09 - The Quadratic Formula Explained, Part 1 (Practice Problems & Solutions)

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  • Опубліковано 16 січ 2025

КОМЕНТАРІ • 141

  • @vuyisekaluphuzi8249
    @vuyisekaluphuzi8249 2 роки тому +29

    Nobody else on UA-cam teaches the way you do. When I'm failing to undsomething I just come to your channel and you always make me understand

  • @juliel6023
    @juliel6023 3 роки тому +23

    My college classes have youtube videos and they can't come CLOSE to explaining it as well as you can. I always come straight to you for explanations and it has helped me so much! THANK YOU!

  • @jonnuki
    @jonnuki 2 роки тому +7

    Now I'm glad that I learned completing the square before learning the quadratic formula! You made it so clear how they are derived. Thank you, great punch line

  • @Sc19869
    @Sc19869 2 роки тому +38

    You sir have thought me so much, I’m 35 and studying for my ged. Thank you for your easy to learn videos.

    • @Ellaodi
      @Ellaodi 2 роки тому +2

      That is so awesome, Saul!!! You can do this!

    • @Sc19869
      @Sc19869 2 роки тому +6

      @@Ellaodi thank you. I passed the math test 2 months ago.

    • @akramshaheen2481
      @akramshaheen2481 2 роки тому +2

      Bro your 35 and studying quadratic formula I'm 14

    • @ESTAAAAAA
      @ESTAAAAAA 2 роки тому +3

      @@akramshaheen2481 what a big boy you are

    • @YourWrongImRight933
      @YourWrongImRight933 2 роки тому +1

      @@akramshaheen2481 bro you’re 14 studying quadratic formula im in 7th grade

  • @farohakhan6767
    @farohakhan6767 10 місяців тому +2

    Welldone 🎉

  • @CostenMichelo
    @CostenMichelo Рік тому +3

    I always enjoy this style

  • @rommelzambrano7799
    @rommelzambrano7799 3 роки тому +8

    What a great tutor you are, you make that real understandable. Thanks, greetings from Cali, Colombia.

  • @damon123jones
    @damon123jones 4 роки тому +9

    i love your style, best teacher on a subject i have always been sble to do but never really understood

  • @eddyvilla-wz4zd
    @eddyvilla-wz4zd Рік тому +1

    You're one of the best math coches on youtube.

  • @lzyong306
    @lzyong306 Рік тому +2

    Best explanation ever

  • @zhengzhang3903
    @zhengzhang3903 Рік тому +2

    One thing I would like to mention is that 15:33 if a is negative, and you take the square root of 4a^2 you can get -2a. But since there is a plus or minus sign in the front, it does not change the form.

  • @cyrusgitonga7984
    @cyrusgitonga7984 Рік тому +2

    12:12 is reassuring. That even the best of the best would be losing sight of the tail end of this thing they are unravelling if they look aside even for a brief moment

  • @NaweedGhafori
    @NaweedGhafori Рік тому +2

    At 7:58 why do you have to divided by 2 and square root it pleases response I hope you see it

  • @littlesunshine0
    @littlesunshine0 Рік тому +1

    I'm Brazilian and I loved your class!

  • @hollyhowarth3415
    @hollyhowarth3415 Рік тому +3

    You are a great teacher, you make things make so much sense. I love how you set up the lesson with objectives and explain why things are the way they are. Thank you so much

  • @SundayFavour-n5p
    @SundayFavour-n5p Рік тому +2

    I love your teaching; well analysed.

  • @smendetv1105
    @smendetv1105 4 роки тому +12

    A blow by blow account of the derivation...much better clear as daylight

  • @zacharycavalear2643
    @zacharycavalear2643 4 роки тому +16

    Thank you for every video you decide to do! Your explain everything I always have questions on coming from textbook teachings! Hands down best teacher I’ve found

  • @Dhananjay4x41
    @Dhananjay4x41 9 місяців тому +1

    Sir you are the living legend ❤

  • @jevonjohnson5797
    @jevonjohnson5797 9 місяців тому +1

    Man you understand everything.....thanks for sharing been following ur chem and physics also

  • @JaylynOpave
    @JaylynOpave 10 місяців тому +1

    You are the best teachers at first I don't understand this topic but through your slow explanations I understood ❤

  • @MP-yo2fx
    @MP-yo2fx 3 роки тому +1

    Again you are saving my life!! You are truly the best

  • @scottpuk-wq9dq
    @scottpuk-wq9dq Рік тому +1

    I really love your teaching i understand every thing clearly..thanks so much

  • @sadhanghosh7721
    @sadhanghosh7721 9 місяців тому +1

    Wow!!, Sir, your intelligence & technic of taught is no doubt claimant of praise. Really, really, really it's adorable. Many, many thanks, Professor.

