Complex Numbers : Roots of a cubic equation : ExamSolutions

Complex numbers: finding the roots of a cubic equation.
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Пікірлер: 53

  • @bienaime8344
    @bienaime83449 ай бұрын

    11 years on and this video is a blessing- Thank you!

  • @ay7565
    @ay75653 жыл бұрын

    Exactly what I needed! Thank you so much for the perfect explanation

  • @chris-sophievandervlugt2928
    @chris-sophievandervlugt29288 жыл бұрын

    if only my maths teacher had described it like this.so much easier to understand now thank you.

  • @ChiragDhussa
    @ChiragDhussa8 жыл бұрын

    Thank u so mch sir..this was exactly what I was looking for..

  • @mavulandlela
    @mavulandlela7 жыл бұрын

    Thank you, that has greatly helped my understanding

  • @neilborg2756
    @neilborg27562 жыл бұрын

    thank you so much for the upload sir! i wasn't aware of such a straightforward method!

  • @rounaksinghbuttar9083
    @rounaksinghbuttar90834 жыл бұрын

    Very nicely taught, thank you very much Sir!

  • @jennyzhang2810
    @jennyzhang28103 жыл бұрын

    Hi sir, this has been very helpful. Do you mind doing more IB videos? It will be truly appreciated!

  • @laurencrom
    @laurencrom12 жыл бұрын

    This is a great video. Keep it up!

  • @parshu7926
    @parshu79268 жыл бұрын

    wow superb!!its applicable to all numerical. i have been searching since many days and i got it finally..thanks lot u sir.

  • @ExamSolutions_Maths

    @ExamSolutions_Maths

    8 жыл бұрын

    +Parshu Ram Well done.

  • @deepjyotidas5762
    @deepjyotidas57627 жыл бұрын

    That was very help sir. Thank you.

  • @thilakkumara8975
    @thilakkumara89759 жыл бұрын

    Thank You So Much :) This really helped me a very lot ! Thanks Again !

  • @ExamSolutions_Maths

    @ExamSolutions_Maths

    9 жыл бұрын

    Thilak Kumara Thanks for using.

  • @practicepractice512
    @practicepractice5123 жыл бұрын

    Thank you so much!

  • @oscarfeingold8630
    @oscarfeingold86302 жыл бұрын

    best video on this topic really useful

  • @Latestsightings
    @Latestsightings10 жыл бұрын

    Thanks soooo much!

  • @ExamSolutions_Maths

    @ExamSolutions_Maths

    10 жыл бұрын

    You're welcome. Thanks for using my site.

  • @jayagnihotri5807

    @jayagnihotri5807

    9 жыл бұрын

    ExamSolutions Another fantastic video sir. Can I just ask you is the only way to get the quadratic factor by long division, I used the method but was wondering is there an alternative method. And also how would you obtain the roots of an equation such as x^4-3x^3+2x^2-3x+2? Regards sir :)

  • @aashsyed1277

    @aashsyed1277

    3 жыл бұрын

    @@ExamSolutions_Maths YOU ARE THE BEST!!

  • @vanbrecken8147

    @vanbrecken8147

    3 жыл бұрын

    a trick : you can watch movies on Flixzone. Been using them for watching a lot of movies these days.

  • @raphaelsimon1847

    @raphaelsimon1847

    3 жыл бұрын

    @Van Brecken yea, I have been watching on Flixzone for months myself :D

  • @hangkertzy9722
    @hangkertzy97223 жыл бұрын

    thankyou so much!!

  • @ExamSolutions_Maths

    @ExamSolutions_Maths

    3 жыл бұрын

    No problem.

  • @Hipster523
    @Hipster5238 жыл бұрын

    Thx was very helpful

  • @mdjahin99
    @mdjahin996 жыл бұрын

    Thank yo Sir!

  • @ExamSolutions_Maths
    @ExamSolutions_Maths12 жыл бұрын

    For the roots to be a complex conjugate pair the equation must consist of terms of the form az^3+bZ^2+cZ+d=0 where a does not equal zero and a, b, c, d and are real. d for this equation is imaginary and so this rule does not hold. Your roots are correct though.

