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

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  • Опубліковано 27 лип 2024
  • Learn how to Solve Advanced Cubic Equations using Synthetic Division. Also learn how to Check your Answer Algebraically and Graphically (Graph of the Cubic Equation is Provided). Step-by-Step Tutorial by PreMath.com
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КОМЕНТАРІ • 1,1 тис.

  • @rickykurosawa5662
    @rickykurosawa5662 6 років тому +442

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

    • @PreMath
      @PreMath  6 років тому +25

      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 роки тому +3

      what if our equation is not factorable?

    • @Sandeepyadav2k2
      @Sandeepyadav2k2 3 роки тому +2

      ya😄

    • @jokarmaths7771
      @jokarmaths7771 2 роки тому

      amazing ..ua-cam.com/video/JdyMqmnWJi8/v-deo.html

    • @arjuncjayan912
      @arjuncjayan912 2 роки тому +1

      Ysss

  • @piyushpriyadarshandas5630
    @piyushpriyadarshandas5630 3 роки тому +2919

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

  • @Jasmine-1820
    @Jasmine-1820 2 роки тому +64

    Who is here after facing problems in eigen value roots

  • @jungwon_luv-152
    @jungwon_luv-152 2 роки тому +12

    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 :))

  • @Max-yt7te
    @Max-yt7te 3 роки тому +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

  • @ashleshapatil640
    @ashleshapatil640 3 роки тому +3

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

  • @bmariani52
    @bmariani52 Рік тому +17

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

  • @Adomas_B
    @Adomas_B 3 роки тому +37

    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

  • @revmartin2981
    @revmartin2981 3 роки тому +1

    What to do if last no. is not substracted completely
    ex. x^3 - 9x^2+ 26x -24=0 ( x=2 )

  • @ahmadmalik3298
    @ahmadmalik3298 4 роки тому +89

    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 роки тому +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 роки тому

      amazing ...ua-cam.com/video/JdyMqmnWJi8/v-deo.html

  • @vi2768
    @vi2768 2 роки тому +3

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

  • @livetodraw5939
    @livetodraw5939 Рік тому +1

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

  • @SNTz55
    @SNTz55 Рік тому

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

  • @sgm9420
    @sgm9420 2 роки тому +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.

  • @foreveralee1210
    @foreveralee1210 3 роки тому

    for the co efficient, if I get the same sum but there is a negative in on of them what can I do?

  • @halosas9854
    @halosas9854 3 роки тому +1

    In the synthetic division, what if 0 comes before the end?

  • @shortsbyA1Gaming
    @shortsbyA1Gaming 2 роки тому +7

    Who is here after bsc 🤣

  • @liyahyus
    @liyahyus 3 роки тому +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 3 роки тому +7

      Same

    • @PreMath
      @PreMath  3 роки тому +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😃

  • @vrankyrule
    @vrankyrule 3 роки тому

    If I some how able to find two roots can I use the check method to find out the third...I see it being obvious

  • @itrstt66
    @itrstt66 2 роки тому

    how do you find the divisors of q when a is a decimal number? does that mean that q divisors are only 1?

  • @vinuthagc9900
    @vinuthagc9900 3 роки тому +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 роки тому +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😃

  • @FactsSpeakerr
    @FactsSpeakerr 9 місяців тому +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.

  • @rice3844
    @rice3844 2 роки тому +2

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

  • @leonidasdelossantos3434
    @leonidasdelossantos3434 7 місяців тому +1

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

  • @bishal_bhattaraivlog8336
    @bishal_bhattaraivlog8336 4 роки тому +10

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

    • @kesabkirannandy5663
      @kesabkirannandy5663 3 роки тому +1

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

  • @lazybacon5282
    @lazybacon5282 4 роки тому +3

    Really easy to understand sir!

