How to Solve Advanced Cubic Equations: Step-by-Step Tutorial

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  • เผยแพร่เมื่อ 13 ต.ค. 2024

ความคิดเห็น • 1.1K

  • @rickykurosawa5662
    @rickykurosawa5662 6 ปีที่แล้ว +465

    Thanks, this is really very helpful..continue your good work.
    Cheers! ❤

    • @PreMath
      @PreMath  6 ปีที่แล้ว +26

      You're very welcome, Ŕicky Kurosawa. Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Best regards :)

    • @aashsyed1277
      @aashsyed1277 3 ปีที่แล้ว +3

      what if our equation is not factorable?

    • @Sandeepyadav2k2
      @Sandeepyadav2k2 3 ปีที่แล้ว +2

      ya😄

    • @jokarmaths7771
      @jokarmaths7771 2 ปีที่แล้ว

      amazing ..th-cam.com/video/JdyMqmnWJi8/w-d-xo.html

    • @arjuncjayan912
      @arjuncjayan912 2 ปีที่แล้ว +1

      Ysss

  • @piyushpriyadarshandas5630
    @piyushpriyadarshandas5630 3 ปีที่แล้ว +3074

    Any bodies here after facing problem in finding characteristics equation for eigen vector

  • @Jasmine-1820
    @Jasmine-1820 2 ปีที่แล้ว +100

    Who is here after facing problems in eigen value roots

  • @bmariani52
    @bmariani52 ปีที่แล้ว +20

    One of the clearest snd cleanesr solutions to a cubic equation.
    This will make solving eigenvalues and eigenvectors easier.

  • @jungwon_luv-152
    @jungwon_luv-152 3 ปีที่แล้ว +14

    i cnt believe i can find a 11min vid clearing up all my doubts when an hour long lesson in my sch just leaves me ???? thanks for this :))

  • @Adomas_B
    @Adomas_B 3 ปีที่แล้ว +40

    With quadratic equations if you put in anything as A B and C you'll get a simple answer. In cubic equations only a fraction of equations are simple, most are very long

  • @FactsSpeakerr
    @FactsSpeakerr 11 หลายเดือนก่อน +3

    Simply put x=1 or -1 and check whether it is equal to 0 or not. That little complicated stuff you showed for checking x=1,-1 came from the same logic but the former idea doesn't need anything to be to be memorized. Thanks for a good explanation in other cases. Liked it.

  • @liyahyus
    @liyahyus 4 ปีที่แล้ว +52

    thank you so much for this 🥺 we learnt this during online school and i didn’t understand a thing 😭 i feel more prepared for my test tomorrow thank youu 🤩

    • @shobhasrivastava3177
      @shobhasrivastava3177 4 ปีที่แล้ว +7

      Same

    • @PreMath
      @PreMath  4 ปีที่แล้ว +12

      You are very welcome Aaliya! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @ahmadmalik3298
    @ahmadmalik3298 5 ปีที่แล้ว +90

    You’re an absolute legend sir, I’m cramming one day before my exams and these tips are so useful sir thank you so much for taking the time and effort to make this video ❤️❤️

    • @PreMath
      @PreMath  4 ปีที่แล้ว +13

      You're very welcome Malik Saab! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

    • @jokarmaths7771
      @jokarmaths7771 2 ปีที่แล้ว

      amazing ...th-cam.com/video/JdyMqmnWJi8/w-d-xo.html

  • @Max-yt7te
    @Max-yt7te 3 ปีที่แล้ว +32

    What just happened that was such a good explanation video idk why but I felt so much smarter. You're really good at this, keep it up :D

  • @Zinab642
    @Zinab642 3 ปีที่แล้ว +28

    Well done our society needs more content like this😊

    • @PreMath
      @PreMath  3 ปีที่แล้ว +7

      Thank you so much Aisha for your continued love and support.
      Take care dear and stay blessed😃 Keep smiling😊
      Enjoy every moment of your life 🌻
      Jazakallah!

  • @leonidasdelossantos3434
    @leonidasdelossantos3434 9 หลายเดือนก่อน +2

    Hello, great video. Those rules you mentioned to find if x = -1, 1 are the solutions, where can I read about it?

