Algebra - Understanding Quadratic Equations

Поділитися
Вставка
  • Опубліковано 18 січ 2025

КОМЕНТАРІ • 974

  • @georgmtb9671
    @georgmtb9671 4 роки тому +246

    dude, thank you u took 11 minutes and 32 seconds to explain everything my maths teacher tried to explain to us for 3 months.

    • @andreh1200
      @andreh1200 4 роки тому +7

      I think the problem is that you never paid attention.

    • @hastaar2161
      @hastaar2161 4 роки тому +1

      @@andreh1200 no he may have, it's just he didn't ask questions

    • @harrison1153
      @harrison1153 4 роки тому +13

      @@andreh1200 No I actually strongly disagree with that. In some cases that may be true but not all. Most teachers in high schools work at an incredibly slow pace, I have found, which I find very distracting as this is quite a simple subject. The difference is *speed*

    • @lagzilla163
      @lagzilla163 3 роки тому

      @@harrison1153 have u heard of the concept of gt
      if you are so smart that the speed is too slow for you then why dont you get to be in gt there has to be another issue

    • @mintymango3717
      @mintymango3717 3 роки тому +1

      3 MONTHS?! 3 MONTHS???!!! if it took your teacher that long then I think you are the problem dude.

  • @BabylonCentral
    @BabylonCentral 8 років тому +452

    You, Sir, are a great teacher. Perfect video. 5/5. And the bow tie! 6 out of 5. Thank you Sir.

  • @njs811271
    @njs811271 8 років тому +238

    This is the best explanation of quadratic equations I have ever seen. You have earned my subscription.

  • @ricardo-c4l7l
    @ricardo-c4l7l 6 місяців тому +10

    Thank you Michel. Your video is 11 years old but your teaching is timeless. What a star.

  • @MichelvanBiezen
    @MichelvanBiezen  10 років тому +20

    Natalie,
    If the image is out of focus or hard to see, you can change the focus setting

  • @patricksilva2345
    @patricksilva2345 5 років тому +24

    That's all we need to know. Explained in only useful 11:25 minutes. Thank you Dear Michel Biezen, you are a real professor. I think most of the math professor, they just now how to apply the formulas, but they do not know the logic behind. Without logic, no one will be motivated to learn.
    Keep doing this great job, you are opening my eyes every time I watch one of your videos. I am a big fan of you! I will spread your channel/blog to many other people because they must see this beauty of math and science.

  • @tommcneil8752
    @tommcneil8752 5 років тому +31

    This is another quality maths teacher. There are so many maths teachers who "speed" through a subject and not allowing the student to absorb the abstract concepts. This is very well explained right from the outset.

  • @notb8807
    @notb8807 6 років тому +483

    he explained in 10 minutes what my teacher couldn't do in a week

  • @alperena1675
    @alperena1675 6 років тому +1791

    Who else is here because their Maths teacher is utterly useless

    • @raman9532
      @raman9532 6 років тому +6

      Alperen A me

    • @ajsmith4344
      @ajsmith4344 6 років тому +6

      Me

    • @alperena1675
      @alperena1675 6 років тому +2

      mae mood

    • @lachlanramm8527
      @lachlanramm8527 6 років тому +6

      unfortunately bru

    • @leochiriboga6323
      @leochiriboga6323 6 років тому +33

      My math teacher literally spends half the hour of class talking about his love life so yeah he’s pretty useless.

  • @andycondoy662
    @andycondoy662 6 років тому +48

    This is the best explanation of quadratic equations I have ever seen.

  • @menguindot
    @menguindot 8 років тому +1020

    atleast my left ear is enjoying this

    • @taylordowns3688
      @taylordowns3688 6 років тому +30

      Meng bru I only have the right ear plug fml😂😂😂😂😂

    • @sillyyyluvr
      @sillyyyluvr 6 років тому +15

      In my case its my right ear

    • @rahzekarma
      @rahzekarma 5 років тому +11

      it tickles.