  • @acaciak2023
    @acaciak2023 Місяць тому

    You are an incredible teacher! Thank you! 🙏🏻

  • @Tramicful
    @Tramicful 2 роки тому +1

    Amazing, you are my saviour, great presentation, educational and entertaining!

  • @majorynambeye3943
    @majorynambeye3943 2 роки тому +1

    You are best. You really explain the work very well. Thanks for making me understand how the quadratic formula is derived.

  • @NaweedGhafori
    @NaweedGhafori Рік тому +1

    At 7:58 why do you have to divided by 2 and square root answer please I need really help please I hope you reply.

  • @chigazuibe9943
    @chigazuibe9943 Рік тому +1

    I love all teachings and also it's very easy to understand

  • @EuniceMuyangana
    @EuniceMuyangana Рік тому +1

    Wow learning it today hours before my exam thanks a lot 🤗really helped

  • @carolhill9934
    @carolhill9934 7 місяців тому

    Still watching still learning. You are the best!

  • @mirvetloli2
    @mirvetloli2 Рік тому +1

    thats was amazing thank you about the intresting lesson

  • @tresajessygeorge210
    @tresajessygeorge210 Рік тому +1

    THANK YOU... SIR...!!!

  • @emmyikande7492
    @emmyikande7492 Рік тому +1

    God bless you sir i have downloaded lots of your videos and i must commend you for a job well done. kudos🥰

  • @Shoreline4Iron
    @Shoreline4Iron 3 роки тому +1

    Thank you. I enjoy learning from you.

  • @jimralston4789
    @jimralston4789 21 день тому

    This is an awesome lesson and to put a bow on this, watch a video that shows how Completing the Square is done geometrically too. It will really help to wrap your head around the concept in a visual way.

  • @charityliwewe9711
    @charityliwewe9711 2 роки тому +1

    U've made it easier just like A,B,C,D 👏 👏

  • @elijahbanda7989
    @elijahbanda7989 3 роки тому +1

    You are the best hoping to see more maths videos 👏👏👏👏 thanks sir I now memorise the method like writing my name

  • @learnersupdate
    @learnersupdate 2 роки тому +1

    Nice and detailed, Simple!

  • @guidofeliz8384
    @guidofeliz8384 5 років тому +6

    Can you prove the quadratic formula? Jason, here is an idea for you. Why not make videos in terms of math proofs? I am sure that math majors would love you for it.

  • @ritam20071
    @ritam20071 Рік тому +2

    This method is called Sridharacharaya method discovered in 10th century AD by Indian mathemetician

    • @MKlukowski
      @MKlukowski Місяць тому

      What about Muhammad ibn Musa al-Khwarizmi from the 9th century or earlier Babylonian tablets from 1700 BCE?

  • @mmbogo2873
    @mmbogo2873 6 місяців тому

    Talented teacher. Thanks

  • @sawdustwoodchips
    @sawdustwoodchips 8 місяців тому +2

    Completing the square allows you to find the turning point of the quadratic.

  • @MabvutoMilambo-xe3hk
    @MabvutoMilambo-xe3hk Рік тому +1

    Nice 👍

  • @shawnd.8498
    @shawnd.8498 2 роки тому +1

    You saved the day for me, sir!

  • @sallaklamhayyen9876
    @sallaklamhayyen9876 3 роки тому +5

    perfect thank you

  • @clementmichaelc2876
    @clementmichaelc2876 4 роки тому +3

    This is very helpful

  • @worknehgebeyehu9598
    @worknehgebeyehu9598 2 роки тому

    Thank you teacher

  • @stanphiri2341
    @stanphiri2341 3 роки тому +3

    Amazing

  • @emmanuelwilson902
    @emmanuelwilson902 3 роки тому +1

    Good work out,am grateful

  • @ebrimagaye-nd1ru
    @ebrimagaye-nd1ru Рік тому

    I like the way you teach

  • @sureshidu3119
    @sureshidu3119 2 роки тому +1

    Very nice 👍👍👍👍

  • @jonwill
    @jonwill 3 роки тому +1

    Excellent presentation; thank you for sharing.

  • @ursulagwozdz1955
    @ursulagwozdz1955 3 роки тому +2

    Brilliant!

