Theory of Equation | Descarte's Rule Of Sign | Finding Sign Of Roots

แชร์
ฝัง
  • เผยแพร่เมื่อ 12 ธ.ค. 2024

ความคิดเห็น • 242

  • @gajendrapurohit
    @gajendrapurohit  4 ปีที่แล้ว +20

    Thanks for your comment, your appreciation always motivate us to do such kind work.
    Join Telegram Channel : t.me/mathsbygpsir
    Instagram Handle : instagram.com/dr.gajendrapurohit/
    Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/
    Unacademy : unacademy.com/@Dr-GajendraPurohit
    Link to B.Sc. Maths Playlist : bit.ly/34tTTdc
    Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd
    Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei
    Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct
    Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj
    Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV
    Link to Aptitude Playlist : bit.ly/3ewDR7z
    Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ
    Link to Abstract Algebra Playlist : bit.ly/2A70LUb
    Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma
    Follwing Topics are also Available
    1. Differential Calculus : bit.ly/2OTYXB0
    2. Integral Calculus : bit.ly/34rLA1R
    3. Differential Equation : bit.ly/37IOlO1
    4. Partial Differential Equation : bit.ly/2OM5iyA
    5. Complex Analysis : bit.ly/2OP8hGp
    6. Numerical Analysis : bit.ly/2QYVQuy
    7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9
    8. Statistics & Probability : bit.ly/2DmOt7Z
    9. Operation Research : bit.ly/2pYYRjp
    10. Matrices (Linear Algebra) : bit.ly/2OOBSzO
    11. Fourier Series : bit.ly/34u7iC9
    12. Vector Calculus : bit.ly/2qICwXO
    13. Theory Of Equation : bit.ly/2XU9y33
    14. Special Function & Series Solution : bit.ly/2XRSU4l
    15. Infinite Series : bit.ly/37K6gUI
    16. Group Theory : bit.ly/3ieUze2
    Please share it with your Friends
    Thanks
    Dr.Gajendra Purohit

    • @ranjanjha1912
      @ranjanjha1912 4 ปีที่แล้ว

      Galat mat pdhaya kro yaar jahar ghol rhe ho

    • @ritikadev2627
      @ritikadev2627 ปีที่แล้ว +2

      @@ranjanjha1912 esse yhi sidhh ho rha hai ki bhai aapko kch nhi aata.... kyuki gp sir kbhi glt pdha hi nhi skte.... even unse achi mathematics koi nhi pdha skta😊💥

    • @study-junction02
      @study-junction02 หลายเดือนก่อน

      ​@@ranjanjha1912jahar to tum ghol rhe ho apni language me

  • @V-zf5xs
    @V-zf5xs ปีที่แล้ว +3

    I'm searching for such type of channel for me....and here my search ends.....now I have the perfect channel for my study..... thanks a lot sir for providing such nice concepts free.....

  • @mohanjindal9177
    @mohanjindal9177 3 ปีที่แล้ว +13

    In last three examples, for 2nd example, positive roots can be 3 or 1 , as theorem gives maximum number of positive roots not exact number

  • @nitikagaur1682
    @nitikagaur1682 3 ปีที่แล้ว +7

    One must take care of that 'no of +ve or -ve cannot exceed the number of sign change' that's the concept here.
    That is if 'S' is set of all positive roots of f(x)=0 then n(S)≤ no. of sign change. Same for negative roots.
    That's why we have to prove in that problem that the biquadratic eqn has 'atleat' 2 complex roots.

  • @vineetbum7699
    @vineetbum7699 4 ปีที่แล้ว +8

    All the video for this topic...nd the way of ur explaning are awesome...u r great sir

  • @sonalisarve3664
    @sonalisarve3664 4 ปีที่แล้ว +23

    Very good& easiest explanation sir.👌👌👌thank you for giving this explanation.

  • @jaspal9380
    @jaspal9380 5 ปีที่แล้ว +3

    I am really thankful to you sir. Sir i am study in bsc 1 year and in bsc 1 year my sir doesn't study well. So I doesn't study well in maths. But after I am see your free maths lecture I am study well in maths. At last but not least I am really thank full to you to give free maths lecture video. Thanks 🙏 you sir.

