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 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😊💥
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.....
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.
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.
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)
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🙏🙏🙏
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
Sir most helpful vedio ❤️ subscribed with just watching this quality content at first sight !!!!! Most valuable teacher 😌and most important topic for polynomials ,❤️❤️
@@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
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.
I have one doubt. If number of postive real root is 2 then does the equation have exactly 2 positive real root or atmost 2 postive real root. Please clear this doubt.
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
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.
Thanks for your comment, your appreciation always motivate us to do such kind work.
Join Telegram Channel : t.me/mathsbygpsir
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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
Galat mat pdhaya kro yaar jahar ghol rhe ho
@@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😊💥
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
Very good& easiest explanation sir.👌👌👌thank you for giving this explanation.
Hii
All the video for this topic...nd the way of ur explaning are awesome...u r great sir
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.....
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.
@@GandhiknowledgeBank sir bsc 1 year ek bhi lecture nhi dala hai you tube par
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.
Sir apke teaching lajavab hai mene pehle video dekhi apki or ache se samajh aya 👍👍
You are my best teacher sir thanku so much
Bhot acha smjh aaya....thnku sir💥😊
Sir aap bahut achha padhate ho
Thank you so much sir
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.
Thanks from BD
Thank you so much sir your every video is very helpful for me and finally you make this video
sir aap mehnat karte rahiye
aap normal teachers se kahi guna acha padhate ho
your channel deserves atleast a million subscribers sir
One million done ✅
Isme koi exception nhi kya ? Ye rule har que mei apply kr skte hai?
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)
Thanks sir your video is so helping 🙏
Splendid lecture
Sir itni asani se samjhaya 😃, equation dekh ke kitna dar lagta hai... Lekin aap ke samjhane par easy ban geya😇
Sir Descartes method of finding roots per v video bna dijiye 🙏
Thanks for solving this pblm.
Thanks sir 🙏
thanks to you sir...i am prearing jee adv and i struct at these kind of question but found this video...so helpfull❤️
Most helpful class
Thanku sir
Thankyou so much sir
👌👌😃😃
Very Nice. Excellent.
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🙏🙏🙏
Nice explanation sir❤❤❤❤
it's very helpful for me ❤❤❤❤❤
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
Thnku soo much sir...for this helpfull video...
sir please upload a video on sturm's method
Thanks for uploading such vedios, very helpful
Good explanation sir
Sir linear programing ke most topic par bhi video banao
Thank you sir 🥰🙏
Sir thanks thanks thanks thanks for your explanation 😃😃😃😃😃😍😍😍😍
Thank you sir ... for your helpful explained
Hi
Achha explain kiya sir aapne 👍👍
Sir this video was very helpful to me. Thanks alot.
❤thank you so much sir 😊😊
Thanks for the explanation sir. Really really really great 👍👍👍🙏🙏🙏🙏🙏sir
sir please upload a lecture on sturms function
Your are very well explained sir. Thank you 🙏🙏
tnx sir. I am from Bangladesh.
Very very helpful
Thanku so much sir 🙏
Tq sir for making this video
Sir it was so easy or you made it ... whatever it is ... thank you sir with my full heart😁😁🙏🙏
Sir , I want to read mathematics from your RUclips channel.....
Thank you
Ur explanation nd teaching techniques are wonderful sir💯💯
But please improve ur 📷 quality
Anyways thnk sir👍👍
Thank u so much!!💓
Thank you sir..
You are amazing sir .😎
Thanks a lot
Mashalla so clear it was in understanding the Descartes rule
Thank you sir ji
You teach very well and thank u
I really loved your teaching sir .❤️❤️
Thanks sir 👍😊😄
Sir most helpful vedio ❤️ subscribed with just watching this quality content at first sight !!!!! Most valuable teacher 😌and most important topic for polynomials ,❤️❤️
*video
In last example, there will be exactly 2 imaginary roots as imaginary roots always occur in conjugate pair.
U r right
@@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
Wrong concept. ...there have not explain about variation of signs in the sequence of coefficients. .....
Thank u sooo much for helping sir
Nice way of teaching. Thanks a lot sir
Thank you🙏 sir for your hard work
Sir can we use discardes rule in trigonometric functions????
Yes
It was really helpful for me too
Much knowledge in less time
Great effort is done to make this video
Very nice sir👍
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.
Agree
Sir ap video's ko continue kijiyga BSC 1st year complex argument par video upload kijiyga thanku so much
hats off my legend.. mazaa aa gya sur
Amazing concept😐
Sir aap bhut bhut bhut achha pdhate ho
Thank u sir
🙏🙏🙏🙏
Sir please some more questions on Ferrari method.
Thanks
Time saving ❤️...earned one more subscriber
Thanku you sir only due to your video I become able to understand this topic again thanku very much sir 👍👍👍👍
Sir thoda jld upload kre video plz.... daily one topic....
Sir you are a great😇
Thanks for the class sir
I have one doubt.
If number of postive real root is 2 then does the equation have exactly 2 positive real root or atmost 2 postive real root.
Please clear this doubt.
Very nice sir ji 🙏🏻❤️
Super thanks
thanks sir...useful in acf also..
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
You great sir
Very very thank you sir..🙏
🙏🙏🙏 thanks guru ji
Helpful vdo sir 🙏
Sir how to find the nature of roots of the equation x^2-2x+8=0 by by descartes rule of sign
Great!
Tysm sir🌺
Very good
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.
Nice sir ji 👍👍
Thanks Sir 🧡
waooo sir ekdam mast padhaya apne
Nice class sir 🙏🙏🙏