  • @goomy6412
    @goomy6412 4 місяці тому

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

  • @cgtrece3258
    @cgtrece3258 3 роки тому +1

    @premath how did you factorize 2x^2+5x-3=0

    • @PreMath
      @PreMath  3 роки тому +1

      Dear Chris, you asked a very nice question! Please watch these videos to factor out problems like above:
      ua-cam.com/video/WKYIoUnMAnI/v-deo.html
      ua-cam.com/video/0A1vPvPt_co/v-deo.html
      ua-cam.com/video/Ul6x99bTSGA/v-deo.html
      Thanks for asking. If you still have question, please let me know.
      Take care dear and all the best😃

  • @devdattsonkusare
    @devdattsonkusare 3 роки тому +5

    Thanks for the video, it is really very helpful.

    • @PreMath
      @PreMath  3 роки тому +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

  • @jiege02
    @jiege02 4 роки тому +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 роки тому +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 😃

  • @phoebechandra2115
    @phoebechandra2115 2 роки тому

    What is the answer on the graphic? I think that there is only one point that intersect the axis when drawn on the graph

  • @pchamprock9535
    @pchamprock9535 5 років тому

    agar equation lowest degree se start ho rhi or last me higher degree term ho to division me kya effect hoga

  • @Zinab642
    @Zinab642 3 роки тому +26

    Well done our society needs more content like this😊

    • @PreMath
      @PreMath  3 роки тому +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!

  • @jonathan3488
    @jonathan3488 3 роки тому +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 роки тому +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 роки тому +1

      @@PreMath Thank you!

    • @jokarmaths7771
      @jokarmaths7771 2 роки тому

      amazing ...ua-cam.com/video/JdyMqmnWJi8/v-deo.html

  • @appleursaiz1939
    @appleursaiz1939 3 роки тому

    (Y=X³-2x²+x-1) sir what to do with this one? Where y is not equal to zero and the interval terms aren't equal?

  • @CrazyGirl-il3mn
    @CrazyGirl-il3mn 3 роки тому

    Will the trick be applicable to 0.42 sec to polynomials raise to power 4

  • @yoshimoshi8065
    @yoshimoshi8065 3 роки тому +10

    this is incredible, im speechless

  • @sumitnagar8367
    @sumitnagar8367 4 роки тому +6

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

    • @PreMath
      @PreMath  4 роки тому +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 3 роки тому

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

  • @ethanthean1952
    @ethanthean1952 4 місяці тому

    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?

  • @varshaaves7694
    @varshaaves7694 3 роки тому

    sir ,what if there is no coefficient of x are given eg. d^3-1 etc ..

  • @Gabs2345
    @Gabs2345 2 роки тому +8

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

  • @zaidsserubogo261
    @zaidsserubogo261 5 років тому +9

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

  • @aditya.btiwari808
    @aditya.btiwari808 3 роки тому

    @PreMath plz tell what to domif the D=1

  • @sudarshanbaurai5326
    @sudarshanbaurai5326 2 роки тому +1

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

  • @AndrewWhise
    @AndrewWhise 3 роки тому +4

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

    • @PreMath
      @PreMath  3 роки тому +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😃

  • @amywaweru5584
    @amywaweru5584 3 роки тому +10

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

    • @PreMath
      @PreMath  3 роки тому +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😃

  • @codingcanchangeyourlife
    @codingcanchangeyourlife 2 роки тому +1

    Does this work for all cubic equations

  • @Ferromexfan4081
    @Ferromexfan4081 2 роки тому

    Great help! Thank you :)

  • @timeonly1401
    @timeonly1401 Рік тому +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?

  • @martyjtv7039
    @martyjtv7039 4 роки тому +3

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

  • @SaiKadam-fs1qw
    @SaiKadam-fs1qw Рік тому

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

  • @moran-gq8rv
    @moran-gq8rv 6 місяців тому

    what if d is an odd number like 5 and +1, -1, -5, +5 doesn't work

  • @sainandhana8828
    @sainandhana8828 4 роки тому +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 роки тому +1

      Explain that easier way

    • @sainandhana8828
      @sainandhana8828 4 роки тому +3

      @@butterfly99899 that's what I am asking

    • @songoku6425
      @songoku6425 3 роки тому

      @@sainandhana8828 JUST USE ANY SCIENTIFIC CALCULATOR

  • @zc2361
    @zc2361 5 років тому +16

    thankyou so much, you are better than my teacher.