    • @jamesy1955
      @jamesy1955 5 років тому +44

      Thank goodness....I thought my earphones were busted. 🤗🤗

    • @caleb7122
      @caleb7122 4 роки тому +7

      its soooooo annoying

  • @riyavenkatesh9152
    @riyavenkatesh9152 6 років тому +596

    stop reading the comments and pay attention

  • @jonahlewismusic
    @jonahlewismusic 3 роки тому +8

    Mans just explained quadratic functions in 11 minutes, when I've been trying to get the concept for weeks! Thanks Mr. Biezen.

  • @justincantley9441
    @justincantley9441 6 років тому +83

    To find the midpoint or the axis of symmetry you can also use the formula: -b / 2a

    • @marinecsgo6141
      @marinecsgo6141 3 роки тому +1

      Fine Gentlemen You Have Earned Your 41st Like Well and With Honour

    • @MysticArtsStudios144
      @MysticArtsStudios144 3 роки тому

      Cool. Thanks!

    • @mellewisselo8025
      @mellewisselo8025 3 роки тому

      you are a lifesaver and you just made my day

    • @a.s8897
      @a.s8897 2 роки тому

      for the vertex of the parabola:
      (x, f(x))
      (-b/2a, f(-b/2a))

  • @Umar-zf7we
    @Umar-zf7we 4 роки тому +74

    My maths teacher isn’t exactly useless, it’s just that I failed to pay attention for 5 years and now I’m learning everything in a single year.

    • @shiyuru9943
      @shiyuru9943 3 роки тому +2

      that's my life as well lmao

  • @AntoineDennison
    @AntoineDennison 6 років тому +43

    I have been struggling with this in class, but you really made this easy to understand. Thank you!!!

    • @perryfroze
      @perryfroze 4 роки тому

      Greetings in Jesus name our Lord and saviour, are you interested in hearing about the Gospel of Jesus Christ who is our lord and savior? Originally man lived in pure happiness with God in Paradise but we sinned by disobeying God by eating fruit from the forbidden tree, because of this we were thrown out of Paradise and onto this earth, as we stubbornly found pleasure in eating from the forbidden tree although there were better trees to eat from in the Garden of Eden. God loves us so much that he made a way for us to enter back into paradise by sending his only son Jesus to die for our sins so that he can give us eternal life and save us from death and eternal punishment in Hell. Here is a pray that you and others can say to receive Jesus Christ as your Lord and saviour.
      Father in Heaven I receive your son Jesus as my Lord and saviour, I confess my sins and I ask you to forgive me for all my sins, wash and cleanse me and everything pertaining to me with the blood of your son Jesus and wash away all my spots, blemishes and wrinkles with the blood of your son Jesus. Father God in Heaven fill me with your Holy spirit every moment of my life and give me infinite oil for my spiritual lamps. I forgive and release all those who have done me wrong and I ask you to bless them and write my name permanently in the lambs book of life in Heaven in Jesus name I pray amen.
      Here is another pray to break curses and bind demons in our lives.
      Father God in Heaven I break and loose myself and my family from all curses going all the way back to Adam and Eve and I bind every demon and demonic influence in my life and in my family life permanently in Jesus name. I command all demons in my life and in my family life and those around me to leave and never return in Jesus name. Father God send your legions of Angels to fight for me until the end and send your ministering angels to keep ministering to me and always guide and protect me from all evil, I command Satan to get thee behind me and all of Gods creatures in Jesus name I pray amen.
      Pray always and study the KJV Bible to know more about Jesus and God's plan for our lives. Jesus bless you. Please pass on this message.

  • @davidclement9718
    @davidclement9718 5 років тому +8

    I didn't like mathematics b4,but when I started watching on UA-cam, I've learned a lot and understand very well...

  • @sleepyangel3775
    @sleepyangel3775 5 років тому +12

    Can we just admire those perfectly straight lines he has created for the graph for a quick moment?

  • @tonyde6744
    @tonyde6744 3 роки тому +9

    After all these years still a great explanation!!!

