Completing the Square - Best Explanation

  Рет қаралды 303,684

BetterThanYourProf

BetterThanYourProf

11 жыл бұрын

Explains how to solve quadratic equations by completing the square (also called the square root method).

Пікірлер: 277
@DPR_JIN
@DPR_JIN 6 жыл бұрын
Deffinetly better than ur prof , straight to the point . It feels like a private lesson 😂😂😂
@tajamulsir9620
@tajamulsir9620 6 жыл бұрын
i have also explained this method in more easily .. watch on my youtube channel .. Tajamul Sir ..
@BobBob-uv9fq
@BobBob-uv9fq 2 жыл бұрын
I’ve just had a private lesson ,and still can’t do it
@krampus8362
@krampus8362 6 жыл бұрын
Happy to see a teacher that can actually teach. Most teachers on youtube, or even at schools, do not know how to explain to students.
@mikefule330
@mikefule330 5 жыл бұрын
Excellent explanation. What makes it so clear is that you "factor" the modified expression to show exactly why the 25 is in there. Most people don't include that part in the explanation. Understanding how and why is so much better than trying to memorise a series of stages that make no sense without context. Thank you.
@Dorddis
@Dorddis 6 жыл бұрын
why is this 480p vid lookin lik a 1080p one?
@laughinglaughing1416
@laughinglaughing1416 6 жыл бұрын
yup it looks like one
@boomerangcowboy5801
@boomerangcowboy5801 5 жыл бұрын
Shhhs dont complain,YT might screw us over if the find out
@smedleybelkin19
@smedleybelkin19 5 жыл бұрын
Simple colour palette, nothing to blur.
@stuartbowman_
@stuartbowman_ 5 жыл бұрын
Haha I actually filmed this on my super old Droid RAZR. I really don't get it either :D
@Acw279
@Acw279 6 жыл бұрын
OH MY GOD THANK YOU. All the other videos didn’t make any sense. Bless your soul. Your username is true.
@mohadigaano3474
@mohadigaano3474 4 жыл бұрын
Hey
@monikapatel8143
@monikapatel8143 3 жыл бұрын
100% agreed thx so much BetterThanYourProf
@isabelfowlkes708
@isabelfowlkes708 6 жыл бұрын
Thank you so much!! I looked at like 5 different videos and none of them made any sense to me until this one!! All of the others just beat around the bush and did some weird method that took like ten minutes. I wished I could give 20 thumbs ups. You've got a new subscriber!
@shreyabasu6199
@shreyabasu6199 5 жыл бұрын
You actually are better than all the professors I've had combined.
@mayahamandi4754
@mayahamandi4754 5 жыл бұрын
THANK YOU! This helped me so much with studying for a test. No other video explained it like this and i was completely clueless. You explained it so well and made it so much easier to understand!!
@fatimaalamien8786
@fatimaalamien8786 6 жыл бұрын
U r actually better than my prof😂😂
@Smarion2
@Smarion2 5 жыл бұрын
LOL
@mixed-math8216
@mixed-math8216 2 жыл бұрын
Dude, you are literally a legend! tysm for the clear explanation, the best I could find on YT so far!
@spiderslogan2617
@spiderslogan2617 3 жыл бұрын
You breaking it down is beautiful, thanks for the help. You're an angel! you didn't leave anything out and you answered ALL my questions thoroughly. sorry I'm 8 years late lol
@larrywiener6327
@larrywiener6327 Жыл бұрын
Great explanation! One thing I would add at the end. 32 is 16 * 2. Therefore, after the plus and minus we can put four times the square root of 2. That would be in a more simplified form.
@JG-ld6cf
@JG-ld6cf 6 жыл бұрын
Thank you so much! I've watched so many videos and this was the only one that made sense! Thank yooooooou
@evie5375
@evie5375 3 жыл бұрын
dude, thank you SO much! i was having a hard time with this and this totally helped! bonus points for also actually explaining how and why it works the way it does!