  • @sgm9420
    @sgm9420 2 ปีที่แล้ว +7

    It was really very helpful Sir.....I was searching for the video in which for the equation whose x^3 coefficient is not '1'......here I found......Your professional students are very luck.

  • @Adarsh-singh88
    @Adarsh-singh88 23 วันที่ผ่านมา

    One of the clearest and cleaner solution on whole yt .. thanks a lot sir
    Everyone tells put 1,-1,0,2,-2etc but no one tells this method 😮

  • @destinysilas8489
    @destinysilas8489 ปีที่แล้ว +6

    God bless you very much, you're a genius.
    I finally found a lingering solutions to my eigenvalues characteristic determinant.

    • @PreMath
      @PreMath  ปีที่แล้ว +1

      So nice of you, dear
      Thank you! Cheers! 😀

    • @destinysilas8489
      @destinysilas8489 ปีที่แล้ว

      @@PreMath I wish you show a lesson too, about vector spaces.
      And also there're some of the equations I have that are not factorising.

  • @hawardteo2233
    @hawardteo2233 2 หลายเดือนก่อน +1

    This thing was so helpful, it deserved my like and subscribe

  • @jonathan3488
    @jonathan3488 3 ปีที่แล้ว +14

    Thanks for this. I've been working on a new math module and this gave me a really solid start at solving polynomial equations, as these techniques were easy to implement.

    • @PreMath
      @PreMath  3 ปีที่แล้ว +4

      Glad to hear that Jonathan! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃

    • @jonathan3488
      @jonathan3488 3 ปีที่แล้ว +1

      @@PreMath Thank you!

    • @jokarmaths7771
      @jokarmaths7771 2 ปีที่แล้ว

      amazing ...th-cam.com/video/JdyMqmnWJi8/w-d-xo.html

  • @shadrana1
    @shadrana1 9 หลายเดือนก่อน

    2x^3+x^2-13x+6=0
    On observation, x=2 satisfies this equation
    (x-2)=0 is a factor of 2x^3+x^2-13x+6=0
    (2x^3+x^2-13x+6)/(x-2)=(2x^2+5x-3)=0 using synthetic division.
    In 2x^2+5x-3 b^2>4ac therefore 2x^3+x^2-13x+6 has three real roots.
    (x-2)(2x^2+5x-3)=0
    x= -3 is a solution by observation
    (x+3)=0 is a factor of (2x^2+5x-3)=0
    (2x^2+5x-3)/(x+3)=(2x-1)=0 using synthetic division.
    (2x-1)=0 is a factor of 2x^3+x^2-13x+6=0
    Therefore,(2x^3+x^2-13x+6)=(x-2)(x+3)(2x-1)=0
    Hence x=2,x= -3 and x=1/2 are the three real roots of 2x^3+x^2-13x+6=0
    Thanks for the puzzle PreMath.

  • @shortsbyA1Gaming
    @shortsbyA1Gaming 2 ปีที่แล้ว +10

    Who is here after bsc 🤣

  • @syahandholder
    @syahandholder 6 หลายเดือนก่อน

    this is the only helpful video out there on cubic polynomials, i appreciate this so much !!

  • @bishal_bhattaraivlog8336
    @bishal_bhattaraivlog8336 4 ปีที่แล้ว +10

    Finally i found a better way of solving step 👌🏻👌🏻👌🏻

    • @kesabkirannandy5663
      @kesabkirannandy5663 3 ปีที่แล้ว +1

      U also study? 😂😂😂
      I thought u r a big mesy
      😂😂😂😂

  • @engjayah
    @engjayah 3 ปีที่แล้ว

    I think the method explained is rather a trial-and-error approach and the following method will be more logical:
    Let us consider the LHS of the equation as y and as x approaches to plus infinity, y also approaches to plus infinity; similarly, when x approaches to negative infinity, y also approaches to negative infinity.
    What does this mean? This means y is a continues function sloping in the NE-SW direction.
    Meantime, x = 0, y = 6 and x = 1, y = -7 which means that there will be a real root between 0 and 1. As y is sloping in the NE-SW direction, we can deduce that there has to be 3 real distinct roots to y. When x = -1, y = 18;
    This clearly indicates that the 3 real roots to function y namely α, β and γ (say α

    • @eirdonne_
      @eirdonne_ ปีที่แล้ว

      sire, would you consider making a video? a transcript is difficult to follow at once, hence a video such as khanacademy's or this style would be much appreciated. this method may be "easier" however i'm unable to read it/remember it in this format.
      thanks.

