❤❤❤❤

  • @chukwuemekaoluchi-cq6ru
    @chukwuemekaoluchi-cq6ru 6 месяцев назад

    U're a great teacher ❤❤❤

  • @markdavis9990
    @markdavis9990 11 месяцев назад

    Great question. One of these a week would be good revision

  • @garyhughes1664
    @garyhughes1664 3 года назад +3

    Looks like a great series, though I enjoy all of your videos and have learned something from each of them. A question I’d love to see you solve is to find ‘r’ (sometimes written as ‘i’) in an annuity formula. I remember once trying to make each letter the subject in such a formula, but got stuck with ‘r’, which appears twice, before being told by someone it cannot be done. I once saw a video where a ‘brute force’ method was used to get an approximation of ‘r’. Yet it’s still baffling to me why, through some clever factorisation and knowledge of algebra, that ‘r’ cannot be made the subject. Pls consider covering this in a future video.

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +2

      So glad to hear that you like them!! A very interesting question you’ve put forward there, I’ll definitely have a look!! Thanks for that 😁🙏🏼

  • @AK4.1
    @AK4.1 2 года назад +1

    Thank you sir for the amazing video's, I've improved from a 6 to a 9 thanks to you so thank you very much. Just one question, is it possible for these kinds of questions to come up on paper 2 edexcel higher 2022 since on paper 1 there was a quite a nasty question involving circles at the end. If so could you please do more of these kinds of nasty questions involving multiple gcse skills. Thank you for the amazing work you put into these videos.

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 3 года назад +3

    Great sir really good!!

  • @thomasparsons3166
    @thomasparsons3166 3 года назад +18

    Hi there,
    I’m a student in year 11 and I have found your videos really useful. I have mocks coming up in November and was wondering if you could possibly go over the hardest topics in gcse in more depth as I watched your grade 6-9 video and thought it was very helpful.
    Thanks :)

    • @messithegoat6523
      @messithegoat6523 3 года назад +3

      go through the topics younfind hardest in the videos he has
      for e.g quadratics simultaneous equation or quadratics inequalities he has videos on every single topic in gcse
      good luck would recommend if you finish all the topics for your subjects by January and then revise by using exam papers

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +2

      I’ve got just what you’re looking for… check this out: ruclips.net/video/9Xa29nW_WYA/видео.html 😁👍🏼 glad you enjoyed the 6-9 revision video!!!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +3

      This is amazing advice!! 👏🏼👏🏼👏🏼

  • @zaidiusa1159
    @zaidiusa1159 3 года назад +1

    Thanks for teaching easy way.

  • @abdulajij150
    @abdulajij150 3 года назад +1

    Really good question nice to see you still going keep up the good work and hard questions it's very beneficial

  • @tokyo7671
    @tokyo7671 3 года назад +1

    Good revision for oct/ nov igcse math exam

  • @ghelassamin1118
    @ghelassamin1118 2 года назад

    Amazing explain and smart way to resolve.

  • @Sunnysingh-sc6tq
    @Sunnysingh-sc6tq Год назад +1

    I can easily solve this type of questions sir 💯💯 but it's a nice question

  • @randompersonontheinternet5280
    @randompersonontheinternet5280 9 месяцев назад

    thanks this is rly helpful !!

  • @jalepolad1666
    @jalepolad1666 3 года назад

    Amazing explanation 😊

  • @Midhuns_World..
    @Midhuns_World.. Год назад +1

    I wanna raise a problem i faced in this video, that i didn't like!!
    0:22 - 0:27 { the time given to write down the question was not enough } i could barely finish the first part of it...
    This is not fair...
    So kindly note that from your next video, plz give enough time to write down the question!! 😁😂😂😆😆🤣🤣

  • @jackjohnson1001
    @jackjohnson1001 3 года назад +2

    Quick question, at 3:55
    why would it be -2x^3 PLUS 4x^2 and not minus 4x^2, since the equation for that side is:
    2x(-x^2-2x) which would give -2x^3-4x^2
    Thanks!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +2

      The negative that I applied to the numerator changed both the signs on the LHS, effectively I multiplied both x^2 and -2x by the -2x from the RHS denominator 😁🙏🏼

  • @puremathematician1372
    @puremathematician1372 2 года назад

    Post more questions like this

  • @funanime7461
    @funanime7461 7 месяцев назад +1

    Bruh jardest qoston my ass. Solved iy in a min
    Doing maths after a year
    Of course i am asian!

  • @messithegoat6523
    @messithegoat6523 3 года назад +16

    took me a quite a while but eventually figured it out (in yr 12 by the way)

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +3

      Amazing news, well done!! This is perfect for all ages wanting a challenge, are you enjoying A Level maths? 😁🤞🏼

    • @KalHiwatari
      @KalHiwatari 3 года назад +5

      I figured it out in 3 secs...

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      @@KalHiwatari Next level that is… 👏🏼

    • @messithegoat6523
      @messithegoat6523 3 года назад +1

      @@TheGCSEMathsTutor tbh i am kinda behind on my topics but i will practice and eventually will get there

    • @messithegoat6523
      @messithegoat6523 3 года назад

      @@TheGCSEMathsTutor also can u do some of the statistics topics as i am quite bad with them for e.g. correlation and interpolation baisically all the graph stuff in pure and statistics as i am really bad in them cause we did not them in gcse

  • @BobBob-uv9fq
    @BobBob-uv9fq 2 года назад

    Incidentally I do like the video format ,

  • @gts5646
    @gts5646 3 года назад +2

    Thanks sir

  • @guywren4801
    @guywren4801 3 года назад +1

    Nice!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      Glad you liked it! Have you tried any of the others yet? They’re all linked in the description 😁

  • @RansfordTimothy-fl5rj
    @RansfordTimothy-fl5rj Год назад

    We love it❤

  • @2bestsistersforever696
    @2bestsistersforever696 Год назад

    did u make this question? or is it from a past paper?