@PJade
@PJade 4 жыл бұрын
That is the best explanation of completing the square I've heard. Bless you sir!
@andrewmiguelvirtudazo1953
@andrewmiguelvirtudazo1953 4 жыл бұрын
OMGGGG THANK YOU IVE BEEN STUCK WITH THIS FOR 9HRS BUT NOW I UNDERSTAND GOD BLESS YOU I WAS ABOUT TO CHECK YOUR OTHER VIDEOS BUT YOU ONLY HAVE *VIDS WE NEED MORE PEOPLE LIKE YOUUUUUUU AAAA THANKASSASAS
@gcebilevilakati1322
@gcebilevilakati1322 6 жыл бұрын
This video had all the steps explained carefully and well. It has really really helped me. THANK YOU !
@e.k_desaint
@e.k_desaint 6 жыл бұрын
Oooh so good!!!! Even at my higher level of study I still had issues but these video has helped me So far I'm now good!!
@avischiffmann6220
@avischiffmann6220 4 жыл бұрын
watched so many videos, this is the one that made me finally get it so thank you!
@Aditya-hk4je
@Aditya-hk4je 4 жыл бұрын
Bruh this guy is a genius he deserves more subs
@derro8314
@derro8314 6 жыл бұрын
There’s five methods actually... Isolation Quad formula Diamond Complete the square Grouping
@benisman
@benisman 4 жыл бұрын
6. Giving up
@ayushkishor3207
@ayushkishor3207 4 жыл бұрын
@@benisman underrated comment
@Surfing566
@Surfing566 4 жыл бұрын
@@ayushkishor3207 for real
@dotzonzab5132
@dotzonzab5132 3 жыл бұрын
I just want 3 it's too much for me
@derro8314
@derro8314 3 жыл бұрын
Summer class Gaming WOAH TWO YEARS AGO LOL quadratics are easy as you get higher and higher in math
@PRADEEPKUMAR-bw6qf
@PRADEEPKUMAR-bw6qf Жыл бұрын
Seeing this video after 10 years but then also a life saver and by following the rules of algebra, this equates this video to a legend #THANKS BRO#
@fatimaalamien8786
@fatimaalamien8786 6 жыл бұрын
BEST EXPLANATION EVER♥️
@jakesnell7707
@jakesnell7707 Жыл бұрын
Dude the way you teach is fantastic… you really give thought to what some people may or may not know! Thank you so much!
@stuartbowman_
@stuartbowman_ Жыл бұрын
Thanks! Back when I made these videos I was tutoring math every day so I had lots of practice
@ChocoMilk.o_o
@ChocoMilk.o_o Жыл бұрын
@@stuartbowman_ Oh my gosh, I had thought you left, your tutoring level is so much better then anyone I find on youtube and they try to make it look cool with graphics but you doing it on paper really makes it feel like authentic maths! I wish you would come back
@angelgracedorde6189
@angelgracedorde6189 6 жыл бұрын
i love it. i like how you explain things so gentle for us to understand better thankyou
@jeimizuki4938
@jeimizuki4938 6 жыл бұрын
could you do a video about rational functions, equations, and inequalities i'm having a hard time dealing with complicated problems but you're videos always helps out. thank you very much :)
@fauziamahmood4522
@fauziamahmood4522 6 жыл бұрын
BRO, thank you! you saved me from getting a 1 hour detention! you definitely better than my prof thaaaaaaaaaaaaaaannnnnnkkk yoooooooooooouuuuuuuuuuu
@edwardfknight
@edwardfknight 2 жыл бұрын
Best explanation on KZfaq. I remember being confused on this when I was in 10th grade.
@stuartbowman_
@stuartbowman_ 11 жыл бұрын
You're welcome! Glad it made sense
@dankrecordz7954
@dankrecordz7954 6 жыл бұрын
This was Extremely helpful! thanks a ton!
