Solving quadratic equations by completing the square | Algebra II | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacademy.org/math/alge...
Solving Quadratic Equations by Completing the Square
Practice this lesson yourself on KhanAcademy.org right now:
www.khanacademy.org/math/alge...
Watch the next lesson: www.khanacademy.org/math/alge...
Missed the previous lesson?
www.khanacademy.org/math/alge...
Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything.
For free. For everyone. Forever. #YouCanLearnAnything
Subscribe to Khan Academy’s Algebra II channel:
/ channel
Subscribe to Khan Academy: kzread.info_...
Пікірлер: 358
Why can't we just listen to these guys videos in Math Class? In just 14 minutes, he taught me as much as two algebra teachers taught me in (no joke) six hours!
@frederikmarohn6358
9 жыл бұрын
Math Teacher Logic *Gets help on confusing topic* C'MON GUYS WHY DON'T YOU PAY ATTENTION I TAUGHT THIS IT EASY!!! "any questions" says the math teacher. *silence* CMON WHY IS NOBODY ASKING QUESTION THIS IS HARD STUFF
@BlackHatChannel
8 жыл бұрын
+Misha Bjerken I take all my classes normally but I take math online. I can't understand any of my public schools math teachers so it's just a waste of time. I wish online school was how everyone was taught, it honestly saves so much time, because you can go at your pace.
@animationspace8550
3 жыл бұрын
Because then they will be boring because they will be more forced and concentration will be impossible because everyone else is talking over. The teachers are bad teachers, but the class is usually a bad class or at least in my experience.
@victormercier9013
3 жыл бұрын
@@BlackHatChannel really true Sal proves every formula and explains a lot better than all other teachers
@big4headedGangster
3 жыл бұрын
You're 20 now. What's the state. How are you doing. What's going on.
this helped a lot more than my Algebra teacher
@Levelupring
8 жыл бұрын
Same.
Ever since the 9th grade this channel has been getting me through my math subject. Bless this man 😩 thank you so much haha
@amon7816
8 жыл бұрын
If there was only one in biology I wouldn't be in borderline D
@cameronalsop3982
8 жыл бұрын
+Penguin YES This video pretty much saved my sixth grade gpa
@musicandsoul4841
2 жыл бұрын
@@amon7816 Khan Academy also covers Biology concepts as well!!
I'm so glad things like this exist. Having been thrown into a room with someone who's a sorry excuse for a teacher teach you makes this stuff impossible.
Me in 7th grade= This is easy! Me in 9th grade= What is this witchcraft? Me after watching this video= This is easy!
@vishnudarsan5343
4 жыл бұрын
Sup shaurya. This is vishnu from nps yelahanka. If u remember.
@vishnudarsan5343
3 жыл бұрын
@@rain7870 what's creepy??
this man is single-handedly carrying me through sophomore year
@scrimbus
Жыл бұрын
same dude my math teacher like speedruns our lessons 😭
I am in 9th grade and you sir just saved my life.
@NickAventador
8 жыл бұрын
+KhalidHamid50 yo me too
@Levelupring
8 жыл бұрын
Me too. Lol
@antonaviador5095
8 жыл бұрын
saaaaame
@David-kl7to
8 жыл бұрын
I learned this in 7th grade
@Levelupring
8 жыл бұрын
Pixeled Opper Yeah, you don't need to be a punk about it. Go brag somewhere else.
Khan Academy: Helping kids with shitty teachers since 2006
@b1._.x457
4 жыл бұрын
@FredTheBread well then this comment is not for you...
Thank you so much! My Algebra 2 teacher is Romanian and English is literally her fourth language. As you could imagine, she isn't the greatest teacher on the planet. I really appreciate it!
Thanks for picking up on my math teacher's slack. 💗
@shellylynn5571
8 жыл бұрын
Honestly same
@cakeused
7 жыл бұрын
Mikaela Kozechik same
My teacher played a buffering old video in class that no one understood so I went to khan academy like always, teaching me more than my teachers since day 1
@aki8155
7 жыл бұрын
Dan Ab are you physically an advertisement?
@danab337
7 жыл бұрын
Akira Douglas maybe
My brain just turned into a gelatinous pile of mush. Congratulations.
we should have a holiday for you
Can you replace my math teacher please? I finally understand this! It's like I've learned the secrets to the universe! Is this how people who understand and enjoy math feel 24/7?!