  • @tobiashunt1170
    @tobiashunt1170 3 года назад +1

    thank you

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      No problem! Have you checked out the others too? Hope you liked them! 😁🙏🏼

    • @tobiashunt1170
      @tobiashunt1170 3 года назад +1

      @@TheGCSEMathsTutor yeah I use your videos all the time when it comes to maths revision, but I’m not usually logged into so I can’t leave a like and comment but sure to share videos with friends who need it now. Really good and can see loads of effort put into the videos . Thank you very much

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      @@tobiashunt1170 amazing I’m so glad to hear that! Please do keep me updated on how you get on I love to hear it! So glad you’ve been sharing the channel, thank you 😁🙏🏼

  • @dasher12xd35
    @dasher12xd35 3 года назад +1

    Nice!!!!! Let’s go

  • @joeridge1220
    @joeridge1220 3 года назад +1

    Is there a problem with having a negative root when you stick -2 into the RHS?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +2

      Thankfully no! -8√9 can be written as 9^(1/-8) which results in the answer 0.7598… 😁🙏🏼

  • @md.tarick1uzaman141
    @md.tarick1uzaman141 4 дня назад

    -x*2-2x/16-2x*3=1/2x that's the equation .yes it is

  • @youngtroy7545
    @youngtroy7545 3 года назад +5

    I have solved it without any help! I read the question from the thumbnail lol. (Year 11)
    (please do more of these videos, this was fun) - Thank you :)

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      Wooow go you! Amazing news, this is a tough one 🥳 I’ll have another one ready for next week and I’ll try to make lots more if people like them! 🤞🏼

  • @masahalsabbagh1504
    @masahalsabbagh1504 2 года назад +1

    will this come up on a gcse paper 2022

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 года назад

      Highly unlikely! But some of the skills used will do 😁🙏🏼

  • @tahakarim1901
    @tahakarim1901 3 года назад

    Hi sir.. can I please ask where you teach maths?

  • @QuaternionPhysics1
    @QuaternionPhysics1 3 года назад +3

    I would love to see a geometry style question next. Feel as if I need to improve my problem solving on geometry and visualisation.
    It’s fun as every lesson in my Maths A-Level lesson, we do a tough problem solving question that requires stuff we learnt at GCSE as a starter, and this is like that
    😄

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      Amazing idea! I tell you what, I’ll make the next one geometry based, it’s certainly going to test my animation skills but so have one in mind!!
      I love that you have problems like these to start your lesson, I really like that style of teaching you should give this one to your teacher and see if they like it!
      Thanks for the idea for the next one 😁🙏🏼

    • @QuaternionPhysics1
      @QuaternionPhysics1 3 года назад +1

      @@TheGCSEMathsTutor Thank you soo much!! And great idea! I’m sure my teacher and classmates will find this helpful

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      @@QuaternionPhysics1 hope the geometry question lives up to your expectations! Here it is: ruclips.net/video/dDFpORI9jaY/видео.html 😁🙏🏼

    • @QuaternionPhysics1
      @QuaternionPhysics1 3 года назад +1

      @@TheGCSEMathsTutor Really did, such a simple question with not so simple solution. Loved it and was fun to do! :)

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      @@QuaternionPhysics1 So glad to hear that! Thanks again for the idea 😁🙏🏼🙏🏼

  • @Tepedi
    @Tepedi 3 года назад +1

    I have a pre mock tomorrow. Wish me luck

  • @BobBob-uv9fq
    @BobBob-uv9fq 2 года назад

    Does the fact that everything can be fitted into a nice ,sum ,have relevance in the real world

  • @3hafi
    @3hafi 3 года назад

    💯

  • @AbizeraJeandamoul
    @AbizeraJeandamoul 10 месяцев назад

    Nice😅 explanation

  • @ak_-zc4kb
    @ak_-zc4kb 3 года назад +2

    bruh i’m in year 10 we just did fractional indices fuck this shit

  • @moishe43
    @moishe43 2 года назад

    2 and -2?

  • @santiagoaramburu7802
    @santiagoaramburu7802 4 месяца назад

    Yes I can solve it

  • @PG8240
    @PG8240 Год назад

    Anyway, easy thought I thought it hard

  • @kev4623
    @kev4623 9 месяцев назад

    very easy just looks hard

  • @abdulraheemhabeeb6921
    @abdulraheemhabeeb6921 3 года назад +3

    Noice

  • @ktmsrealty2082
    @ktmsrealty2082 2 года назад +1

    i think it is 8

  • @SH-yy2bb
    @SH-yy2bb Год назад

    This was the easiest.

  • @copiryte9535
    @copiryte9535 3 года назад

    Haven't watched the video yet but this is my solution
    make bases the same:
    (3)^-1[(x^2-2x)/16-2x^3)]=(9)^1/4x
    (3)^-1[(x^2-2x)/16-2x^3)]=(3)^(2 * 1/4x)
    (3)^-1[(x^2-2x)/16-2x^3)]=(3)^1/2x
    log base 3 both sides
    log_3{(3)^-1[(x^2-2x)/16-2x^3)]}=log_3{(3)^1/2x}
    -1[(x^2-2x)/16-2x^3)]=1/2x
    (-x^2+2x)/16-2x^3=1/2x
    times 2x(16-2x^3) on both sides / cross multiply
    2x(-x^2+2x)=16-2x^3
    -2x^3+4x^2= 16-2x^3
    4x^2=16-2x^3+2x^3
    4x^2=16
    x^2=+-2
    Edit it's basically exactly the same as the video (you don't need to know what log is)