@Randomalistic
@Randomalistic 6 жыл бұрын
Thank you!! Got straight to the point and was very informative :)
@user-yj8ek2ox7s
@user-yj8ek2ox7s Жыл бұрын
Thanks for making the concept clear! You're a great teacher..
@tylerhubley2450
@tylerhubley2450 6 жыл бұрын
Amazing job man you did a great job and helped me a lot
@KuhDeeee
@KuhDeeee 5 жыл бұрын
Great vid man, really helped me out can you do more?
@martinohare1936
@martinohare1936 6 жыл бұрын
This is the most rationale explanation I have seen. Moreover, the narrative can be said to be measured, natural and straight to the point. Impressive way of reassuring learners whilst going through the steps in a clear and humble manner. In short, the video is about the subject and not about 'creating a personality or show' to pseudo entertain. Love this method of calm step by step explanation.Could there be a similar video, but of the type where the x squared term has a leading co-efficient?
@stuartbowman_
@stuartbowman_ 6 жыл бұрын
Great to hear, thanks man. No I don't have any videos specifically about that, but you can always divide both sides of the equation by whatever the leading coefficient is to eliminate it. If you proceed from there with the same method, it won't be pretty but it'll work. Cheers
@sarameeks4493
@sarameeks4493 3 жыл бұрын
THANK YOU. Geezus. I'm a grown adult taking a business math class, and I'd forgotten how to factor that out. After two days of watching videos and reading books, this finally clicked for me. Thank you thank you thank you.
@chocolateangel8743
@chocolateangel8743 3 жыл бұрын
Completing The Square really makes sense when you see it done with the area model. It because obvious why the middle term is divided in 2 and squared. A Quadratic is a square, geometrically-speaking. The reason you divide the middle term in 2 is because each side lengths have to be the same. You square it because you are literally adding a missing square units (length X width) to the larger square to make it whole. One thing I've learned about math is the more you understand (concepts and mathematical logic), the less you have to memorize. Math is just the language of numbers. Good luck in school.
@aya-lt7ll
@aya-lt7ll 2 жыл бұрын
this video is 9 years old, wow i hope this person is doing well in life and im wishing them the best
@stuartbowman_
@stuartbowman_ 2 жыл бұрын
I'm good :) So glad these videos are still useful to people
@aya-lt7ll
@aya-lt7ll 2 жыл бұрын
@@stuartbowman_ OHMYGOD,,, you replied! glad to hear that! and yes this was very helpful, thank you so much!
@stuartbowman_
@stuartbowman_ 11 жыл бұрын
Glad I could help
@user-in9of6os2c
@user-in9of6os2c 3 жыл бұрын
I just have one thing to ask why did you cancel the -7?
@user-in9of6os2c
@user-in9of6os2c 3 жыл бұрын
And like would that happen in like any question with completing the square
@cheechierocks
@cheechierocks 3 жыл бұрын
@@user-in9of6os2c ... yes... you have to move the end coefficient to the other side in order to make a perfect square on one side... but also note you have to add the new coefficient to both sides in order for the equation to balance. As you can see, he’s not done anything that unbalances the equation. Eg, he hasn’t added to one side, that he hasn’t done for the other... I hope that helps. The formula he gave is ‘B (middle coefficient of x) divided by 2 and squared’. So, half of 10 and squared = 25... then add 25 to both sides. Also remember, X is one side of the equation and Y is the other... on your graph, you have X axis, positive & negative, and Y axis, positive and negative.... thus a squared graph, and why the expression is completing the square. After you’ve solved the quadratic equation, for X & Y, you can then plot or plug in the numbers onto your graph... it looks hard, but when you know how and why it’s used, it’s actually a work of genius.