10 years life and you sir are still saving 9th graders lives. 😂😂😂
Do people appreciate the genius of this method, and how everything just works out?
@rhiannn3416
7 жыл бұрын
Sal Khan is such a life saver. Literally helps me with everything, history, science and Maths. I have no problems with English.
@mousehead2000
7 жыл бұрын
YT - Rhianna A colon, (:), should have come after 'everything'. You're welcome.
@jimsmith1172
7 жыл бұрын
Nationale Sozialistiche Deutsche Arbeiterpartei *leans into mic* wrong
thank you khan academy!! my girlfriend and i couldn’t cook pizza and we couldn’t complete the square either!! BUT YOU HELPED US SOLVE ONE OF THOSE PROBLEMS :))
I wish we just watched your video during math hour. Much easier to understand
I have ADHD and yet still I've learned more from these guys in this video than I have in algebra class throughout the whole unit on quadratic equations
This man can teach me all these things in 15 mins than my teachers could in a few hours.
Thank you so much for this video, I was having lots of trouble with this process, but now it has cleared my mind!! Thanks again!!👏🏽👌🏽⚡️🔥😇
Thank Khan Academy, what took my teacher 2 hours to explain and to get our class to understand; only took 5 minutes with this video. Now that is an accomplishment.
WHY DA HELL IS MY TEACHER TELLING ME I NEED TO MASTER THIS WHEN I AM IN ALGEBRA 1?!?!.
@modnar246
3 жыл бұрын
because this will be so much useful in calculus
khan academy is one of the best things ive encountered in my life
bless this channel
khan u are tge BEST of all
Crazy that this has been helping people for 15 years
You're good keep it up :D I didn't understand everything at the start but I got it towards the end Thank you very much you superior human being
Thank you sir. This was our second math lesson in 9th grade and you made me understand it more!! Thanks :D
Khan academy has saved me so many times now
Seriously, Sal, I **love** your work! Thank you.
Love it when my math teacher doesn’t teach us how to do this and gives us a test today !!!
Wow! Very well explained! Thanks!
im jn algebra 1 in seventh grade and lemme just say THANK YOU SO MUCH
So glad Khan Academy can step in a help with homework!
Thank you for sharing this video, made me understand the concept better.
youre the besttttttttttttttttttttttt thankssssssssssssss youre my online math teacherrrr.
This helps alot. I have to do this in online school and the slideshow explanation crap they give us just doesn't make sense. Dziękuję, Khan Academy.
You save me. Thank you
The only reason I still like math my teachers are o useless ily Khan academy
After watching sal’s video iam understanding math for the first time ever He’s great!!!!!!!!!!
OMG did u know? all the modules and reference books didnt have this method here. however i thought that completing the square was difficult but i found ur method to be easy. so i used it and wala i got it right! im so happy cuz sincd last year whenever theres a question on completing the square ive been skipping it. thnk u
Omg u just made this topic so easy for me
You're a life saver man!
10:27 And this is the moment when it all made sense. I had the question in my head why divide -3x by 2 if you're trying to make it a perfect square wouldn't you just square it? but no, you did it because now you're able to factor. And when you have (x-3/2)^2, -3/2x + -3/2x adds to get -3 because essentially what you've done is you got rid of the division by multiplying it by 2. But then (-3/2)^2 also multiplies to get you 9/4 which you have added to both sides so the equation is preserved
thank you sal for everything you do. i came across your videos some point in elementary school because we had khan academy and now im in 12th grade! the videos my algebra teacher gave me are horrible so i decided to watch yours instead lol
I just finished algebra 1 and I'm moving on to geometry, my teacher gave us a packet for math to do over the summer and I don't think they ever taught us this.
one of the few of your videos where I come out more confused than how I came in
this is very helpful thank you so much. You're a lifesaver :D
the 2nd one was confusing but I can get this down easily even trigonometry isn't that hard to me, i just need to pass this placement test by next week.
that was pretty helpful, thank you.
Thanks Sal your the best 🙏
thank you very much sir, you are the hope raiser for me to make me believe that I can do math😄😄
THANK YOU MR KHAN. YOUDAMAN!