    • @jaspal9380
      @jaspal9380 5 ปีที่แล้ว +1

      @@GandhiknowledgeBank sir bsc 1 year ek bhi lecture nhi dala hai you tube par

  • @prashantchapranagurjar
    @prashantchapranagurjar 4 ปีที่แล้ว +1

    Sir apke teaching lajavab hai mene pehle video dekhi apki or ache se samajh aya 👍👍

  • @ektadebnath8297
    @ektadebnath8297 4 ปีที่แล้ว +4

    sir aap mehnat karte rahiye
    aap normal teachers se kahi guna acha padhate ho
    your channel deserves atleast a million subscribers sir

  • @babansahani9286
    @babansahani9286 5 ปีที่แล้ว +2

    You are my best teacher sir thanku so much

  • @anikaitdash6519
    @anikaitdash6519 2 ปีที่แล้ว +4

    Sir, you posting these valuable stuff online for free inspires me to learn more and work harder. Thanks a lot for the work. Keep it up. Love you 3000.

  • @ritikadev2627
    @ritikadev2627 ปีที่แล้ว +1

    Bhot acha smjh aaya....thnku sir💥😊

  • @svsingh2965
    @svsingh2965 5 ปีที่แล้ว +6

    Thank you so much sir your every video is very helpful for me and finally you make this video

  • @nayanrajsinghshaktawat1481
    @nayanrajsinghshaktawat1481 ปีที่แล้ว +2

    Splendid lecture

  • @mahendrasonker456
    @mahendrasonker456 5 ปีที่แล้ว +2

    Very Nice. Excellent.

  • @poojagupta7406
    @poojagupta7406 4 ปีที่แล้ว +1

    Thankyou so much sir
    👌👌😃😃

  • @piyushanjana5796
    @piyushanjana5796 3 ปีที่แล้ว +2

    thanks to you sir...i am prearing jee adv and i struct at these kind of question but found this video...so helpfull❤️

  • @bikramjitpathak4757
    @bikramjitpathak4757 ปีที่แล้ว

    Sir itni asani se samjhaya 😃, equation dekh ke kitna dar lagta hai... Lekin aap ke samjhane par easy ban geya😇

  • @nstasr9190
    @nstasr9190 3 ปีที่แล้ว

    hats off my legend.. mazaa aa gya sur

  • @shubhamsaurabh4419
    @shubhamsaurabh4419 3 ปีที่แล้ว

    Achha explain kiya sir aapne 👍👍

  • @nizamali2313
    @nizamali2313 2 ปีที่แล้ว +1

    Time saving ❤️...earned one more subscriber

  • @adityakumarsingh2131
    @adityakumarsingh2131 3 ปีที่แล้ว +1

    Thanks sir your video is so helping 🙏

  • @deepakrao8860
    @deepakrao8860 3 ปีที่แล้ว +1

    Your are very well explained sir. Thank you 🙏🙏

  • @sibampaul7257
    @sibampaul7257 11 หลายเดือนก่อน

    it's very helpful for me ❤❤❤❤❤

  • @Krish_202
    @Krish_202 ปีที่แล้ว +1

    Sir in equation like f(x) = x² + 4x + 5 . How do I know the roots are positive real or negative by Descartes theorem because there's no change in f(x) or f(-x)

  • @vandanathakur8701
    @vandanathakur8701 4 ปีที่แล้ว +1

    🙏thank you sir

  • @kavitaraghuwanshi2106
    @kavitaraghuwanshi2106 4 ปีที่แล้ว +1

    Thanks for uploading such vedios, very helpful

  • @manjumeher
    @manjumeher 7 หลายเดือนก่อน +1

    Sir Descartes method of finding roots per v video bna dijiye 🙏

  • @ThECLiPs08
    @ThECLiPs08 4 ปีที่แล้ว +1

    Sir it was so easy or you made it ... whatever it is ... thank you sir with my full heart😁😁🙏🙏

  • @pradhumansinghchouhan9237
    @pradhumansinghchouhan9237 3 ปีที่แล้ว +1

    You are amazing sir .😎

  • @theperfectboi
    @theperfectboi 3 ปีที่แล้ว +5

    Sir most helpful vedio ❤️ subscribed with just watching this quality content at first sight !!!!! Most valuable teacher 😌and most important topic for polynomials ,❤️❤️

  • @Kishanlal-c4z
    @Kishanlal-c4z 3 หลายเดือนก่อน

    Sir aap bahut achha padhate ho

  • @indian1747
    @indian1747 3 ปีที่แล้ว +1

    Ur explanation nd teaching techniques are wonderful sir💯💯
    But please improve ur 📷 quality
    Anyways thnk sir👍👍

  • @SleepyBoat-xj3pv
    @SleepyBoat-xj3pv 7 หลายเดือนก่อน

    Nice explanation sir❤❤❤❤

  • @heeraksharma1224
    @heeraksharma1224 4 ปีที่แล้ว +12

    In last example, there will be exactly 2 imaginary roots as imaginary roots always occur in conjugate pair.