  • @mrfreerunners1
    @mrfreerunners1 Жыл бұрын

    at 4:20 you say f(1)=22 but I got 24 on my calculator. And it is the same for -1

  • @mehdi9353
    @mehdi93539 жыл бұрын

    For f(1), the answer is 24 not 22. However, great video!! Thanks!

  • @holyshit922
    @holyshit92212 жыл бұрын

    Use one of following substitutions to get quadratic equation Z=U+V Z=U+\frac{7}{3U} You can also get formula for trigonometric function of triple angle with substitution like this Z=2\sqrt{-\frac{7}{3}}\cos{\theta}

  • @tenki330
    @tenki3307 жыл бұрын

    thx!

  • @aihamal-shummari721
    @aihamal-shummari7216 жыл бұрын

    Thank you so much, god bless you good sir.

  • @ExamSolutions_Maths

    @ExamSolutions_Maths

    6 жыл бұрын

    Thank you and you too.

  • @johnkombapangai-yd3lu
    @johnkombapangai-yd3lu Жыл бұрын

    Very good

  • @thecheetahisfasterdandelion
    @thecheetahisfasterdandelion Жыл бұрын

    exams in 13hrs and i comepletely forgot about this topic thank you

  • @ExamSolutions_Maths

    @ExamSolutions_Maths

    Жыл бұрын

    Always welcome

  • @thecheetahisfasterdandelion

    @thecheetahisfasterdandelion

    Жыл бұрын

    @@ExamSolutions_Maths aced those complex numbers questions! Idk about the rest tho…

  • @hninsumonwin4189
    @hninsumonwin41898 жыл бұрын

    when you write down the quadratic formula, I didn't see there is no minus in front of b. Is the formula like that? (-b±square root of b^2-4ac)/2a?

  • @TWENTYSEVENSTORIES

    @TWENTYSEVENSTORIES

    4 жыл бұрын

    b is minus 6, so the negative that is always in the formula cancels this negative out to give positive 6. Hence why there is no negative sign when substituted in to the formula.

  • @jamaicaboy544
    @jamaicaboy5447 жыл бұрын

    What if none of the factors equate the equation to 0

  • @phm04
    @phm042 жыл бұрын

    is there a way to this without trial and error

  • @mohammadalam3021
    @mohammadalam30216 жыл бұрын

    What should I do with the remainder if I get it in a question?

  • @abhilashajb4ever
    @abhilashajb4ever9 жыл бұрын

    what if we need to find roots in terms of w ?

  • @zoerose1892
    @zoerose18924 жыл бұрын

    You're an absolute life saver, thankyou so much for these videos!

  • @ExamSolutions_Maths

    @ExamSolutions_Maths

    4 жыл бұрын

    Saving lives feels good. Thank you and best wishes.

  • @joelalexandre9865
    @joelalexandre986510 жыл бұрын

    And in this case: x^4+2x^3-x^2+2x+1, how to know its roots?

  • @simategeoffrey.s8923
    @simategeoffrey.s89237 жыл бұрын

    indeed,......

  • @holyshit922
    @holyshit92212 жыл бұрын

    There should be Z=U-\frac{7}{3U} instead of Z=U+\frac{7}{3U}

  • @prashantsharma7788
    @prashantsharma77883 жыл бұрын

    ❤️❤️❤️🙏🙏

  • @benjaminnetanyahu9952
    @benjaminnetanyahu9952 Жыл бұрын

    I think I just found the Gordon Ramsay of math

  • @Scratchfan321
    @Scratchfan3212 жыл бұрын

    It appears as though I must guess

  • @Scratchfan321

    @Scratchfan321

    2 жыл бұрын

    After plugging in numbers (Guessing) it worked.

  • @bostangpalaguna228
    @bostangpalaguna2284 жыл бұрын

    *Quick Fact* If a cubic polynomial given has 2 real roots, those two must be identical.