  • @vinuthagc9900
    @vinuthagc9900 3 ปีที่แล้ว +11

    Thank u so much . It was very helpful and I was searching for this kind of teaching . l'm happy that I finally found it 😇

    • @PreMath
      @PreMath  3 ปีที่แล้ว +1

      You are very welcome Vinutha! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and stay blessed and healthy😃 Keep smiling😃

  • @manojkantsamal4945
    @manojkantsamal4945 10 หลายเดือนก่อน +1

    In case of cubic equation point of view, At first one of the root should be obtained by applying "hit & trail method "(Although it needs some simplification in some cases ), Then other roots may come out by deviding the first root (suppose the first root is 7, then you have to devide the given equation by x-7), then move on (personal opinion )

  • @timeonly1401
    @timeonly1401 ปีที่แล้ว +3

    The check by comparing the sum of the roots against -B/A is going to come in handy! Thx!!
    Quick Question: Does this answer check work when there are 1 real root and 2 complex roots?

  • @franciscook5819
    @franciscook5819 3 หลายเดือนก่อน

    This is just the way I did it (taking hints from highest power, constant term and Vieta) before seeing the video solution ...
    2x³+x²-13x+6=0
    Looking at the equation.
    Based on the 2x³ term, 2x-1 might be a solution (plug in x=1/2 - it is).
    Based on the constant term x+3 might be a factor (plug in x=-3 - it is).
    Vietas rule/formula says sum of solutions = -b/a
    -1/2 = 1/2 -3 + r (r is the third root)
    r=2
    verfiy ... (2x-1)(x+3)(x-2)=2x³+x²-13x+6
    In this case the guesswork was fine - the above two were the only guesses I tried.
    It is not always so. For example I might have guessed a more complicated (2x+3) as a factor.

  • @zaidsserubogo261
    @zaidsserubogo261 5 ปีที่แล้ว +9

    For sure time is delayed in in certain intervals, but given consistent and smooth paths, time moves in polynomial steps

  • @johntsui4065
    @johntsui4065 2 ปีที่แล้ว +2

    Thank you,in Hong Kong,they did not teach us those interesting properties,and just teach us to aim higher marks

  • @ashleshapatil640
    @ashleshapatil640 3 ปีที่แล้ว +3

    For x= -1 can we have same sum of alternate coefficient but opposite signs?

  • @dhananjayhiwase1171
    @dhananjayhiwase1171 3 หลายเดือนก่อน

    truely speaking thanks for this video it helped me solve a very tough question whose root is 17 and other are complex numbers

  • @butterfly99899
    @butterfly99899 4 ปีที่แล้ว +20

    Thanxxx a lot 😊😊😊
    It really helped me a lot
    I shared the concept amongst my frnds & they were quite surprised that I am studying these days 😂😂😂😂

    • @PreMath
      @PreMath  4 ปีที่แล้ว +6

      You're very welcome Arpita! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear 😃

  • @porterwake3898
    @porterwake3898 10 หลายเดือนก่อน +1

    2 divided by 6 is 3! Brilliant!!!!!!

  • @sainandhana8828
    @sainandhana8828 4 ปีที่แล้ว +5

    Hi! Is there an easier way to find the solutions, since it might take a lot of time during exams to solve all the options. But anyways great video! You helped me a lot

    • @butterfly99899
      @butterfly99899 4 ปีที่แล้ว +1

      Explain that easier way

    • @sainandhana8828
      @sainandhana8828 4 ปีที่แล้ว +3

      @@butterfly99899 that's what I am asking

    • @songoku6425
      @songoku6425 4 ปีที่แล้ว

      @@sainandhana8828 JUST USE ANY SCIENTIFIC CALCULATOR

  • @pauselab5569
    @pauselab5569 ปีที่แล้ว +1

    Hey guys there is a really good explanation of the cubic and quartic formula on the channel mathloger also explains why quintic equations can’t be solved with radicals using Galo is theory

  • @lawlietryuzaki7704
    @lawlietryuzaki7704 2 ปีที่แล้ว +3

    guys this guy is legit doing it the wrong way
    it's like a really basic thing
    we can simply differentiate this equation and then with the gradient solve it for x and y...