    • @deepakprajapati7228
      @deepakprajapati7228 3 ปีที่แล้ว

      U r right

    • @NotGodvalo
      @NotGodvalo 2 ปีที่แล้ว +6

      @@deepakprajapati7228 ahh, adhi adhuri knowledge. pair matlab 2-2 ke grp. toh 4 imaginary roots matlab 2 pair. sahi toh hai. pair mei hi toh a rhe hai. zaruri nhi ki ek hi pair ho

    • @Chandangiri8134
      @Chandangiri8134 ปีที่แล้ว +1

      Wrong concept. ...there have not explain about variation of signs in the sequence of coefficients. .....

  • @mdmohidulislam8990
    @mdmohidulislam8990 ปีที่แล้ว

    Most helpful class
    Thanku sir

  • @Amjadkhan-gi4tu
    @Amjadkhan-gi4tu 2 ปีที่แล้ว

    Mashalla so clear it was in understanding the Descartes rule

  • @harshvardhan5063
    @harshvardhan5063 2 ปีที่แล้ว

    I really loved your teaching sir .❤️❤️

  • @ranaislamrony578
    @ranaislamrony578 2 ปีที่แล้ว

    Thanks for solving this pblm.

  • @kartiksaini5619
    @kartiksaini5619 4 ปีที่แล้ว

    waooo sir ekdam mast padhaya apne

  • @lomishmunakhiya7100
    @lomishmunakhiya7100 5 ปีที่แล้ว

    Sir aap bhut bhut bhut achha pdhate ho
    Thank u sir
    🙏🙏🙏🙏

  • @awadheshsaw3193
    @awadheshsaw3193 2 ปีที่แล้ว

    Much knowledge in less time
    Great effort is done to make this video

  • @vineetbum7699
    @vineetbum7699 4 ปีที่แล้ว +1

    Thnku soo much sir...for this helpfull video...

  • @mlakhoirom5276
    @mlakhoirom5276 3 ปีที่แล้ว

    Thanks for the explanation sir. Really really really great 👍👍👍🙏🙏🙏🙏🙏sir

  • @rdmathematics7985
    @rdmathematics7985 3 ปีที่แล้ว

    Most thanks full video sir because start 1 sem ex and most of dout your solve in your utube chinal this chanal most help full plzz your shear all bsc video me thanks sir🙏🙏🙏

  • @karanahuja7315
    @karanahuja7315 2 ปีที่แล้ว +1

    Thank you🙏 sir for your hard work

  • @kritiarora1476
    @kritiarora1476 3 ปีที่แล้ว +1

    Thank u so much!!💓

  • @ABDULLA.AL-SAMIM
    @ABDULLA.AL-SAMIM 2 ปีที่แล้ว

    Sir thanks thanks thanks thanks for your explanation 😃😃😃😃😃😍😍😍😍

  • @Noname-zt7ii
    @Noname-zt7ii 4 ปีที่แล้ว

    Thanku you sir only due to your video I become able to understand this topic again thanku very much sir 👍👍👍👍

  • @Shiva_Bharti
    @Shiva_Bharti 3 ปีที่แล้ว

    Very very helpful
    Thanku so much sir 🙏

  • @adeshbabu9509
    @adeshbabu9509 5 ปีที่แล้ว +2

    Sir linear programing ke most topic par bhi video banao

  • @mehakfarooq135
    @mehakfarooq135 3 ปีที่แล้ว

    Sir this video was very helpful to me. Thanks alot.

  • @sadabali1228
    @sadabali1228 10 หลายเดือนก่อน

    ❤thank you so much sir 😊😊

  • @mudangkano5267
    @mudangkano5267 4 ปีที่แล้ว

    Yes
    It was really helpful for me too

  • @anyonera8045
    @anyonera8045 4 ปีที่แล้ว +1

    tnx sir. I am from Bangladesh.

