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

Math and Science
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In this lesson, you will learn what the quadratic formula is, how to use it, and why it is important to solve quadratic equations in algebra.
First, we will derive the quadratic formula using the completing the square method. Next, we will solve numerous quadratic equations using the quadratic formula and check the answers.

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1 июл 2019

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Комментарии : 129   
@vuyisekaluphuzi8249
@vuyisekaluphuzi8249 2 года назад
Nobody else on RU-vid teaches the way you do. When I'm failing to undsomething I just come to your channel and you always make me understand
@emmyikande7492
@emmyikande7492 Год назад
very true
@juliel6023
@juliel6023 3 года назад
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!
@jonnukisan9759
@jonnukisan9759 2 года назад
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 года назад
You sir have thought me so much, I’m 35 and studying for my ged. Thank you for your easy to learn videos.
@lauraoergel6003
@lauraoergel6003 Год назад
That is so awesome, Saul!!! You can do this!
@Sc19869
@Sc19869 Год назад
@@lauraoergel6003 thank you. I passed the math test 2 months ago.
@akramshaheen2481
@akramshaheen2481 Год назад
Bro your 35 and studying quadratic formula I'm 14
@ESTAAAAAA
@ESTAAAAAA Год назад
@@akramshaheen2481 what a big boy you are
@YourWrongImRight933
@YourWrongImRight933 Год назад
@@akramshaheen2481 bro you’re 14 studying quadratic formula im in 7th grade
@sadhanghosh7721
@sadhanghosh7721 3 месяца назад
Wow!!, Sir, your intelligence & technic of taught is no doubt claimant of praise. Really, really, really it's adorable. Many, many thanks, Professor.
@zhengzhang3903
@zhengzhang3903 Год назад
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.
@rommelzambrano7799
@rommelzambrano7799 3 года назад
What a great tutor you are, you make that real understandable. Thanks, greetings from Cali, Colombia.
@damon123jones
@damon123jones 3 года назад
i love your style, best teacher on a subject i have always been sble to do but never really understood
@smendetv1105
@smendetv1105 4 года назад
A blow by blow account of the derivation...much better clear as daylight
@MathAndScience
@MathAndScience 4 года назад
Awesome!
@eddyvilla-wz4zd
@eddyvilla-wz4zd 11 месяцев назад
You're one of the best math coches on youtube.
@user-xw3do9lp9x
@user-xw3do9lp9x 4 месяца назад
You are the best teachers at first I don't understand this topic but through your slow explanations I understood ❤
@user-pp6gp6zb2k
@user-pp6gp6zb2k 9 месяцев назад
I always enjoy this style
@cyrusgitonga7984
@cyrusgitonga7984 Год назад
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
@user-yc6rd5pq9e
@user-yc6rd5pq9e Год назад
Wow learning it today hours before my exam thanks a lot 🤗really helped
@user-ed7ko8og2i
@user-ed7ko8og2i 9 месяцев назад
I love your teaching; well analysed.
@zacharycavalear2643
@zacharycavalear2643 3 года назад
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
@littlesunshine0
@littlesunshine0 Год назад
I'm Brazilian and I loved your class!
@MP-yo2fx
@MP-yo2fx 2 года назад
Again you are saving my life!! You are truly the best
@majorynambeye3943
@majorynambeye3943 2 года назад
You are best. You really explain the work very well. Thanks for making me understand how the quadratic formula is derived.
@hollyhowarth3415
@hollyhowarth3415 Год назад
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
@MathAndScience
@MathAndScience Год назад
You're very welcome!
@scottpuk-wq9dq
@scottpuk-wq9dq Год назад
I really love your teaching i understand every thing clearly..thanks so much