  • @eqqq6815
    @eqqq6815 4 หลายเดือนก่อน

    when the maths tutorials so good you start crying tears of joy

  • @jiege02
    @jiege02 4 ปีที่แล้ว +5

    Thanks for giving such easy and simple way to solve this! The way that taught from book which is LONG DIVISION are too complicated tho

    • @PreMath
      @PreMath  4 ปีที่แล้ว +2

      You are very welcome! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

  • @tianxia1wushuang234
    @tianxia1wushuang234 4 ปีที่แล้ว +2

    Solve equation 2x^3+x^2-13x+6=0
    Solve:
    2x^3+x^2-13x+6
    =2x^3-12x^2+24x-16+13x^2-37x+22
    =2(x-2)^3+(13x-11)(x-2)
    =(x-2)[2(x-2)^2+(13x-11)]
    =(x-2)[2x^2-8x+8+13x-11]
    =(x-2)[2x^2+5x-3]
    =(x-2)[(x+3)(2x-1)]
    =(x-2)(x+3)(2x-1)=0
    So
    x-2=0
    x+3=0
    2x-1=0
    So
    x1=2
    x2=-3
    x3=1/2
    Verify:x1=2 or x2=-3 or x3=1/2 are all the root of the original equation
    解方程2x ^ 3 + x ^ 2-13x + 6 = 0
    解答:
    2x ^ 3 + x ^ 2-13x + 6
    = 2x ^ 3-12x ^ 2 + 24x-16 + 13x ^ 2-37x + 22
    = 2(x-2)^ 3 +(13x-11)(x-2)
    =(x-2)[2(x-2)^ 2 +(13x-11)]
    =(x-2)[2x ^ 2-8x + 8 + 13x-11]
    =(x-2)[2x ^ 2 + 5x-3]
    =(x-2)[(x + 3)(2x-1)]
    =(x-2)(x + 3)(2x-1)= 0
    所以
    x-2 = 0
    x + 3 = 0
    2x-1 = 0
    所以
    x1 = 2
    x2 = -3
    x3 = 1/2
    验证:x1 = 2或x2 = -3或x3 = 1/2都是原始方程式的根

    • @tianxia1wushuang234
      @tianxia1wushuang234 4 ปีที่แล้ว

      AN - 09PF - Harold M Brathwaite SS (2482): Because the complex solution shows the students, they would like to learn the easy synthetic division.

  • @AndrewWhise
    @AndrewWhise 3 ปีที่แล้ว +4

    Worked so far! But what do I do if my coefficients are fractions?

    • @PreMath
      @PreMath  3 ปีที่แล้ว +2

      In that case, remove fractions first by find the LCD (LCM).
      Thanks Andrew for asking.
      I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃

  • @livetodraw5939
    @livetodraw5939 ปีที่แล้ว +1

    When you were listing the divisors of P and Q, were those the factors of P and Q? Thank you.

  • @rohtashkumar7185
    @rohtashkumar7185 5 ปีที่แล้ว +143

    0:46 ambulance!!!!

    • @aishwary2047
      @aishwary2047 5 ปีที่แล้ว +11

      Lmao, you listening that sound 😁😁😁,instead of this

    • @otsogileonalepelo9610
      @otsogileonalepelo9610 5 ปีที่แล้ว

      😂😂😂😂 I just couldn't ignore it either 😑

    • @samialboksh4544
      @samialboksh4544 5 ปีที่แล้ว +3

      Are bhai bhai bhai 😂😂🥴

    • @PreMath
      @PreMath  5 ปีที่แล้ว +23

      Wow! you are cool! Thanks for watching. Kind regards 😊

    • @ProfKDAnwar
      @ProfKDAnwar 4 ปีที่แล้ว

      th-cam.com/video/CgcEEQIlpMk/w-d-xo.html

  • @Kotarojujo170
    @Kotarojujo170 ปีที่แล้ว

    Its always the indians making good food and good tutorials

  • @zc2361
    @zc2361 6 ปีที่แล้ว +16

    thankyou so much, you are better than my teacher.