  • @nasrinabegam3677
    @nasrinabegam3677 3 ปีที่แล้ว +1

    Thank you sir ... for your helpful explained

  • @dhananjaysahani4470
    @dhananjaysahani4470 4 ปีที่แล้ว

    Nice way of teaching. Thanks a lot sir

  • @ydddfvmljdsgn
    @ydddfvmljdsgn 2 หลายเดือนก่อน

    Isme koi exception nhi kya ? Ye rule har que mei apply kr skte hai?

  • @dipankarkrvermarishu4508
    @dipankarkrvermarishu4508 3 ปีที่แล้ว

    🙏🙏🙏 thanks guru ji

  • @Dairy_of_quotes02
    @Dairy_of_quotes02 4 ปีที่แล้ว +1

    thank you sir ..

  • @Chauhanmeenakashi
    @Chauhanmeenakashi 3 ปีที่แล้ว

    Helpful vdo sir 🙏

  • @hariom5133
    @hariom5133 4 ปีที่แล้ว

    You teach very well and thank u

  • @IndianGamer-qz8lf
    @IndianGamer-qz8lf 3 ปีที่แล้ว +1

    The video was great, but many times the audio didn't match the content.
    Sir kept on saying +, -, + but on the board it was written +,-,-
    Sir also said roots are 5 and -4, but then wrote 5 and -1.
    I know these are very minute mistakes, but they confused me very much.

  • @AbhishekSharma-kn4cj
    @AbhishekSharma-kn4cj 3 ปีที่แล้ว

    Thanks sir 👍😊😄

  • @dzieseliezietsu3905
    @dzieseliezietsu3905 3 ปีที่แล้ว +2

    I know what I'm gonna do this summer.
    I'll watch all your videos 🎷🎷

  • @ckgaming8269
    @ckgaming8269 2 ปีที่แล้ว

    Nice sir ji 👍👍

  • @vuyyurisatyasrinivasarao3140
    @vuyyurisatyasrinivasarao3140 3 ปีที่แล้ว

    Good explanation sir

  • @Rp63888
    @Rp63888 3 ปีที่แล้ว

    Nice class sir 🙏🙏🙏

  • @yaminisahu2986
    @yaminisahu2986 3 ปีที่แล้ว

    Sir you are a great😇

  • @Whochetanmeena
    @Whochetanmeena 2 ปีที่แล้ว

    Very nice sir ji 🙏🏻❤️

  • @DINESHSHARMA-yn6bp
    @DINESHSHARMA-yn6bp 5 ปีที่แล้ว

    Awesome sir🙏🙏🙏🙏

  • @kiranjoshi212
    @kiranjoshi212 3 ปีที่แล้ว

    Very nice sir👍

  • @Sajitkhanvlogs
    @Sajitkhanvlogs 5 ปีที่แล้ว

    Very very thank you sir..🙏

  • @gowrimekala7298
    @gowrimekala7298 5 ปีที่แล้ว +2

    Thank u sir

    • @babansahani9286
      @babansahani9286 5 ปีที่แล้ว

      You are preparing for BSC Mathematics 1st year

  • @sankar-bhuiya--
    @sankar-bhuiya-- 3 ปีที่แล้ว

    Thank you so much sir. Your all vedio is very helpful for me and your teaching is really awesome it's very helpful for me to understand easily. Thank you for making all the vedio

  • @k.sindhu2111
    @k.sindhu2111 4 ปีที่แล้ว

    Tq sir for making this video

  • @JaiShreeRam211.
    @JaiShreeRam211. 11 หลายเดือนก่อน

    Amazing concept😐

  • @anjalipatel4116
    @anjalipatel4116 4 ปีที่แล้ว

    Thank u sooo much for helping sir

  • @deepaksuwalka4681
    @deepaksuwalka4681 5 ปีที่แล้ว +1

    Thank you

  • @dronamrajuchandarshi9758
    @dronamrajuchandarshi9758 4 ปีที่แล้ว

    Thanks for the class sir

  • @multiplythoughtsandidea..9349
    @multiplythoughtsandidea..9349 4 ปีที่แล้ว

    thanks sir...useful in acf also..

