Cubic Equation 2 | CAT Preparation 2024 | Algebra | Quantitative Aptitude

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  • čas přidán 27. 08. 2024
  • Advance Algebra by Ravi Prakash | Quantitative Aptitude for CAT 2024
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Komentáře • 83

  • @Rodha
    @Rodha  Před 3 lety +103

    At 15:40 : 2ac is 2*1*25

  • @namansharma2721
    @namansharma2721 Před 4 měsíci +2

    Great Job sir. You are a real Hero! Thanks a Million times!

  • @ROHIT-SHARMA-897
    @ROHIT-SHARMA-897 Před 3 lety +21

    RESPECTED SIR
    KINDLY CLARIFY ONE DOUBT
    IN X^3+5X^2+25X+125
    2AC SHOULD BE 2*1*25 AND NOT 2*1*125.KINDLY CLEAR THE DOUBT.
    WITH REGARDS
    ROHIT SHARMA

    • @zoro3188
      @zoro3188 Před 2 lety +2

      Your perception is correct sir made a little mistake their

    • @rayzoldyck8044
      @rayzoldyck8044 Před rokem +1

      nigga wrote a whole ass application lmao

  • @prashantvats4852
    @prashantvats4852 Před 4 lety +15

    You are using 125 instead of 25. So please pine a comment for confirmation..

    • @humairaalam969
      @humairaalam969 Před rokem

      Yes isn't that a mistake ? Like c is supposed to be 25 i guess he used the value of d ..

  • @abhinavkumar-qg6lj
    @abhinavkumar-qg6lj Před 6 dny +2

    Where is descartes sign rule video?

  • @rajatghosh7272
    @rajatghosh7272 Před rokem +7

    why did we use b^2 - 4ac previously and now its b^2 - 2ac? What's the difference between the two?

  • @sreyoshibanerjee5887
    @sreyoshibanerjee5887 Před 2 lety +10

    Why is the Discriminant of the cubic equation (b^2-2ac) and not (b^2-4ac)? Please help.

    • @deekshitabora8280
      @deekshitabora8280 Před 2 lety +5

      Because that's not the DISCRIMINANT, it's just a condition.

    • @lazy_sorbet
      @lazy_sorbet Před 2 lety +2

      There's nothing like b^2-2ac like quadratic equation,in cubic equation we have to compare b^2 to 2ac , if it is less then 2 imaginary roots and 1 real root.
      Else all roots are real.

  • @yashasharma9963
    @yashasharma9963 Před 3 lety +5

    Thanks for your efforts, Sir.

  • @ShuvamNayak
    @ShuvamNayak Před 4 lety +13

    At 8:01 shouldn’t the equation 3 be equal to -b ?

    • @vedantmishra3697
      @vedantmishra3697 Před 4 lety

      Yesss

    • @kanakh7775
      @kanakh7775 Před 4 lety +1

      yes sir told it in a different way, like b is negative so value is negative only.

  • @rohankrishna1818
    @rohankrishna1818 Před rokem +1

    Amazing concepts!!! Thank you sir❤️

  • @saurabhmishra4953
    @saurabhmishra4953 Před 4 lety +3

    If apna= beta= gamma= delta=3
    Then this root must satisfy the equation of bi-quadratic mentioned here which is not!
    Can anyone suggest me if I am wrong anywhere ?

    • @saswatarouth1516
      @saswatarouth1516 Před 3 lety

      I think you have done something wrong in the calculations

    • @sachinkumarsingh2518
      @sachinkumarsingh2518 Před 3 lety

      Answer of the eqn by putting x=1(let's say), its coming out to be equal to 16 instead of 0 & by putting X=2 , Eqn. equals to 1 , why so ????? Can anyone clarify this doubt ...

    • @amanvarma4839
      @amanvarma4839 Před 11 měsíci

      Wrong Calculation. It is satisfying. Putting x=3, eq=0

  • @hiteshahlawat4886
    @hiteshahlawat4886 Před 3 lety +1

    Sir very nice conceptual video ❤️

  • @soumadipranjanbiswas1779

    Hi Sir, Thanks for the series. I wanted to know where is the "Descartes sign change rule" video ?

  • @academics7471
    @academics7471 Před 5 lety +10

    At 15:55 should c be eual to 25 instead of 125?

    • @raviprakash6021
      @raviprakash6021 Před 5 lety +32

      Yeah .. thanks for figuring it out.. we have recorded more than 300 videos, so even after reviewing there can be small errors in around 5% of the videos . I will again review and I will put an ERRATA comment for correction.

    • @SiddharthBasu100
      @SiddharthBasu100 Před 5 lety +1

      @@raviprakash6021 Please upload more videos. Less than 3 months for CAT 2019.

    • @manjunathm7987
      @manjunathm7987 Před 4 lety

      yes

    • @Sanchofan1
      @Sanchofan1 Před 4 lety

      @@raviprakash6021 thank s sir for all your efforts.

    • @avinashnair8433
      @avinashnair8433 Před 4 lety +1

      @@raviprakash6021 Thanks Sir for the effort and time you had put to make us understand the topic. :)

  • @Shivam_General_Fitness
    @Shivam_General_Fitness Před rokem +1

    Thanku sir

  • @shekharankiya2414
    @shekharankiya2414 Před rokem +1

    Why we can take abcd as the roots instead of alpha gama bita??
    Abcd = 3*3*3*3
    B= 3
    A=3

  • @sachinkumarsingh2518
    @sachinkumarsingh2518 Před 3 lety +1

    Dear Sir,
    Good Morning
    At 8:40 , facing problems till the end of this question, because after putting the values in the equation, values doesn't satisfy the equation, please check once..