Where does the +/- come from @4:10? Many thanks
@desireerobinson7916
4 жыл бұрын
Arun Prathapan the number can be either positive or negative because a negative number times by itself is a positive. Eg: -3 squared equals 3 squared, therefore a square root can be a positive or negative
THANK YOU!!!! This helped me study for my test
@helixshark1753
7 жыл бұрын
Btw I got a 100 on that test
@raahi2531
8 ай бұрын
@@helixshark1753 6 years later but congrats on 100 :D
its 2022 n this is still useful
this was a lifesaver and I have a test in 15 min 😭
@saraaAAAGH
3 жыл бұрын
How’d it go
@RandomRakkoon
3 жыл бұрын
Did you pass?
@big4headedGangster
3 жыл бұрын
They passed away
11:18 Wait...WHAT?!? Did you click a button & get the Graphing Calculator?!? I would like to know how you did that please!
nice video u r fairly helpful
thank you so much for this sir
u r actually a hero
DA Boss you are going to help me pass math!!!!!!!!! im trying not to hate it right now
Math test tomorrow on this stuff... I may as well not even show up... Too hard
thanks so much for your help man 😇
I was absent when my teacher taught this ToT it came bk to me during quarantine
Thanks a lot Khan Academy
Youre saving my life
You can also use (b÷2)^2 for the missing number
The seemingly ridiculous fractions (some in 3 figures or more), I find amusing. But it all works out in the end, because it is a perfect square. My professor said to leave them in fractional form, this is the more accurate answer.
I watch other videos and it makes sense, but I feel like I need to watch a Khan academy video multiple times and even then I don't get it. Wondering what the mental block is...
best teacher in my life
the 10x^2 - 30x - 8 = 0 example saved my life
If some of you were confused about why he separated the x-2 and x-2- remember that you have to find two numbers that add to give you b but multiply to give you c.
Hey really help with stuff that I am struggling with
@iconic_pro-gamer5185
7 жыл бұрын
he
thank you soooo much!!
If needing to use khan academy makes you dumb then I’m proud to be dumb
why dont you have ads on your videos??!! you would be making bank! and possibly having this as your carreer!!
@davidoko3592
8 жыл бұрын
lol this is his career, he aims to provide this service for us free of charge, because learning should be free. Search "Khan Academy Ted Talks" on KZread to find out more about him, his organisation and their objectives
@theepiccheeta
7 жыл бұрын
Well i mean it is still free to us even if he did put ads on
better and more polite than my teacher
this man, in 4 minutes, taught me what a private education failed to in 4 years.
explained it waaay better than my 8th grade algebra teacher
Great video. Thanks for sharing
@mikaelakozechik7345
9 жыл бұрын
I'm learning this in algebra 2, but it also came up in my algebra 1 class if that helps you
very helpful
Hello, and thank you in advance if anybody responds. And peace to all. I am taking a union apprenticeship test tomorrow basis of which is basic algebra, and geometry. i.e. linear distance from fraction to decimal and vice versa. Add/Subtraction unlike terms. Factoring Quad equations and solving quad.following a given formula. As far as the geometry its radius, circumference, arc Lengths, parallel lines and transversals. Math was once effortless for me as i see it now in my girls 18,11,6.. Ya i know pray for me.. haha.
2:50 is it 2ax = - 4x or - 2ax = - 4x ?
THANK YOU SO MUCH
I really enjoyed your workout but I have some note on some parts sir from where you're using x² -4x +? = (x - a)² (x-a)² = x² - 2ax + a² So by comparing both sides of the equation, we supposed to have -2ax= -4x (not 2ax = -4x) Therefore a = 2 (not -2) But from the video, you got x = -2 and if you substitute it to the parentheses (x - a)², it will now be [x - (-2)]² which will be (x+2)² Hope you understand sir?
Missed the lesson on this & reading the textbook doesn't help. Thank you (:
khan academy came in clutch
That’s nifty.
This video is AWESOME. What calculator app was that you used at 11:21
This says algebra 2 . So I've been taking algebra 2 things in 8th grade... wow I'm so mad rn
your better than my teacher
Completing the square is too difficult.
4:38 is an alternative faster way to do the problem guys
sal please make a tutorial on how to use your calculator too :P
You've done it Again mr. Khan 🐸
9:02
Thanks!
Y=x^2 +7x-5 can be written in the form (x+a)^2+b. What is the value of a and b???