  • @vamshikrishnakolanupaka5313
    @vamshikrishnakolanupaka5313 3 ปีที่แล้ว

    Good awesome 👍tqqqqq👏❤️

  • @mathwithsumana9999
    @mathwithsumana9999 3 ปีที่แล้ว

    Really good teacher 👏

  • @puneetrana4291
    @puneetrana4291 3 ปีที่แล้ว +5

    9:12 , In the explanation, you should use at least or at most terminology. Descartes never tells us an exact number of +,- or complex roots.

    • @srvplwl
      @srvplwl 3 ปีที่แล้ว

      right

    • @Harshitsamrat
      @Harshitsamrat 2 ปีที่แล้ว

      Wahi to yar koi bhi padhane AA jate hai ajkal

    • @millionbillion28
      @millionbillion28 2 ปีที่แล้ว

      Yepp.... Max no. Batata hai....

  • @ibnsohan5030
    @ibnsohan5030 3 ปีที่แล้ว

    Thanks Sir 🧡

  • @lalitakushwaha-l7q
    @lalitakushwaha-l7q 2 ปีที่แล้ว

    Sir can we use discardes rule in trigonometric functions????

  • @deepaksuwalka4681
    @deepaksuwalka4681 5 ปีที่แล้ว +1

    Sir thoda jld upload kre video plz.... daily one topic....

  • @ayanbanerjee1379
    @ayanbanerjee1379 ปีที่แล้ว

    sir please upload a video on sturm's method

  • @talhakhan-kx5qo
    @talhakhan-kx5qo 2 หลายเดือนก่อน +1

    I am amazed that no one is pointing that the complete video is wrong as it is partial information. the rule just says about the maximum no.of positive and negative roots the equation can have. the teacher has taken the maximum no.of roots as actual roots and have not considered other possibilities. the video and information in incomplete and wrong.

  • @Probro90366
    @Probro90366 2 ปีที่แล้ว

    Sir thx ❤❤❤🌹🌹🙏🙏🙏🙏

  • @babansahani9286
    @babansahani9286 5 ปีที่แล้ว +1

    Sir ap video's ko continue kijiyga BSC 1st year complex argument par video upload kijiyga thanku so much

  • @ayanbanerjee1379
    @ayanbanerjee1379 2 ปีที่แล้ว

    sir please upload a lecture on sturms function

  • @tanvisharma4290
    @tanvisharma4290 3 ปีที่แล้ว

    Tysm sir🌺

  • @mofijurrahamanseikh9717
    @mofijurrahamanseikh9717 3 ปีที่แล้ว

    Sir , I want to read mathematics from your TH-cam channel.....

  • @ashutoshtiwari2083
    @ashutoshtiwari2083 2 ปีที่แล้ว

    Newton method for integral root ye video nhi h kya?

  • @Wingsindigo883
    @Wingsindigo883 3 หลายเดือนก่อน

    Sir meri ek query h...
    X³-18x-35=0 ek equation hai...iske roots x=5 , x=(-5+i√3)/2 , x=(-5-i√3)/2 hain....one real root and two complex roots...
    But jab hum Descarte's rule of sign apply kr rhe hein to yeh f(-x) ke liye two negative real roots bta raha h..jabki asliyt m iske pass 2 complex roots hein...plzz sir mere iss doubt ko clear kijiye

    • @study-junction02
      @study-junction02 วันที่ผ่านมา +1

      Bhaiya rule ko dhyan se apply kre
      Is ques me Rule ye khta h ki max no. of -ve roos is 2 , lekin aesa nhi khta ki definitely 2 -ve roots honge
      Here no. of -ve roots can be : 0or1or2
      Hope you get it 🙏

  • @aryanshrraghuwanshi
    @aryanshrraghuwanshi 3 ปีที่แล้ว

    I think no. of positive roots(or negative) will be no of tikes sign changes or less than it by multiples of even no.
    Btw thanks sir, I wanted this for my Jee advanced paper.

  • @ypvlog6202
    @ypvlog6202 4 ปีที่แล้ว

    Your explanation is really good and
    It is useful for so many students
    You are doing really a excellent work
    Thank you....

  • @chhandaduttadutta827
    @chhandaduttadutta827 ปีที่แล้ว

    Thanks a lot

  • @AliAli-yq6yh
    @AliAli-yq6yh 2 ปีที่แล้ว

    Great!