@randombrilliance5921
@randombrilliance5921 3 жыл бұрын
Thanks, You saved my life. Got yourself a new sub
@abdulrazaqyahaya01
@abdulrazaqyahaya01 5 жыл бұрын
Your lecture is quite intelligible, I'm very glad, thank you
@naheeroine
@naheeroine 4 жыл бұрын
Awesome Explanation!!! Thank you so much 🙏
@Eric_412
@Eric_412 4 жыл бұрын
They say a topic isn’t fully understand until the person can teach it, yep, this guy understands it, makes it look oh so simple 🙀🙀😳😩, is a really good video..
@hetvikhetia4354
@hetvikhetia4354 5 жыл бұрын
This is very helpful and easy to understand.
@TaggingTechnician
@TaggingTechnician 6 жыл бұрын
Well done, clear process and clear easy to follow notes.
@Azami0001
@Azami0001 5 жыл бұрын
You have no idea how much I love you
@JackKnife2730
@JackKnife2730 6 жыл бұрын
your S's sound like a blow off valve, good video clears all of the confusion i had up.
@ChetanKania
@ChetanKania 3 жыл бұрын
what happens when your "B" value doesn't give a good number when dividing by 2? For example, what if the B value is 15 or 9 or 33?
@simoncolligan3944
@simoncolligan3944 4 жыл бұрын
Thanks - very useful -- normally that '25' that you put in is put in as a fraction over 2, then brackets which are squared ... exactly the same thing, but o much more confusing when you don't really realise what's happening to/with that extra equation - this made it crystal clear :)
@samstan4462
@samstan4462 4 жыл бұрын
My mind just got a workout! Well explained.
@mbongeninkosi3852
@mbongeninkosi3852 6 жыл бұрын
Im south africa and ive just subscribed and pressed d alert button. U d best man. Better dan those plastic professors LOL
@Sirishaw-vu5se
@Sirishaw-vu5se 3 жыл бұрын
i literally watched 40 videos prolly but this one is the only one i understood by watching it ONCE
@isnansunuyuntaro2974
@isnansunuyuntaro2974 6 жыл бұрын
The best explanation so far
@seikopatton4782
@seikopatton4782 4 жыл бұрын
THANK YOU SO MUCH. Your video was the only one that made any sense at all. You put Khan Academy to shame! ;) God bless you!!
@aminaali857
@aminaali857 5 жыл бұрын
Your video really helped me I appreciate it thanks 🙏
@GWAIHIRKV
@GWAIHIRKV 4 жыл бұрын
That is the best explanation I have seen. Thanks.
@zakmurray8097
@zakmurray8097 6 жыл бұрын
Best Video Ever! tyyyy
@billendy7425
@billendy7425 4 жыл бұрын
I know this is a relatively old video, nonetheless, I found it very helpful and was finally able to connect some concepts. Thank you.
@floridianmapping5822
@floridianmapping5822 2 жыл бұрын
heh
@JuanRodriguez-fe1ss
@JuanRodriguez-fe1ss 6 жыл бұрын
Thanks for sharing your knowledge.
@bsn1-1antoniokarlabrahamxe30
@bsn1-1antoniokarlabrahamxe30 5 жыл бұрын
u are definitely surely amazingly better than my prof hat on you
@lianedweinpinto3867
@lianedweinpinto3867 5 жыл бұрын
What if the linear term is negative when we are going to found the square root of it.Can I square root it even it's negative?
@yaseenalaraimi1919
@yaseenalaraimi1919 2 жыл бұрын
I'm so slow at learning this kind of stuff but when I saw this I got it straight away
@jolietess4126
@jolietess4126 4 жыл бұрын
finding this video is the highlight of my quarantine
@jamesclarkcorales6794
@jamesclarkcorales6794 6 жыл бұрын
OH Thank you BetterThanYourProf :) It help my homework :)
@conohanfamily
@conohanfamily 2 жыл бұрын
Check out Mind Your Decision's explanation of quadratics using geometry. It visually shows "completing the square" making it concrete why you take half of b and square it. Really neat way to see it. This was still very good. Putting the two together is helpful.