  • @williambunter3311
    @williambunter3311 3 роки тому +2

    Wonderful, wonderful,wonderful! Thank you Sir. Thank you so much. I have subscribed. I am 72, nearly 73, and never learned this when I was at school back in the sixties. I know how to solve quadratic equations using algebra, but I have never before learned to put them in graph form. I am hoping, by God's grace, to go on to calculus eventually. I believe your video is a great starting point. And I find graphs are things of beauty!

    • @MichelvanBiezen
      @MichelvanBiezen  3 роки тому +1

      Hi william. I have the same excitement when I finally understand something that eluded me as a student. I have actually learned a lot from making the videos as well, since going to school and college wasn't as enlightening as I had hoped. We have the full set of algebra, pre-calculus, and trigonomety videos, to get you on the path to calculus. You can find them all from the home page of this channel. Enjoy!

    • @williambunter3311
      @williambunter3311 3 роки тому +1

      @@MichelvanBiezen That makes me really look forward to the coming new year. God bless you with many good blessings.

    • @MichelvanBiezen
      @MichelvanBiezen  3 роки тому +1

      Thank you. God bless you too.

  • @UsuludinArimelala
    @UsuludinArimelala 3 роки тому +4

    "Algebra - Understanding Quadratic Equations"
    best explanation...great teacher

  • @dinusiva3019
    @dinusiva3019 5 років тому +1

    Best teacher I ever seen.....mr.Micheal teaching reminds me my professor mr.ramamurthy....

  • @PsiChi01
    @PsiChi01 6 років тому +3

    I wanted to tell you that this is the best explaination on you tube as far as I am concerned. Thank you.

  • @zolanskiurmom
    @zolanskiurmom 4 роки тому +7

    under quarantine right now my teacher making us watch this and it makes more sense now thank you :)

  • @AmericaLover2025
    @AmericaLover2025 7 років тому +4

    The bow tie led me to this video. And you are one of the few good teachers on youtube.

  • @Chelovyek
    @Chelovyek 2 роки тому +2

    There are many people out there who are brilliant in many subjects but lousy at math. But when it is explained properly, these same people quickly realize that math is not nearly as mystifying as they once thought. Thanks!

  • @nkanwal680
    @nkanwal680 7 років тому +25

    havent consumed so much with one ear in so many years. thank you

    • @MichelvanBiezen
      @MichelvanBiezen  7 років тому +17

      We had no experience on making videos when we first started this channel. So our earliest videos are in mono. Thank goodness we learned how to make videos in stereo soon after.

    • @nkanwal680
      @nkanwal680 7 років тому +6

      I just wanted to appreciate the effort you put in the video. I really admire your work in field of maths.

  • @TriangularKamalAcademy
    @TriangularKamalAcademy 5 років тому +2

    Great Sir

  • @davidromero7823
    @davidromero7823 5 років тому +4

    you're the best teacher , I understood the basics of quadratic equations , thank you so much

  • @nill007
    @nill007 6 років тому +2

    The only video that I actually understood. Thank you for not assuming we all know the smaller steps and taking the time to explain every step clearly!!! Subscribed!

    • @nill007
      @nill007 6 років тому +1

      P.S. I wish I could replace my prof with you!

  • @emeraldflame6194
    @emeraldflame6194 6 років тому +14

    I’m in 7 grade and taking an Algebra 1 course at school. This helped me get an A. THANKS!

    • @notb8807
      @notb8807 6 років тому

      same

    • @Securedmma
      @Securedmma 4 роки тому

      I’m in 3rd grade taking algebra 2

    • @emeraldflame6194
      @emeraldflame6194 4 роки тому +3

      Carlos Mendoza, judging from the voice in your video, you’re not in 3rd grade.

    • @ThaHKBlower
      @ThaHKBlower 4 роки тому

      Carlos Mendoza bullshit

  • @tmpace9
    @tmpace9 8 років тому +139

    Test tomorrow.
    Halp.

    • @drawgeta8647
      @drawgeta8647 6 років тому +7

      Did ya pass

    • @mansellotthegreat645
      @mansellotthegreat645 6 років тому +7

      TackStash779 how’d it go buddy?

    • @sobantahir1011
      @sobantahir1011 6 років тому +22

      You're asking him after 2 years? lmao

    • @traelonin
      @traelonin 6 років тому +21

      Legend says he went on to become Elon Musk...

