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.....
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.
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.
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)
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
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🙏🙏🙏
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.
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 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.
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
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 🙏
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.
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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
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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😊💥
@@ranjanjha1912jahar to tum ghol rhe ho apni language me
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.....
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
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.
All the video for this topic...nd the way of ur explaning are awesome...u r great sir
Very good& easiest explanation sir.👌👌👌thank you for giving this explanation.
Hii
@@sonalisarve3664 hyy darling 😘
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
Sir apke teaching lajavab hai mene pehle video dekhi apki or ache se samajh aya 👍👍
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 ✅
You are my best teacher sir thanku so much
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
Bhot acha smjh aaya....thnku sir💥😊
Thank you so much sir your every video is very helpful for me and finally you make this video
Splendid lecture
Very Nice. Excellent.
Thankyou so much sir
👌👌😃😃
thanks to you sir...i am prearing jee adv and i struct at these kind of question but found this video...so helpfull❤️
Sir itni asani se samjhaya 😃, equation dekh ke kitna dar lagta hai... Lekin aap ke samjhane par easy ban geya😇
hats off my legend.. mazaa aa gya sur
Achha explain kiya sir aapne 👍👍
Time saving ❤️...earned one more subscriber
Thanks sir your video is so helping 🙏
Your are very well explained sir. Thank you 🙏🙏
it's very helpful for me ❤❤❤❤❤
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)
🙏thank you sir
Thanks for uploading such vedios, very helpful
Sir Descartes method of finding roots per v video bna dijiye 🙏
Sir it was so easy or you made it ... whatever it is ... thank you sir with my full heart😁😁🙏🙏
You are amazing 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
Sir aap bahut achha padhate ho
Ur explanation nd teaching techniques are wonderful sir💯💯
But please improve ur 📷 quality
Anyways thnk sir👍👍
Nice explanation sir❤❤❤❤
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. .....
Most helpful class
Thanku sir
Mashalla so clear it was in understanding the Descartes rule
I really loved your teaching sir .❤️❤️
Thanks for solving this pblm.
waooo sir ekdam mast padhaya apne
Sir aap bhut bhut bhut achha pdhate ho
Thank u sir
🙏🙏🙏🙏
Much knowledge in less time
Great effort is done to make this video
Thnku soo much sir...for this helpfull video...
Thanks for the explanation sir. Really really really great 👍👍👍🙏🙏🙏🙏🙏sir
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🙏🙏🙏
Thank you🙏 sir for your hard work
Thank u so much!!💓
Sir thanks thanks thanks thanks for your explanation 😃😃😃😃😃😍😍😍😍
Thanku you sir only due to your video I become able to understand this topic again thanku very much sir 👍👍👍👍
Very very helpful
Thanku so much sir 🙏
Sir linear programing ke most topic par bhi video banao
Sir this video was very helpful to me. Thanks alot.
❤thank you so much sir 😊😊
Yes
It was really helpful for me too
tnx sir. I am from Bangladesh.
Thank you sir ... for your helpful explained
Hi
Nice way of teaching. Thanks a lot sir
Isme koi exception nhi kya ? Ye rule har que mei apply kr skte hai?
🙏🙏🙏 thanks guru ji
thank you sir ..
Helpful vdo sir 🙏
You teach very well and thank u
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
Thanks sir 👍😊😄
I know what I'm gonna do this summer.
I'll watch all your videos 🎷🎷
Nice sir ji 👍👍
Good explanation sir
Nice class sir 🙏🙏🙏
Sir you are a great😇
Very nice sir ji 🙏🏻❤️
Awesome sir🙏🙏🙏🙏
Very nice sir👍
Very very thank you sir..🙏
Thank u sir
You are preparing for BSC Mathematics 1st year
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
Tq sir for making this video
Amazing concept😐
Thank u sooo much for helping sir
Thank you
Thanks for the class sir
thanks sir...useful in acf also..
Good awesome 👍tqqqqq👏❤️
Really good teacher 👏
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.
right
Wahi to yar koi bhi padhane AA jate hai ajkal
Yepp.... Max no. Batata hai....
Thanks Sir 🧡
Sir can we use discardes rule in trigonometric functions????
Sir thoda jld upload kre video plz.... daily one topic....
sir please upload a video on sturm's method
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.
Sir thx ❤❤❤🌹🌹🙏🙏🙏🙏
Sir ap video's ko continue kijiyga BSC 1st year complex argument par video upload kijiyga thanku so much
sir please upload a lecture on sturms function
Tysm sir🌺
Sir , I want to read mathematics from your TH-cam channel.....
Newton method for integral root ye video nhi h kya?
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
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 🙏
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.
Your explanation is really good and
It is useful for so many students
You are doing really a excellent work
Thank you....
Thanks a lot
Great!