  • @robertlawrence2490
    @robertlawrence2490 Рік тому +1

    Hi, I have taught high school and college math for over 30 years. I always learn some tips from watching your lessons. Do you teach calculus? Robert

  • @TheByzmal
    @TheByzmal 2 роки тому +1

    (Ques) I 15 min & 35 secs. Why did you square root the denominator & not the numerator.?
    You only square root 4ac^2 & not the terms above it. Why?

    • @MathAndScience
      @MathAndScience  2 роки тому +1

      I did take the square root of the bottom. The answer was 2a.

    • @TheByzmal
      @TheByzmal 2 роки тому +1

      @@MathAndScience I see & know that, I am asking about the top. Why didn't b^2 - 4ac became b - 2ac?

  • @exotickhanaarif4333
    @exotickhanaarif4333 3 роки тому +1

    Amazing simply amazing

  • @ownagebox
    @ownagebox Рік тому +1

    at my time we only learnd the pq-formula

  • @lauren9004
    @lauren9004 Рік тому

    Thank you!

  • @Tamilore831
    @Tamilore831 7 місяців тому

    Thanks teacher ❤

  • @carolinemarie44
    @carolinemarie44 2 роки тому +1

    Please tell me about the i. I'm jus learning all this.

  • @Ihuoma307
    @Ihuoma307 Рік тому +1

    Waw nice

  • @IM-nb8rk
    @IM-nb8rk 7 місяців тому

    Great vid!

  • @rubiegamble898
    @rubiegamble898 2 роки тому +2

    I'm trying to get my GED and I need to learn the Quadrtic Formula.

  • @likesmusic11
    @likesmusic11 2 роки тому +1

    This professor is no joke!!!!!! My professor works the problem, but does not go into detail as he does.

  • @iqrahashi8633
    @iqrahashi8633 4 роки тому +1

    Thanks

  • @Koreanbosuji
    @Koreanbosuji 4 роки тому +2

    If you are here and wondering WHO IS THIS TEACHER EXTRAORDINAIRE?!
    (Well I DID at least.)
    I have watched innumerable wonderful math videos for my child, some very helpful some hardly, BUT NONE had a speaker and explainer who cut through all the fine planes and invisible obstacles which trip up a thorough understanding of the topic at hand.
    He's Mr Jason Gibson.
    And VOILA .. why am I not surprise anymore that he's SO DAMN GOOD?! Read on
    ( Found from the link to his website :www.mathtutordvd.com )
    He has :
    - Bachelor's in Electrical Engineering
    - Master in Electrical Engineering AND Physics
    Is a :
    - Former NASA Space Shuttle Mission Controller
    - Rocket Scientist for NASA Plasma Propulsion
    And why is he doing these videos??
    Well "He has a Passion for Teaching and Making Complex Topics Simple to Understand!!!"

    • @Koreanbosuji
      @Koreanbosuji 4 роки тому +1

      @Jason Gibson

    • @MathAndScience
      @MathAndScience  4 роки тому +3

      Thank you so very much! I really appreciate the kind words!

    • @Koreanbosuji
      @Koreanbosuji 4 роки тому +1

      @@MathAndScience :-D Anytime - welcome

  • @apoll0626
    @apoll0626 2 роки тому +1

    why do you prime factorise

  • @hamzatayomide2482
    @hamzatayomide2482 2 роки тому

    I would like to see more of this

  • @johnmaulkin-ur8lm
    @johnmaulkin-ur8lm Рік тому

    Fantastic job but i am confused; at 13.19 mins.
    b/2a.x + b/2a.x = b/a.2x. Please help. Thank you.

  • @Dharratafara
    @Dharratafara 5 місяців тому +1

    I did not get it😢

  • @vaibhavsingh8361
    @vaibhavsingh8361 3 роки тому +2

    Quadratic Formula is Known as Sri Dharacharya Fomula Which is Derived from Indian Mathematician

  • @eenayeah
    @eenayeah 2 роки тому

    Phenomenal!

  • @sandrarr5434
    @sandrarr5434 Рік тому

    Hello there I'm studying the AQA foundation and I wondered if you could tell me how does one know when to apply the Elimination process t o simultaneous equation and when to apply substitution what is the distinctive different that I should know please.? Is it when there's an X Square coefficient

  • @Yesmayo1982
    @Yesmayo1982 3 роки тому +1

    why is b/ax divided by 2 then squared? WHy not do the same with x squared and -c/a?

