Number Theory Linear Congruences 1

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  • Опубликовано: 21 дек 2024

Комментарии • 38

  • @mdobner3938
    @mdobner3938  6 лет назад +17

    Yes, at 8:24, Problem 1b should be 16. Sorry for the mistake and thank you for pointing it out!

  • @mhxprs
    @mhxprs 3 месяца назад

    Very nice. Very very nice.

  • @tasuja3219
    @tasuja3219 4 года назад

    Nicely and calmly explained.
    Thank you, Sir.

  • @nyashagatsi8511
    @nyashagatsi8511 2 года назад

    Why did we subtract in the first two questions and then added the mod to our integer b on the last question

  • @mayannrivera4668
    @mayannrivera4668 Год назад

    I like the way you explain everything.

  • @astley8522
    @astley8522 3 года назад +1

    the correct answer should be x=16(mod26) Thank you for such a clear representation. Even if you add positive 26 the answer is just same.

  • @AmandeepSingh-ur8td
    @AmandeepSingh-ur8td 4 года назад

    Excellent work Sir 🙏🙏🙏

  • @mayannrivera4668
    @mayannrivera4668 Год назад

    Thankyou. It helps me a lot

  • @sunshineb1778
    @sunshineb1778 5 лет назад

    man, you're genius!!! The best method ever!!!

  • @IODell
    @IODell 3 года назад

    Excellent explanation. Thank you.

  • @ivayloivanov5766
    @ivayloivanov5766 Год назад

    Can you help me with this, please:
    x ≡ 2 (mod 11)
    x ≡ 9 (mod 15)
    x ≡ 7 (mod 9)
    x ≡ 5 (mod 7) ?

    • @michelmegabacus7894
      @michelmegabacus7894 9 месяцев назад

      ((d divide n) and (a ≡ b (mod n)) ==> (a ≡ b (mod d))
      x ≡ 9 (mod 15) ==> x ≡ 9 (mod 3) x ≡ 0 (mod 3)
      x ≡ 7 (mod 9) ==> x ≡ 7 (mod 3) x ≡ 1 (mod 3)
      It is impossible.

  • @miansaif6225
    @miansaif6225 2 года назад

    Kindly make an other video for reaiming questions of problem 4.4 page no 82 itx my humbaly request

  • @pushpakrishnaveni8699
    @pushpakrishnaveni8699 5 лет назад +1

    Thank so much ...This Video Helped me For Exam time...in 5x=2is 16 not 15 ...sry For Pointing..u

  • @شيخةالحكمانية
    @شيخةالحكمانية 3 года назад

    How we can show that 89 | 2^44 - 1 ????

  • @zeni-ee4vl
    @zeni-ee4vl 5 лет назад

    thanks for the video. quite helpful approach!

  • @rnvlog4936
    @rnvlog4936 2 года назад

    I don't see the down side because the text is hide the board

  • @maherkhamassi3551
    @maherkhamassi3551 4 года назад

    At 8:00 we cant divide by 5 because (26 notre prime )

  • @MrGold-zn1xo
    @MrGold-zn1xo 6 лет назад +2

    8:24 did you mean 16?

    • @stefdanut123
      @stefdanut123 5 лет назад +1

      yes it';s 16 :D

    • @aborne
      @aborne 5 лет назад

      @@stefdanut123 I saw that too. It happens...

  • @madykz101
    @madykz101 5 лет назад +1

    Watch at 1.25 speed. Good video, thanks!

  • @azumamurakami7842
    @azumamurakami7842 4 года назад +1

    25X=15 mod29 ------------(1)
    ---------------------------
    - 4X=15 mod29 ------------(2)
    (1) + (2)X6
    X=105=18 mod29
    Ans. 18

  • @mathsmahesh
    @mathsmahesh 4 года назад +1

    Wonderful! Explained in simplest way. Sir, can you explain 34x≡60 (mod 98) using same technique?

    • @doctorscalling9479
      @doctorscalling9479 4 года назад

      Since 98 is not prime, then this method is invalid

    • @inthebackwiththerabbish
      @inthebackwiththerabbish 4 года назад

      @@doctorscalling9479 21 is not a prime either

    • @Haalita21
      @Haalita21 3 года назад +3

      • Step 1 - Divide both sides by 2
      17x = 30 (mod 49)
      • Step 2 - Express 30 (mod 49) as -68 (mod 49)
      17x = -68 mod (49)
      • Step 3: Divide by 17
      x = -4 (mod 49)
      = 45 (mod 49)

  • @raquelc355
    @raquelc355 6 лет назад +3

    I think you meant x is congruent to 16mod26 in 1.b

  • @pdjibril
    @pdjibril Год назад

    Thanks

  • @tefejenni
    @tefejenni Год назад

    Adding 26 to -10 is 16 not 15

  • @BenSamuel-t2f
    @BenSamuel-t2f 3 месяца назад

    1b. Please check this:
    Can x=(-10+26) mod26
    X=15mod26
    Or
    X=15mod26

  • @amafamz7699
    @amafamz7699 8 месяцев назад

    15 or 16