  • @vishalrajoriya8557
    @vishalrajoriya8557 Před rokem +1

    hey can anyone share the descartes sign change rule video link

  • @ss590
    @ss590 Před 10 měsíci

    Thankyou 💜 so much sir 🙏🏻

  • @dakshpatel2839
    @dakshpatel2839 Před 11 měsíci

    Thank you so much sir

  • @raghav_daga
    @raghav_daga Před 2 měsíci

    What is the use of calculating the value of one root among the three roots in the last question? How will that help to solve the question further?

    • @sidharthnair881
      @sidharthnair881 Před 2 měsíci

      Then you use that factor(E.g. if 1 is a root, (x-1) is a factor) and divide the whole cubic equation by this factor using long division method to get a quadratic equation. Then solve the quadratic to find the other 2 roots.

    • @therevealer672
      @therevealer672 Před měsícem

      You can use synthetic division method to reduce the equation to quadratic and solve quadratic for other two roots.

  • @yatinjoshi6802
    @yatinjoshi6802 Před rokem +3

    at 11:50 if the roots are non negative then how come the b is -108

  • @saisanthoshr464
    @saisanthoshr464 Před 4 lety +1

    At 14.17... The discriminant of cubic equation is b^2-3ac and not 2ac...

    • @avinashnair8433
      @avinashnair8433 Před 4 lety +3

      Well That's not at all a discriminant he is saying. That's just a condition.

    • @sapeduworld
      @sapeduworld Před 4 lety

      At 11:13 now he has taken minus sign where as in last video he took positive sign😕😕😕

    • @avinashnair8433
      @avinashnair8433 Před 4 lety +1

      @@sapeduworld Here the condition is different.
      Here we have four roots while in the last video we had 3 roots.
      Actually u need to understand properly how those roots are being evaluated!!
      Similarly when we will have 5 roots and 6 roots, it will be different.
      Try to understand the pattern properly. So that u know what will be for n no. of roots!!

    • @sapeduworld
      @sapeduworld Před 4 lety

      @@avinashnair8433 Bro plz tell from where i can get more info about how these roots work...plz send the link if any

    • @avinashnair8433
      @avinashnair8433 Před 4 lety

      @@sapeduworld Watch Ravi Sir's introduction video of Cubic Equation.
      Sir explained those concepts really well 🙂

  • @cumulusmusic100
    @cumulusmusic100 Před 11 měsíci

    Thank you Sir🙏

  • @KuNjAcHaNBasil
    @KuNjAcHaNBasil Před 4 lety

    Thank you.

  • @samaymohale3050
    @samaymohale3050 Před 3 lety +2

    At 15 condition is not satisfying for eqn x^3+2x^2-3x-10=0 ....which has one real root at x=2 and 2img roots

  • @ypoojaa
    @ypoojaa Před 2 lety +1

    thank u sir❤

    • @soumadipranjanbiswas1779
      @soumadipranjanbiswas1779 Před rokem

      I wanted to know where is the "Descartes sign change rule" video ? Can you please help ?

  • @samparkestates-kr9od
    @samparkestates-kr9od Před 10 měsíci

    hi. Can anyone pls share the cubic equation part 3 link... The playlist has cubic equation part 3 but it has quadratic eqn lecture.

    • @Dev-jp4rn
      @Dev-jp4rn Před 10 měsíci +1

      There is only 2 video of cubic eqn

  • @jaidevtyagi1033
    @jaidevtyagi1033 Před 10 měsíci

    Sir in the first eqn the roots are p,q,r. Now at x=1 the equation satisfy. one of the roots is 1. whatever we add to 1 we'll get the answer as greater than 1, then how can the answer be 0.25

    • @jaidevtyagi1033
      @jaidevtyagi1033 Před 10 měsíci

      Ok so the question is wrong as 1 root is real and two are imaginary ✌️. Discriminant= -4

  • @subhasmitabehera2947
    @subhasmitabehera2947 Před 4 lety +3

    Discriminant is b^2 - 4ac na...

    • @sachinkumarsingh2518
      @sachinkumarsingh2518 Před 3 lety

      Yaar wahi toh yahan 4ac hona chaahiye na, bahut confuse ho gya iss video me...If you got proper explanation of this 2ac , please reply ..

    • @jaideepsingh4395
      @jaideepsingh4395 Před 3 lety +4

      @@sachinkumarsingh2518 bhai ye discriminant nahi hai ye bas ek condition hoti hai jo cubic equation pe apply hoti hai. Or wo jo b^2-4ac hota hai vo bas quadratic equation ke liye hota hai.

  • @HOLIKESH
    @HOLIKESH Před 2 lety +1

    Sir, where is the next video containing Descartes sign change rule as you have mentioned in the video. Kindly help

  • @abhishekpatidar7740
    @abhishekpatidar7740 Před 2 lety

    🙏🙏

    • @soumadipranjanbiswas1779
      @soumadipranjanbiswas1779 Před rokem

      I wanted to know where is the "Descartes sign change rule" video ? Can you please help ?

  • @akarsh121
    @akarsh121 Před 4 lety

    Thank u sir🙏

  • @snehsingh4
    @snehsingh4 Před 4 lety

    At 4:48 how can denominator be equal to 4???

    • @rahulsinghchauhan6182
      @rahulsinghchauhan6182 Před 3 lety +2

      Bcoz in question p²q²r² is given in denominator and the formula is pqs = -d/a means =2 so p²q²s² = 2² = 4. Hope u understand.

  • @mindfullmallu7511
    @mindfullmallu7511 Před 3 lety