    • @PreMath
      @PreMath  6 ปีที่แล้ว +9

      Dear sun flower, you are very welcome. Thank you so much for taking the time to leave this comment. I'm glad you liked the vid. Your feedback is always appreciated. Keep it up. Kind regards :)

    • @p.k.kumari3493
      @p.k.kumari3493 5 ปีที่แล้ว

      thanks

  • @venominogaming2840
    @venominogaming2840 4 ปีที่แล้ว +2

    Normally putting x=2 in the equation will be quite easier than synthetic division.

  • @sumitnagar8367
    @sumitnagar8367 4 ปีที่แล้ว +6

    This what I want ....Lots of thanks & respect

    • @PreMath
      @PreMath  4 ปีที่แล้ว +2

      You're very welcome! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Take care😃

    • @_vikram_singh_6345
      @_vikram_singh_6345 4 ปีที่แล้ว

      U are from which country sir ?
      U speak english clearly.

  • @richardparcellano899
    @richardparcellano899 ปีที่แล้ว +2

    Is step 2 still applicable when sums the same number "48" but has different signs? For example, 48 and -48.

    • @livetodraw5939
      @livetodraw5939 ปีที่แล้ว

      Maybe you can substitute for x and see if x = -1

  • @krish11984
    @krish11984 4 ปีที่แล้ว +3

    Thanks! And please make a video on trigonometric identities.

    • @PreMath
      @PreMath  4 ปีที่แล้ว +1

      You are very welcome! I've already made few videos on trig. Please search videos in my channel. If you want me to make videos on specific questions, please send it on my email: math@mycollege.org
      Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

  • @Jecoliahh
    @Jecoliahh ปีที่แล้ว +2

    Thank you very much sir.
    This is really helpful. Just keep up making this kinds of helpful videos.

  • @flash_434
    @flash_434 4 ปีที่แล้ว +3

    Thank you so much

    • @PreMath
      @PreMath  3 ปีที่แล้ว +1

      You are very welcome Flash! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

    • @flash_434
      @flash_434 3 ปีที่แล้ว

      @@PreMath aww... Your complement made my day
      ☺☺

    • @MathLab4u
      @MathLab4u 3 ปีที่แล้ว

      We solve as math teachers cubics as well
      You might look at some examples
      th-cam.com/video/ircZ_M1m3I8/w-d-xo.html

    • @MathLab4u
      @MathLab4u 3 ปีที่แล้ว

      Yes absolutely

  • @_sifar
    @_sifar ปีที่แล้ว +1

    thank you so much sir!! Jesus bless you and your family always!

  • @yoshimoshi8065
    @yoshimoshi8065 3 ปีที่แล้ว +10

    this is incredible, im speechless

  • @mery3291
    @mery3291 3 ปีที่แล้ว +2

    thank u tecaher from morocoo (north of africa) i find this video really interesting and it really helped me a lot ♥

    • @PreMath
      @PreMath  3 ปีที่แล้ว +2

      You are very welcome Mery from beautiful Morocco! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃 Keep smiling😊

    • @pharikrishna789
      @pharikrishna789 3 ปีที่แล้ว

      Rabat

  • @amywaweru5584
    @amywaweru5584 4 ปีที่แล้ว +10

    Thank you so much your such a great teacher this really helped me keep on going!

    • @PreMath
      @PreMath  4 ปีที่แล้ว +2

      You are very welcome Amy! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @sudarshanbaurai5326
    @sudarshanbaurai5326 3 ปีที่แล้ว +1

    You are a wonderful teacher and doing best to create good human resource.