@Smarion2
@Smarion2 5 жыл бұрын
Thank you SO much. I am studying for my CSET and this is the only one that breaks it down the way that makes sense. I couldn't figure out what the point was in using Completing the Square when we can factor or use the Quadratic Equation. Other channels say "If a is equal to 1, add b/2 squared and it completely threw me off. But, what if a is not equal to 1?
@jamilashekh3509
@jamilashekh3509 4 жыл бұрын
Then you divide all the numbers by the a FOR example 2x² + 10x = 0 You do 2x²/2 + 10x/2 = 0
@sandiknits4174
@sandiknits4174 3 жыл бұрын
This really IS the best explanation!!
@X3ZozxX
@X3ZozxX 11 жыл бұрын
Thank you so much, its realllllllly helpful. thank you
@salemsolomon57
@salemsolomon57 5 жыл бұрын
Literally the best explanation
@shalomumayanga3410
@shalomumayanga3410 5 жыл бұрын
You are the best mathermatics teacher
@tomdryan
@tomdryan 6 жыл бұрын
Thank you for taking the time to explain each step (even the "dumb" ones). Other videos we watched on this subject glossed over the "obvious" steps, making them impossible to follow (giving me flashbacks to some of the really bad math teachers I've had). My son was able to complete his math homework, thanks to you!
@alessandromatrone3134
@alessandromatrone3134 6 жыл бұрын
Best Explanation for real!
@ryanhendrymusic
@ryanhendrymusic 6 жыл бұрын
Title is accurate. Thumbs up
@mostafaehab7302
@mostafaehab7302 5 жыл бұрын
Best explanation ever♥️
@uroosamalik6188
@uroosamalik6188 6 жыл бұрын
very helpful, thank you.
@hyunjunewon5629
@hyunjunewon5629 4 жыл бұрын
Why does 1/2 of the coefficient of x suddenly come into the equation? What role does it play in it?
@garrettstephens6101
@garrettstephens6101 3 жыл бұрын
Bro ur literally the best
@Krazycutiegurlxxx
@Krazycutiegurlxxx 8 жыл бұрын
My gods. I was so confounded as to why we were doing all that stuff to b in ax^2+bx+c=0. I don't know how i didn't recognize the perfect square before! Why do so many math courses insist on just telling you how to get the right answer without explaining how it works or what the underlying concept is?! It makes so much sense now. I'm ashamed for not realizing it all right away. I wish i could give this video more than one thumbs up. My gods...
@Krazycutiegurlxxx
@Krazycutiegurlxxx 7 жыл бұрын
twistedblktrekie I've been homeschooling myself alone with books and online resources for over a year now. The internet and myself are the best teachers i've ever had. Math teachers would practically never explain anything. I went to a public school in a ghetto too, so, that also probably didn't help. I can hardly wait until i start calculus. I never imagined that i would actually love mathematics.
@Krazycutiegurlxxx
@Krazycutiegurlxxx 7 жыл бұрын
twistedblktrekie I learn in a similar way, but for me, if it doesn't make sense to me conceptually, i'll have more trouble recalling it, and i'll get frustrated, so, i usually don't move on until i understand the concept adequately at the very least (by my own judgement i suppose, but hey). Luckily, the concepts often aren't difficult for me to understand at all, but i'm only on algebra 2 right now. I desperately want to be a physicist. I don't know if i can, or if i can even get into a good university due to my past and the circumstances my past has put me in. But it's what i want anyway. I'm 19, so i'm already very behind too.
@Krazycutiegurlxxx
@Krazycutiegurlxxx 7 жыл бұрын
twistedblktrekie My mom is a nurse; knowing what i know, i would never ever get into medical. Physics is my dream. It has been since 1st grade. I'm just not giving up because there isn't much else i want out of life aside from that anyway, aside from my dogs and some video games. Money doesn't matter much to me as long as i have those 3 things and sustenance, basically.