    • @welost2night445
      @welost2night445 6 років тому +4

      Umm I tooked the regents and failed algebra 1

  • @siri3441
    @siri3441 5 років тому +4

    A perfect, clear explanation of quadratic equations. Thank you very much!

  • @mikedaniels3009
    @mikedaniels3009 4 роки тому +1

    Congrats, Sir. You are one, if not THE SOLE teacher here to actually represent equations graphically .

  • @drakew1094
    @drakew1094 3 роки тому +4

    I cannot believe he just explained what I’ve been confused on for a month. I have a test tomorrow and I was convinced I was going to fail. I think I will get a passing grade thanks to you. Thank you so much.

    • @MichelvanBiezen
      @MichelvanBiezen  3 роки тому +1

      You can do it!

    • @mehulighosh7181
      @mehulighosh7181 2 роки тому

      OMG I'm stuck with the same problem 😅... Maths exam tomorrow n I'm clearing my concept on graphs today...

  • @nyashakavhiza8524
    @nyashakavhiza8524 7 років тому +1

    Sir you are a Legend. Explaining all that concisely in 11.5 minutes, that's magnificent. So grateful.

  • @carnivalwrestler
    @carnivalwrestler 7 років тому +4

    Very nice explanation. This is what everyone should watch before starting to do quadratic equations. Thank you for posting.

  • @LG-vu8zt
    @LG-vu8zt 3 роки тому +2

    Thank you so much man. Congrats on teaching me more in 11 minutes than my teachers in two weeks.
    Much love

  • @debabrate69
    @debabrate69 7 років тому +7

    wow this guy explained everything so beautiful

  • @ottosparky
    @ottosparky 5 років тому +2

    A thorough explanation of key concepts and points (unintentional pun). Well done.

  • @ishanzuaim5579
    @ishanzuaim5579 7 років тому +8

    THANK you so much, this helped me a lot...ill ace the test because of you :D

  • @darkphoenix23
    @darkphoenix23 Рік тому +1

    Holy Moly, I have covid right now and my math class is doing this and this helped me so much, I subscribed :)

    • @MichelvanBiezen
      @MichelvanBiezen  Рік тому +2

      Hope you get better soon! Glad you found our videos! 🙂

  • @LaureanoLuna
    @LaureanoLuna 5 років тому +2

    8:47 It is literally true that 'sometimes' the parabola crosses the y-axis; in fact, it does so in all cases. Otherwise, the function would be defined only for positive or only for negative numbers, which is not possible if its form is y = ax^2 + bx + c.

  • @Chabda_Ngaojei
    @Chabda_Ngaojei 5 років тому

    Thanks so much SIR

  • @general_prodigy
    @general_prodigy 6 років тому +3

    Whoa. Been trying to find a video telling how to do this stuff but couldn't find any. Thanks sir. I can finally get 💯% in my test

  • @craigruchman7007
    @craigruchman7007 6 років тому +1

    Stellar explanations, simple yet complete

  • @aidanazure1005
    @aidanazure1005 2 роки тому +3

    I have a great math teacher but, I can't pay attention so I just use this for help. Thanks much!

  • @jeffreyhu9007
    @jeffreyhu9007 4 роки тому +2

    Bro this dude actually makes this understandable. Thank you.

  • @elmoreglidingclub3030
    @elmoreglidingclub3030 5 років тому +3

    Excellent!! Very clearly explained; much appreciated.

  • @danp4938
    @danp4938 Рік тому +1

    Thanks for this video. I’ve been struggling all semester and you went at a comfortable pace and named everything involved.

  • @jesuisravi
    @jesuisravi 7 років тому +19

    I wish I had seen this 20 years ago...well, better late than never.

  • @mrmrsporterbuiltinparadise568
    @mrmrsporterbuiltinparadise568 7 років тому +1

    Beautiful job explaining the subject in a manner that makes sense!