    • @PreMath
      @PreMath  5 років тому +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 років тому

      thanks

  • @francescoapg
    @francescoapg 2 роки тому

    what about polynomials with complex roots?

  • @shimaasadeq1314
    @shimaasadeq1314 2 роки тому

    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??

  • @paisavasool4635
    @paisavasool4635 3 роки тому +5

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

    • @PreMath
      @PreMath  3 роки тому +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😃

  • @rohtashkumar7185
    @rohtashkumar7185 5 років тому +142

    0:46 ambulance!!!!

    • @aishwary2047
      @aishwary2047 5 років тому +11

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

    • @otsogileonalepelo9610
      @otsogileonalepelo9610 5 років тому

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

    • @samialboksh4544
      @samialboksh4544 5 років тому +3

      Are bhai bhai bhai 😂😂🥴

    • @PreMath
      @PreMath  5 років тому +23

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

    • @ProfKDAnwar
      @ProfKDAnwar 4 роки тому

      ua-cam.com/video/CgcEEQIlpMk/v-deo.html

  • @syahandholder
    @syahandholder 3 місяці тому

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

  • @vijeykrishnaa2230
    @vijeykrishnaa2230 5 років тому +2

    Very helpful! Thank you so much!

    • @PreMath
      @PreMath  5 років тому +1

      Dear Vijey Krishnaa, you are very welcome. Thank you so much for taking the time to leave this comment. I'm sure you are an awesome student. Keep it up. Best regards :)

    • @vijeykrishnaa2230
      @vijeykrishnaa2230 5 років тому

      PreMath 😊 Really thank you a lot! Helped me a lot to learn!

  • @Goingtomarsland
    @Goingtomarsland 6 років тому +4

    Thanks it was helpful

    • @PreMath
      @PreMath  6 років тому

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

  • @lakshitapoonia9174
    @lakshitapoonia9174 3 роки тому +4

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

  • @richardparcellano899
    @richardparcellano899 Рік тому +1

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

    • @livetodraw5939
      @livetodraw5939 Рік тому

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

  • @Jecoliahh
    @Jecoliahh Рік тому +2

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

  • @skills2580
    @skills2580 3 роки тому +4

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

    • @PreMath
      @PreMath  3 роки тому +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😃

  • @khatariinsaan5284
    @khatariinsaan5284 3 роки тому +3

    You are Awesome Sir !!

    • @PreMath
      @PreMath  3 роки тому +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!

  • @aditya.btiwari808
    @aditya.btiwari808 3 роки тому

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

  • @XanderAnimations
    @XanderAnimations 3 місяці тому

    What if none of the values work in synthetic division?

  • @HeyKevinYT
    @HeyKevinYT 3 роки тому +3

    I love the Rational Roots Theorem

    • @PreMath
      @PreMath  3 роки тому +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 😃

  • @krish11984
    @krish11984 4 роки тому +3

    Thanks! And please make a video on trigonometric identities.

    • @PreMath
      @PreMath  4 роки тому +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 😃

  • @vaibhavgarje3093
    @vaibhavgarje3093 3 роки тому

    How do u solve 2x'3 - 9 x'2 + 12x+4 using this

  • @walikhantutorial9715
    @walikhantutorial9715 3 роки тому

    Please acknowledge me which software used to make video.

  • @butterfly99899
    @butterfly99899 4 роки тому +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 роки тому +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 😃

  • @jayjain4341
    @jayjain4341 6 років тому +4

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

    • @jayjain4341
      @jayjain4341 5 років тому +1

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

    • @leaveitblank2625
      @leaveitblank2625 5 років тому +1

      Its your school homework ?😂😂

    • @jayjain4341
      @jayjain4341 5 років тому +1

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

    • @leaveitblank2625
      @leaveitblank2625 5 років тому +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 5 років тому +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!