@Krazycutiegurlxxx
@Krazycutiegurlxxx 7 жыл бұрын
twistedblktrekie Honestly, i only took half a course in quantum mechanics before i decided to stop and go learn the math first. But, that half a course changed the world in my eyes, and i feel like it's something i'd like to put my life into. I loved physics since first grade; i just didn't know it before about a year and a half ago. There are a lot of good physics courses online, and a lot of good books if you're interested. I personally would recommend the Feynman lectures firstly. Wish me luck... I'll probably have a hard time getting into a good university, but, i suppose i'm too dense to give up.
@Krazycutiegurlxxx
@Krazycutiegurlxxx 7 жыл бұрын
twistedblktrekie It depends. There are jobs in universities, in companies, and for the government. The university jobs are the best; and the most difficult to attain. I do not want to work for the government, but company jobs can vary greatly. I want to be able to do actual research though. I really need to get into a top school, at least for grad school. People who go to just any old university for a physics major seem to always end up in a cubicle farm doing work that their heart isn't in.
@pewpewwepwep9296
@pewpewwepwep9296 6 жыл бұрын
Actually better than my prof😂😂
@piusdebankz1317
@piusdebankz1317 5 жыл бұрын
if the coefficient of x is -10, will you still add +25 to both sides or will you will you apply -25 instead. i am refering to an equation that looks like this x^2-10x-7=0 ??? Thank you
@XshortS33
@XshortS33 4 жыл бұрын
Love the way you teach❤❤❤❤
@maritescadiz8141
@maritescadiz8141 3 жыл бұрын
It make sense thanks for sharing your ideas.
@Lauren-fx6hn
@Lauren-fx6hn 6 жыл бұрын
So helpful thank you so much
@vivekplays3234
@vivekplays3234 5 жыл бұрын
Thank You!
@mikefule330
@mikefule330 5 жыл бұрын
"I can't think of any factors of 7..." It's a prime number!
@zeyadular
@zeyadular 3 жыл бұрын
@Matthew Bair Yeah, that' a Prime number.
@richtaylor6039
@richtaylor6039 4 жыл бұрын
Great explanation. Thanks! :-)
@stephaniesolivio8722
@stephaniesolivio8722 6 жыл бұрын
I have a question what if the middle is -2x ande the hal f of it is 1. 1 has no square root???plsss answer it
@safaa5294
@safaa5294 5 жыл бұрын
this was very helpful ^.^
@ottoomen5076
@ottoomen5076 5 жыл бұрын
Someone else needs a math channel called "In plane english"
@curtlumbo5640
@curtlumbo5640 5 жыл бұрын
better than our math teacher
@stfu3425
@stfu3425 3 жыл бұрын
hello, thank you very much, this really helped me, I really appreciate your work .:))
@tony9622
@tony9622 5 жыл бұрын
what if you had an equation where you have to divide by a negative like -4b=64
@RKbeat-id6ef
@RKbeat-id6ef 6 жыл бұрын
Do you have other videos sir?
@laurenxd0
@laurenxd0 4 жыл бұрын
THANK YOU SO MUCH I WATCHED SO MANY VIDEOS THAG DIDNT MAKE SENSE
@matblacc6418
@matblacc6418 3 жыл бұрын
Thank you im in 8th grade and learning algebra my teacher doesn't explain it like you do.
@iankingon
@iankingon 5 жыл бұрын
you sir, are a GOD
@eranocampos8783
@eranocampos8783 3 жыл бұрын
Im from the Philippines Good explanation bro
@emmanueltailor6305
@emmanueltailor6305 3 жыл бұрын
Your explaining very cleanse..
@c6mbo
@c6mbo Жыл бұрын
amazing tutorial
@heystobit9194
@heystobit9194 5 жыл бұрын
YOU ARE AMAZING
@zoyathabassum5714
@zoyathabassum5714 5 жыл бұрын
oml tysm mahn ly
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