  • @motionkings
    @motionkings 5 ปีที่แล้ว +6

    Thanks for making it even more confusing

  • @bmariani52
    @bmariani52 ปีที่แล้ว

    Thank you Sir for a Most Excellent algorithm to solve Cubic Equation.
    Do you have an algorithm to solve ?
    Quartic : (AX^4 + BX^3 + CX^2 + DX + E)
    Quintic : (AX^5 + BX^4 + CX^3 + DX^2 + EX + F)

  • @devdattsonkusare
    @devdattsonkusare 3 ปีที่แล้ว +5

    Thanks for the video, it is really very helpful.

    • @PreMath
      @PreMath  3 ปีที่แล้ว +3

      You are very welcome Devdatt! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃
      1

  • @ShreeHarivansh599
    @ShreeHarivansh599 2 ปีที่แล้ว +2

    Ram ram sitaram sitaram radhe radhe Krishna Krishna ji ki jai ♥ 🙏

  • @vi2768
    @vi2768 3 ปีที่แล้ว +3

    Thank you so much for this!! It was so helpful ^^

  • @_AadiDevSharma
    @_AadiDevSharma 3 ปีที่แล้ว

    Very very very helpful..greal work..👍👍👊👊👊

  • @lakshitapoonia9174
    @lakshitapoonia9174 3 ปีที่แล้ว +4

    Thank you 😊 sir, it helped me a lot .Now I know the best way to solve these type of questions

  • @walikhantutorial9715
    @walikhantutorial9715 3 ปีที่แล้ว

    Please acknowledge me which software used to make video.

  • @paisavasool4635
    @paisavasool4635 3 ปีที่แล้ว +5

    thank you so much sir you have tought me this solution....

    • @PreMath
      @PreMath  3 ปีที่แล้ว +1

      You are very welcome dear! You are awesome 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃

  • @oladimejiopeyemi7433
    @oladimejiopeyemi7433 ปีที่แล้ว +1

    What if it has a negative remainder using the synthetic division?
    What to do sir?

    • @leeban8777
      @leeban8777 ปีที่แล้ว

      Hi can we be friends please ☺

  • @khatariinsaan5284
    @khatariinsaan5284 3 ปีที่แล้ว +3

    You are Awesome Sir !!

    • @PreMath
      @PreMath  3 ปีที่แล้ว +3

      So nice of you dear! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Have a very happy and blessed New Year!

  • @Gabs2345
    @Gabs2345 3 ปีที่แล้ว +8

    Very useful video and succinct tutorial. Thank you for this, cheers!

    • @reaganati3986
      @reaganati3986 2 ปีที่แล้ว

      wtf gabs gamers dont do math

  • @rockrock2377
    @rockrock2377 3 ปีที่แล้ว

    -13X separate to -X-12X then use common factor (2x-1). final like this : (2X-1)(X-2)(X+3)=0.

  • @hejda4101
    @hejda4101 4 ปีที่แล้ว +8

    I miss 5th grade when I thought a+b=c
    Lmao

    • @PreMath
      @PreMath  4 ปีที่แล้ว +4

      Take care dear and all the best😃

  • @aditya.btiwari808
    @aditya.btiwari808 3 ปีที่แล้ว

    i think this the best video ever made on cubic . thank u sir

  • @HeyKevinYT
    @HeyKevinYT 4 ปีที่แล้ว +3

    I love the Rational Roots Theorem

    • @PreMath
      @PreMath  4 ปีที่แล้ว +3

      Thank you so much Kevin for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

  • @koushikbiswas5803
    @koushikbiswas5803 วันที่ผ่านมา

    Newton-Raphson method is a powerful mathematical weapon for this! 💪💪

  • @skills2580
    @skills2580 4 ปีที่แล้ว +4

    It was awesome. It helped me a lot.
    ✌✌

    • @PreMath
      @PreMath  4 ปีที่แล้ว +2

      Thank you so much Harsh ji for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @Gabriel-je2tw
    @Gabriel-je2tw ปีที่แล้ว

    THANKS FOR YOUR HELP! ❤
    LOVE FROM BANGALORE! 🗣

  • @lazybacon5282
    @lazybacon5282 4 ปีที่แล้ว +3

    Really easy to understand sir!