  • @ChavoMysterio
    @ChavoMysterio 4 роки тому +3

    Here's a fun fact about me: I first learned about the quadratic formula in Geometry.

  • @AruKharsid-b6x
    @AruKharsid-b6x 5 місяців тому

    Thank I like this videos

  • @jonnuki
    @jonnuki 2 роки тому +1

    an endless accordion of whiteboards! awesome

  • @theophonchana5025
    @theophonchana5025 3 роки тому +1

    b^(2) - 4ac = 13

  • @ALLMIGHTYGH
    @ALLMIGHTYGH 19 днів тому

    Please 🥺🙏 why did you have to divide by 2 for b/a

  • @theophonchana5025
    @theophonchana5025 3 роки тому +1

    y^(2) - 4y + 13 = 0
    y = (- (-4) + sqrt (-36) ÷ 2
    y = (4 + sqrt (-36)) ÷ 2
    y = error

  • @RieneReaper
    @RieneReaper Рік тому +1

    I’m 22. I missed my math test by 5 points. Hands down the best mathematical/science tutor.

  • @clairgarrick9842
    @clairgarrick9842 2 роки тому +1

    I always forget how to derive the quadratic formula from completing the square.

  • @sarojrai3123
    @sarojrai3123 3 місяці тому

    My question is how? Did you get 4ac.

  • @theophonchana5025
    @theophonchana5025 3 роки тому +1

    a = 3
    b = 1
    c = -1

  • @theophonchana5025
    @theophonchana5025 3 роки тому +1

    sqrt (-36) = error

  • @theophonchana5025
    @theophonchana5025 3 роки тому +1

    #QuadraticEquation

  • @solomonigba2580
    @solomonigba2580 2 роки тому

    I have some questions here

  • @nickmasters6239
    @nickmasters6239 3 роки тому +1

    stop looking at the comments and look a the video

  • @zbigniewbrzezinski8869
    @zbigniewbrzezinski8869 4 роки тому

    You forgot -1 on the equation !
    (First example)

  • @jessethompson8606
    @jessethompson8606 3 роки тому

    @19:28 oh it is definitely still considered some form of black magic..

  • @theophonchana5025
    @theophonchana5025 3 роки тому

    sqrt (-36) = invalid input

    • @MathAndScience
      @MathAndScience  3 роки тому

      You need to get a calculator that can give you a result that is an imaginary number. When you take the square root of a negative number a regular calculator cannot compute the answer but a scientific calculator will give you an imaginary answer which is the correct answer.

  • @kainacorsiga3590
    @kainacorsiga3590 3 роки тому

    Oh

    • @Tarzanaxx
      @Tarzanaxx 2 роки тому

      Square root of. 20 IS NOT 5. ERROR IN EXAMPLE.

    • @Tarzanaxx
      @Tarzanaxx 2 роки тому

      Square toot of 20 is 4.47…

  • @APGaming-f7q
    @APGaming-f7q 6 місяців тому

    this formula is called shree dharacharya formula

  • @kcjones2048
    @kcjones2048 3 роки тому +1

    this was not a good this shit made me more confused

    • @valorvoz
      @valorvoz 2 роки тому

      i feel you hulk

  • @nripeshkumarmishravinayak664
    @nripeshkumarmishravinayak664 3 роки тому

    SRIDHARACHARYA RULE

  • @jag86648
    @jag86648 Місяць тому

    I think it's all the terms and all the different methods of teaching algebra, is what makes it much harder. Completing the square? Same thing with English. The terms and names for words, TERMS FOR WORDS, is what makes my life miserable.

  • @crownherprincess1812
    @crownherprincess1812 2 місяці тому

    lol im still confused

  • @stevenscottoddballz
    @stevenscottoddballz 3 роки тому +2

    3:52 I keep hearing "Always get 2 solutions", but when I did [3A² = 6A - 3], there was only ONE solution.

    • @jozef-aerts-wiskunde
      @jozef-aerts-wiskunde 3 роки тому +2

      You have 2 , 1 or 0 solutions , depending on the value of d^2 -4ac ( called discriminant )

    • @stevenscottoddballz
      @stevenscottoddballz 3 роки тому +1

      @@jozef-aerts-wiskunde I am VERY familiar with the discriminant. I have had trouble with [S² + 7/4 = 1/2]. I don't know what to do with the 2 in the discriminant.

  • @EuniceMuyangana
    @EuniceMuyangana Рік тому

    Wow learning it today hours before my exam thanks a lot 🤗really helped