From linear diophantine eq value of b in this concept is negative then x should x not-m/d times t i am confused plzz reply
@gulabjamun777
2 жыл бұрын
Hello ma'am is there any method or formula to reduce like in Q3 you did?
@umarcharak
2 жыл бұрын
Ma'am if gcd will be 1 then what should I do
@vmmaker1728
2 жыл бұрын
Mam can u tell now i.e how 150 is not the solution instead of 26?
@tryingggtobesanehere
2 жыл бұрын
Thank you so much mam .... very helpful
@tariff9761
2 жыл бұрын
this is a rly easy and straightforward method thanks.
@sonaraghavan9454
3 жыл бұрын
Thank you for the wonderful video. Can you please let me know when is multiplicative inverses used to solve linear congruences?
@mmohan8952
7 күн бұрын
Mam your voice is soo sweet
@devagya9935
2 жыл бұрын
I'm so dumb in maths 😭😭😭😭
@Gamerboy007-j8r
Жыл бұрын
Hiiii
@Ahnos
7 ай бұрын
Same
@siddharthgarg7309
4 ай бұрын
Ese kon rota h😂❤
@CatchLearning
Жыл бұрын
Dil ka yeh kya Raaz hai Jane kya ban gaye..
@komalverma284
2 жыл бұрын
Maam if i am not taking comman 3 than my x values are changed bcoz mai agar cooman nhi le rhi hu to xnot ki value 3 a rhi h and then x ki values change ho jayengi
@MathPod
2 жыл бұрын
Well, you can try other way: Let say you are solving 9x cong 6 (mod 15) without cancelling. Here take x=9, you get 9(9)=81 cong 6 (mod 15). This is correct as 15 divides 75. So you can choose solution as x=9. Similarly find other solutions. Of course there is no unique way to handle these problems, as long as your answers in reduced forms are the same, its good!.
@srinivasj6542
4 ай бұрын
28x came in 3 rd Solution , reason for choose that one Any
@heybuddy_JAI_SHREE_RAM
2 жыл бұрын
Solution of 1st ques is 4 but u didn't tell why?
@kamaljitkaur6469
4 ай бұрын
gcd of what
@DBSIR3512
2 жыл бұрын
Kuch samjh m nahi aaya
@ArG-qk2dj
Жыл бұрын
gcd(9,15)=3 9x congurent 6(mod 15) is step ko 3 say divide Karna ha 3x congurent 2(mod 5) aay ga Then hum ny 2 k andar module ko add Karna ha tab Tak jab Tak wo 3 pay divide na ho jay or x na aa jay 3x congurent 2+5 (mod 5) 3x congurent 7 (mod 5) 3x congurent 7+5(mod 5) 3x congurent 12 (mod 5) Now 3 divide 12 so X congurent 4(mod 5)
@ryanreefat1149
2 жыл бұрын
Mam, in the first example, how come x=4 is true for the 2(mod 5) Could you please explain.
@DrawMeAParadox
2 жыл бұрын
Hello. That's because 3*4 = 12(mod 5) = 2(mod 5), which means if you divide 12 by 5 you will get a residue 2.
@kamaljitkaur6469
4 ай бұрын
@@DrawMeAParadox residue means quotient or remainder
@kamaljitkaur6469
4 ай бұрын
i didnt get b/d
@Sourav19
3 жыл бұрын
I am in class 9 ...and how can i understand ? Pls help
@MathPod
3 жыл бұрын
Start congruence topic from first video on congruence, and prefer doing divisibility topic as prerequisite.
@archithak9097
3 жыл бұрын
Please share the link of your previous video "What is linear Congruence ?? "
@MathPod
3 жыл бұрын
See all videos here: kzitem.info/door/PLLtQL9wSL16iRzTi2aKPiHO1f1UjTTkJD
@ivayloivanov5766
Жыл бұрын
Can you help me with this, please: x ≡ 2 (mod 11) x ≡ 9 (mod 15) x ≡ 7 (mod 9) x ≡ 5 (mod 7) ?
@mate.maticamente
5 ай бұрын
Use Chinese remainder theorem
@adityavinaykumar1992
2 жыл бұрын
183x=28x(mod31) how???