  • @raghupathim5259
    @raghupathim5259 3 ปีที่แล้ว +2

    It's a very good explanation, I understood very much

    • @PreMath
      @PreMath  3 ปีที่แล้ว +1

      Glad to hear that Raghupathi! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

    • @raghupathim5259
      @raghupathim5259 3 ปีที่แล้ว

      @@PreMath thank you

  • @kuldeepsinghjassal5185
    @kuldeepsinghjassal5185 5 ปีที่แล้ว +6

    0.011x³+2.355x²-729.167=0
    Plz solve this

  • @shimaasadeq1314
    @shimaasadeq1314 2 ปีที่แล้ว

    thanks a lot it's very helpful
    but in the last check step, the 2 terms aren't equal is it mean the Sol. is wrong??

  • @jayjain4341
    @jayjain4341 6 ปีที่แล้ว +4

    can I have a solution of this equation from the same solution-:
    z^3-5z^2+7z+21=0
    thank u!

    • @jayjain4341
      @jayjain4341 6 ปีที่แล้ว +1

      Popular Power thnx bro
      but I need full solution from that method

    • @leaveitblank2625
      @leaveitblank2625 6 ปีที่แล้ว +1

      Its your school homework ?😂😂

    • @jayjain4341
      @jayjain4341 6 ปีที่แล้ว +1

      @@leaveitblank2625 bro this thing is not present at school level.

    • @leaveitblank2625
      @leaveitblank2625 6 ปีที่แล้ว +1

      @@jayjain4341 oh?well it's not too hard to solve anyway or you can use online solving website if you want some complex solution 😁 .

    • @jayjain4341
      @jayjain4341 6 ปีที่แล้ว +4

      @@leaveitblank2625 I did it....that's why I came to this video but can't find its answer by this method that's why I asked!

  • @parulkashyap6407
    @parulkashyap6407 4 ปีที่แล้ว +1

    sir aapse ek baat kahu.. Aapko videos HINDI language me bnani chaiyea..
    is se aapki videos ko jaiyada likes and views mil skte hain , koi - koi log to english ko sun kr chle jate honge, sir aapko Humari simple language me pdhana chaiyea..i.e HINDI + ENGLISH..
    ..........
    ..........
    PLEASE SIR DON'T TAKE IT SERIOUS... I'm only giving you an advise.
    aapko leni hai to lo vrna 👀jaane do..🙆‍♀️🧏‍♀️😜😜
    But sir THANK you so much for this video..
    NoW this is clear to me coz of you..
    thnku once again🙇‍♀️🙆‍♀️😀🙃
    one like from my side👍👍

    • @PreMath
      @PreMath  3 ปีที่แล้ว +1

      Dear Parul, my Hindi is not that perfect. Meri hindi itni achi nahi hai...
      So nice of you. I'm sure you are a brilliant and bright student 👍
      Thank you so much for your continued love and support. Take care dear and all the best😃

    • @parulkashyap6407
      @parulkashyap6407 3 ปีที่แล้ว

      @@PreMath Thank you sir😊😊😊

  • @nr6728
    @nr6728 4 ปีที่แล้ว +3

    That was awsome thank you

    • @PreMath
      @PreMath  4 ปีที่แล้ว +1

      You are very welcome dear! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

    • @nr6728
      @nr6728 4 ปีที่แล้ว +1

      @@PreMath Your command is my wish i would share your videos as much as possible ❤

    • @PreMath
      @PreMath  4 ปีที่แล้ว +1

      @@nr6728 Thanks dear. You are awesome. Stay blessed 😃

  • @adrian9061
    @adrian9061 ปีที่แล้ว

    thank you for saving my life

  • @kailenmissen4465
    @kailenmissen4465 3 ปีที่แล้ว +4

    Thanks so much this was incredibly helpful, so clear and straightforward!

    • @PreMath
      @PreMath  3 ปีที่แล้ว +1

      You are very welcome Kailen! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @SNTz55
    @SNTz55 ปีที่แล้ว

    Thanks, I've been trying to solve the cubic for so long, and this video helped me a lot. Thanks again.

  • @ashishdeshlahra00
    @ashishdeshlahra00 5 ปีที่แล้ว +5

    Nice....but it's a time taking procedure

  • @mightymagnus-m4n
    @mightymagnus-m4n 6 หลายเดือนก่อน +1

    At 1:30, to solve a cubic equation, why is it that if the sum of all coefficients sum to 0, 1 is always a solution?