  • @kawazaki23
    @kawazaki23 8 років тому +30

    This has helped me i am currently following A level Mathematics and this has helped me alot thank you so much michel van biezen for uploading this video i am going to try study mechanics from here since i am also following mechanics course wishe me luck i wanna succeed on maths and mechanics

    • @sampitts7044
      @sampitts7044 5 років тому

      You are going to need much math in mechanics it's all math and good luck

  • @honeybee2145
    @honeybee2145 5 років тому

    The basics of Quadratic equation was thoroughly explained in this video clip. He is one of the best teachers on earth.

  • @chocolate_liberty2835
    @chocolate_liberty2835 6 років тому +3

    This video is amazing. I love how you explain. Thank you!!

  • @paulbailey1215
    @paulbailey1215 4 роки тому +1

    Thank you, an excellent video. All the other video I found on the topic only wanted to show how to solve the equation, rather than what the equation and subsequent values actually meant.

  • @tessasuhr7379
    @tessasuhr7379 6 років тому +2

    This is actually really useful. Thank you so much.

  • @cocoxoxoxo7881
    @cocoxoxoxo7881 7 років тому +2

    Sir u are amazing! You explained everything in great detail! You are a God sent!

  • @Chapali9a
    @Chapali9a 9 років тому +6

    This is just amazing! Thank you very much indded.

  • @issolomissolom3589
    @issolomissolom3589 7 років тому +2

    Sir
    You are a great professor and a great teacher

  • @christinenguyen2040
    @christinenguyen2040 5 років тому +2

    thank you for explaining this easily and simply!

  • @angelesmena622
    @angelesmena622 7 років тому +1

    The best video I had found for really understanding. I was trying to memorize this by hard, but now I won´t forget it. Thanks!

  • @njoliprint4084
    @njoliprint4084 5 років тому +6

    I WISH I HAD FOUND THIS VIDEO EARLY, I COULD HAVE SMASH MY MATH TEST. IT'S SO HELPFUL

  • @caseylovato4625
    @caseylovato4625 4 роки тому +2

    Very detailed explanation, thank you. You went over details I was needing explained from other videos.

  • @bladeog4285
    @bladeog4285 7 років тому +7

    Thank you. My teacher was supposed to teach us this weeks ago and semester exams are coming up. So I had to learn this on my own, and this video helped a lot.

  • @mickdrummer5965
    @mickdrummer5965 2 роки тому +2

    Excellent- very clear explanation!

  • @rayhannahashemi4517
    @rayhannahashemi4517 5 років тому +3

    Thank you so much, really helpful! I'm trying to study GCSE maths higher by myself.

  • @MOHNAKHAN
    @MOHNAKHAN 3 роки тому +1

    Your explanations are always *The Greatest* ...

  • @ayamazloom4173
    @ayamazloom4173 7 років тому +5

    Thank you sir,It was helpful 😊

  • @alfredovizcarracoa444
    @alfredovizcarracoa444 4 роки тому

    Es el mejor profesor de matemáticas que he visto en youtube. Es un verdadero maestro la forma como explica de manera muy didáctica...

  • @thosewatermelonjugs3035
    @thosewatermelonjugs3035 7 років тому +3

    Very clear explanations, I understood it very well. Thank You ^-^

  • @callumwells
    @callumwells 6 років тому +2

    You made this incredibly simple to understand - thank you!!

  • @ankurkaushik2074
    @ankurkaushik2074 3 роки тому +3

    Good evening Sir,

  • @cakelegion3359
    @cakelegion3359 4 роки тому +2

    I would like to thank you very much, I kept forgetting how to do these, but this will surely help me remember the quadratic equations!

  • @alanbrown3078
    @alanbrown3078 6 років тому +9

    Came for the Math stayed for the Bow tie!

  • @russellminard2578
    @russellminard2578 7 років тому +1

    finally someone that can teach in a way where people can understand

  • @rakesanand1
    @rakesanand1 8 років тому +3

    well explained...thank you

  • @Imjustaguy69420
    @Imjustaguy69420 9 місяців тому +1

    11 years ago and still so useful
    Im glad i found you

    • @MichelvanBiezen
      @MichelvanBiezen  9 місяців тому +1

      We are glad you found our videos as well. Welcome to the channel.