@Linda-bn9su
2 жыл бұрын
YES! that is where she lost me!
@stefan67367
Жыл бұрын
183-(31×5)=28
@ritikabania1636
11 ай бұрын
@@stefan67367 where did 5 come from?
@stefan67367
11 ай бұрын
@@ritikabania1636 since one year im out of maths. I really dont know what i have to writing.
@ujjwalsahu4163
2 ай бұрын
@@stefan67367bro you were right lol i am replying after long since i learning now, so gcd of 183,31 is as same as gcd of 28,31 because of long division euclid theory u probably know
@mevadavraj4178
3 жыл бұрын
In which std it comes so that I can buy book as I am preparing for prmo
@luckychouhan3393
2 жыл бұрын
It comes in 1st year
@luckychouhan3393
2 жыл бұрын
But you can learn it, by the way in which std do u study ?
@mevadavraj4178
2 жыл бұрын
@@luckychouhan3393 10th std
@mevadavraj4178
2 жыл бұрын
@@luckychouhan3393 ok
@ajitpal0821
2 жыл бұрын
What will be change in answer when don't apply cancellation property please reply
@MathPod
2 жыл бұрын
You may solve the congruence without use of cancellation property. The answer will remain same
@ajitpal0821
2 жыл бұрын
@@MathPod ok
@anushakumari5599
3 жыл бұрын
Very helpful video
@sameeronline6414
Жыл бұрын
Thanks a lot mam
@drcricket4563
Жыл бұрын
What did u understand
@sameeronline6414
Жыл бұрын
@@drcricket4563 everything bro
@drcricket4563
Жыл бұрын
@@sameeronline6414 bro question itself is wrong
@brindhapondy
3 жыл бұрын
How 183x congruent to 28x(mod31)...I can't understand how it's came?
@MathPod
3 жыл бұрын
Because 183-28=155, which is divisible by 31. Or by definition of congruence we have 183x-28x=155x=31*5x, which is a multiple of 31. So we can put 183x is congruent to 28 x ( mod 31).
@MathPod
3 жыл бұрын
Here, we simply wanted to reduce 183, so you may follow similar process, and put 183 as congruent to y(say) provided, 183-y is divisible by 31. And by reducing like this we want to know, for what value of x, the linear congruence is solvable.
@brindhapondy
3 жыл бұрын
@@MathPod thank you so, much replied soon...my doubt is clear...keep posting a new videos in number theory in Burton book problems..once second thank u so, much
@freegamesstreaming9681
2 жыл бұрын
thank you
@happiememes6986
3 жыл бұрын
Gcd(183,31)-------->????? Is it 1(one)
@nivi8319
2 жыл бұрын
yes
@angshumanvlogs2613
2 жыл бұрын
How is GCD OF 9,15 = 6 IT WILL BE 3
@MathPod
2 жыл бұрын
Just check calculations.
@likh04
Жыл бұрын
Yes it will be 3!
@mathemagics1981
3 жыл бұрын
👍
@seershadas8654
3 жыл бұрын
In the second problem... how u gt 6 as answer...?
@MathPod
3 жыл бұрын
Here I found it by trial taking values of x from set {0,1,2,..,8} w.r.t. modulo n. But we can also see, 10x congruent 15 (mod 45) is same as 2x cong 3 (mod 9), cancelling common terms. Now multiply both sides by 5, we get 10x cong 15 (mod 9). Now 10x is cong to x and 15 is cong to 6 mod 9. so we write x cong 6 (mod 9). Watch my other videos in number theory playlist to see more examples.
@happiememes6986
3 жыл бұрын
I got x0=3 I cant understand how it is 6
@adnstudycirclenetset4145
8 ай бұрын
wast explanation
@ricky4357
2 жыл бұрын
your poor in explanations
@rohanthomas5434
Жыл бұрын
Downvoted
@yo-yotv277
3 жыл бұрын
Good day, can you please answer this one, 4x ≅ 5 (mod12) The instruction determine whether there is a solution to the linear congruences,
@MathPod
3 жыл бұрын
The gcd(4,12)=4, and 4 does not divide 5, so no solution
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