    • @Duckeii
      @Duckeii 9 วันที่ผ่านมา +1

      if u plug in x for 1 into the equation, it equals 0

    • @mightymagnus-m4n
      @mightymagnus-m4n 9 วันที่ผ่านมา

      @@Duckeiigot it! Thank you so much!

  • @krishnasingh5190
    @krishnasingh5190 5 ปีที่แล้ว +17

    He was even slower then sloth 🤣🤣😂😂🤣🤣

  • @rice3844
    @rice3844 2 ปีที่แล้ว +2

    this is so helpful, thank you sir! gonna pass my test now

  • @martyjtv7039
    @martyjtv7039 4 ปีที่แล้ว +3

    omg thank you for this example only one i could find with everything i needed to studuy

  • @prabhavathi1899
    @prabhavathi1899 4 ปีที่แล้ว +1

    Ur Explaination is just awesome

  • @Goingtomarsland
    @Goingtomarsland 6 ปีที่แล้ว +4

    Thanks it was helpful

    • @PreMath
      @PreMath  6 ปีที่แล้ว

      Thanks Bir Amrit Singh for the feedback. Please share my channel with friends as well. Kind regards :)

  • @brightwriter
    @brightwriter 3 ปีที่แล้ว

    There's a cubic equation formula or algorithm somewhere that can be used to solve all cubic equations. Also, though this example is instructive, it does not show how the methods work.

  • @MrBurninCross
    @MrBurninCross 4 ปีที่แล้ว +12

    Glad I wasn't stuck with someone like him,....

  • @codingcanchangeyourlife
    @codingcanchangeyourlife 2 ปีที่แล้ว +1

    Does this work for all cubic equations

  • @25-parveen6
    @25-parveen6 5 ปีที่แล้ว +3

    Thanks sir

    • @PreMath
      @PreMath  5 ปีที่แล้ว

      Dear Parveen Kachura , you are very welcome. Thank you so much for taking the time to leave this comment. I'm glad you liked the vid. Your feedback is always appreciated. Keep it up. Kind regards :)

  • @goomy6412
    @goomy6412 6 หลายเดือนก่อน

    Are you allowed to just type it into the calculator in the ccea as1 paper

  • @MohaMMaDiN55
    @MohaMMaDiN55 5 ปีที่แล้ว +1

    These things were taught to me in the ‘elementary differential equations’ course. I forgot them because I took that course a long a while. You refreshed it to me and you taught me something new which our teacher in the past didn’t, which is the checking methods whether the answer is x=+-1 or our set of solutions of the equation is true. This would’ve changed my grade into better if I had the chance to see it when I was taking the course. But anyways, Thanks a lot.
    Edit: It turned out actually you uploaded this video after I finished the course after I checked the time it was uploaded.

  • @bhairavirajesh5453
    @bhairavirajesh5453 ปีที่แล้ว +1

    Sir thank you very much to give a deeper idea

    • @PreMath
      @PreMath  ปีที่แล้ว

      Most welcome, dear

  • @محمدالعجيري-ر5م
    @محمدالعجيري-ر5م 3 ปีที่แล้ว +2

    08:00 I didn't get the next factorization process

    • @محمدالعجيري-ر5م
      @محمدالعجيري-ر5م 3 ปีที่แล้ว +1

      Nevermind i got it

    • @PreMath
      @PreMath  3 ปีที่แล้ว +2

      I'm glad you got it!
      Muhammed, I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃
      Have a very happy and blessed New Year!

    • @محمدالعجيري-ر5م
      @محمدالعجيري-ر5م 3 ปีที่แล้ว

      @@PreMath
      Thank you sir you too

  • @rohanupadhyay5614
    @rohanupadhyay5614 4 หลายเดือนก่อน +1

    why does it feel like it is too complicated, just put the valus of 1,-1,2, and -2 instead of rembering all of this

  • @SaiKadam-fs1qw
    @SaiKadam-fs1qw ปีที่แล้ว

    Can you please explain me how does -1/2 came in LHS ?
    10:05