    • @Imjustaguy69420
      @Imjustaguy69420 9 місяців тому +1

      @@MichelvanBiezen thank you

  • @Ghost-kh2kj
    @Ghost-kh2kj 6 років тому +3

    Thank you very much it is really helpful for me

  • @arturoguerrerolopez9229
    @arturoguerrerolopez9229 2 роки тому +1

    You really are a huge utter professor, really I'm really thankful for have met your channel, we need more professors like you

  • @johnetzel-mcleod6972
    @johnetzel-mcleod6972 4 роки тому +5

    people with only right ear buds in their ear: "what in tar nation is going on here"

  • @naomianderson4861
    @naomianderson4861 8 місяців тому +1

    I've been struggling to understand this topic for months now but thanks to this video I've been able to understand within some minutes. Thank you Sir

    • @MichelvanBiezen
      @MichelvanBiezen  8 місяців тому +1

      You are welcome. Glad you found our videos.

  • @yourdemandisthere1966
    @yourdemandisthere1966 6 років тому +3

    prefect teacher well study guys

  • @beaniebeh
    @beaniebeh 2 роки тому +1

    You taught me more than my teacher could in less than 12 minutes! Amazing! Thank you so much!

  • @elliottandreasen4148
    @elliottandreasen4148 4 роки тому +4

    My left ear feels educated.

  • @minerva4540
    @minerva4540 7 років тому +2

    You my man saved my maths GCSE

  • @kyrenkhairah4248
    @kyrenkhairah4248 7 років тому +3

    Thank you very much for making this video sir.

  • @chandanmurmu6297
    @chandanmurmu6297 4 роки тому +1

    Thank you sir, you taught really good.

  • @ProfeJulianMacias
    @ProfeJulianMacias Рік тому +1

    Great Mr. I like your class

  • @аделинадуйшеналиева-ъ8ч

    thank you very much, it was relly helpfull

  • @abdelljones6233
    @abdelljones6233 3 роки тому

    This man is a legend the functions thing was absurd to me but this man explained everything and answered all my questions

  • @shivamtandon8247
    @shivamtandon8247 7 років тому +3

    But won’t this take a lot of time in the exam to do we have to do so many equations

  • @murdock5537
    @murdock5537 2 роки тому +1

    Excellent explanation - step by step! Very helpful! Many thanks!

  • @meeeeeeeeeeeee882
    @meeeeeeeeeeeee882 7 років тому +3

    Thanks a lot :) you helped me a lot in physics but i struggle in math ( kind of oxymoronic i know)

    • @thomasbarber7739
      @thomasbarber7739 6 років тому

      Paradoxical; or, counter-intuitive; not oxymoronic.

  • @bmoney1720
    @bmoney1720 7 років тому +2

    Thank you so much!!! I cannot describe my gratitude for uploading this vid. My math teacher is terribly confusing and I sit there staring at him like an idiot. You made it very clear and easy. Thanks again.. xoxo

  • @james7110
    @james7110 5 років тому +5

    My teacher had the nerve to rage when I asked a question

  • @ankurkaushik2074
    @ankurkaushik2074 3 роки тому +2

    Thanks Sir,

  • @johnpuri4317
    @johnpuri4317 8 років тому +5

    Sir, would you please solve this?
    (1+x)^(1/3) + (1-x)^(1/3) = 2^(1/3)
    I know just by looking the answer is x = +- 1
    but how to solve in process way?

    • @MichelvanBiezen
      @MichelvanBiezen  8 років тому +4

      Cube both sides and use the binomial expansion. It is messy, but doable.

  • @KarishmaAbbi
    @KarishmaAbbi 3 місяці тому

    One of the best and easy to understand explanation. Thank you, Sir!!

  • @mikeydaone
    @mikeydaone 6 років тому +3

    if it doesnt cross the x axis what does x = to?

    • @MichelvanBiezen
      @MichelvanBiezen  6 років тому +2

      If the graph doesn't cross the x-axis, then there are no real roots, just imaginary roots and x will be equal to an imaginary number.