  • @georgesadler7830
    @georgesadler7830 2 роки тому

    Thank you for this video on solving Cubic Equations.

  • @Lucas-nj1fs
    @Lucas-nj1fs 2 роки тому

    In which grade do you guys usually learn it?

  • @destinysilas8489
    @destinysilas8489 Рік тому +6

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

    • @PreMath
      @PreMath  Рік тому +1

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

    • @destinysilas8489
      @destinysilas8489 Рік тому

      @@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.

  • @flash_434
    @flash_434 3 роки тому +3

    Thank you so much

    • @PreMath
      @PreMath  3 роки тому +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 роки тому

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

    • @MathLab4u
      @MathLab4u 3 роки тому

      We solve as math teachers cubics as well
      You might look at some examples
      ua-cam.com/video/ircZ_M1m3I8/v-deo.html

    • @MathLab4u
      @MathLab4u 3 роки тому

      Yes absolutely

  • @prachiSharma-qe6ki
    @prachiSharma-qe6ki 2 роки тому

    What if I not get R = 0 then how I get other solutions of equation

  • @oladimejiopeyemi7433
    @oladimejiopeyemi7433 Рік тому +1

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

    • @leeban8777
      @leeban8777 Рік тому

      Hi can we be friends please ☺

  • @hejda4101
    @hejda4101 3 роки тому +8

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

    • @PreMath
      @PreMath  3 роки тому +4

      Take care dear and all the best😃

  • @motionkings
    @motionkings 4 роки тому +5

    Thanks for making it even more confusing

  • @chandrabhan7212
    @chandrabhan7212 5 років тому +1

    This method only works for integer coefficients right?

    • @spandansarkar4345
      @spandansarkar4345 3 роки тому

      If the coefficients are fractions, multiply them by a suitable number so that they become integers.

  • @prabhavathi1899
    @prabhavathi1899 4 роки тому +1

    Ur Explaination is just awesome

  • @kailenmissen4465
    @kailenmissen4465 3 роки тому +4

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

    • @PreMath
      @PreMath  3 роки тому +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😃

  • @kuldeepsinghjassal5185
    @kuldeepsinghjassal5185 5 років тому +6

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

  • @keypo790
    @keypo790 Рік тому

    What does this rules called?

  • @dhananjayhiwase1171
    @dhananjayhiwase1171 15 днів тому

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

  • @ashishdeshlahra00
    @ashishdeshlahra00 5 років тому +5

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

  • @lawlietryuzaki7704
    @lawlietryuzaki7704 2 роки тому +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...

  • @WalterWhite-nx5ti
    @WalterWhite-nx5ti Рік тому

    Super helpful, thanks!

  • @jada9804
    @jada9804 4 роки тому

    How did u factor?

  • @25-parveen6
    @25-parveen6 5 років тому +3

    Thanks sir

    • @PreMath
      @PreMath  5 років тому

      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 :)

  • @krishnasingh5190
    @krishnasingh5190 5 років тому +17

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

  • @242math
    @242math 3 роки тому

    very well done, thanks for sharing bro

  • @11a-vvmaswinopgg54
    @11a-vvmaswinopgg54 2 роки тому

    Does this work for any cubic?

  • @MrBurninCross
    @MrBurninCross 4 роки тому +12

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

  • @abhijitkhare6838
    @abhijitkhare6838 11 місяців тому

    Brilliant 👏Thanks a lot for this sir 🙏

  • @obiramorrish7540
    @obiramorrish7540 Рік тому

    Is there a shorter method

  • @alvarolealjr
    @alvarolealjr 4 роки тому

    what if they give you the 3 roots and then ask you what a,b, and c are.

    • @varaprasad7016
      @varaprasad7016 4 роки тому

      You can multiply them to get cubic equation