@Tramicful
@Tramicful Год назад
Amazing, you are my saviour, great presentation, educational and entertaining!
@carolhill9934
@carolhill9934 29 дней назад
Still watching still learning. You are the best!
@Shoreline4Iron
@Shoreline4Iron 2 года назад
Thank you. I enjoy learning from you.
@jonwill
@jonwill 2 года назад
Excellent presentation; thank you for sharing.
@chigazuibe9943
@chigazuibe9943 Год назад
I love all teachings and also it's very easy to understand
@learnersupdate
@learnersupdate 2 года назад
Nice and detailed, Simple!
@sawdustwoodchips
@sawdustwoodchips 2 месяца назад
Completing the square allows you to find the turning point of the quadratic.
@shawnd.8498
@shawnd.8498 2 года назад
You saved the day for me, sir!
@RahulThakur-ok4zv
@RahulThakur-ok4zv 2 месяца назад
Sir you are the living legend ❤
@rubiegamble898
@rubiegamble898 Год назад
I'm trying to get my GED and I need to learn the Quadrtic Formula.
@jevonjohnson5797
@jevonjohnson5797 3 месяца назад
Man you understand everything.....thanks for sharing been following ur chem and physics also
@elijahbanda7989
@elijahbanda7989 2 года назад
You are the best hoping to see more maths videos 👏👏👏👏 thanks sir I now memorise the method like writing my name
@emmanuelwilson902
@emmanuelwilson902 3 года назад
Good work out,am grateful
@emmyikande7492
@emmyikande7492 Год назад
God bless you sir i have downloaded lots of your videos and i must commend you for a job well done. kudos🥰
@lzyong306
@lzyong306 9 месяцев назад
Best explanation ever
@ursulagwozdz1955
@ursulagwozdz1955 2 года назад
Brilliant!
@clementmichaelc2876
@clementmichaelc2876 3 года назад
This is very helpful
@sallaklamhayyen9876
@sallaklamhayyen9876 3 года назад
perfect thank you
@mmbogo2873
@mmbogo2873 2 дня назад
Talented teacher. Thanks
@mirvetloli1309
@mirvetloli1309 6 месяцев назад
thats was amazing thank you about the intresting lesson
@eenayeah
@eenayeah Год назад
Phenomenal!
@charityliwewe9711
@charityliwewe9711 2 года назад
U've made it easier just like A,B,C,D 👏 👏
@IM-nb8rk
@IM-nb8rk 25 дней назад
Great vid!
@fathoy1
@fathoy1 3 года назад
Thank you so much
@carlos_so_nice9064
@carlos_so_nice9064 2 года назад
This was very helpful
@exotickhanaarif4333
@exotickhanaarif4333 2 года назад
Amazing simply amazing
@likesmusic11
@likesmusic11 2 года назад
This professor is no joke!!!!!! My professor works the problem, but does not go into detail as he does.
@tresajessygeorge210
@tresajessygeorge210 6 месяцев назад
THANK YOU... SIR...!!!
@stanphiri2341
@stanphiri2341 3 года назад
Amazing
@lauren9004
@lauren9004 7 месяцев назад
Thank you!
@guidofeliz8384
@guidofeliz8384 5 лет назад
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.
@farohakhan6767
@farohakhan6767 3 месяца назад
Welldone 🎉
@Tamilore831
@Tamilore831 Месяц назад
Thanks teacher ❤
@user-yn3ev1oy1j
@user-yn3ev1oy1j 11 месяцев назад
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.
@iqrahashi8633
@iqrahashi8633 3 года назад
Thanks
@ritam20071
@ritam20071 Год назад
This method is called Sridharacharaya method discovered in 10th century AD by Indian mathemetician
@hamzatayomide2482
@hamzatayomide2482 Год назад
I would like to see more of this
@robertlawrence2490
@robertlawrence2490 Год назад
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
@vaibhavsingh8361
@vaibhavsingh8361 2 года назад
Quadratic Formula is Known as Sri Dharacharya Fomula Which is Derived from Indian Mathematician
@ebrimagaye-nd1ru
@ebrimagaye-nd1ru Год назад
I like the way you teach
@user-yn3ev1oy1j
@user-yn3ev1oy1j 11 месяцев назад
At 7:58 why do you have to divided by 2 and square root it pleases response I hope you see it
@haykghukasyan6555
@haykghukasyan6555 Год назад
Thanks you very much
@Yesmayo1982
@Yesmayo1982 3 года назад
why is b/ax divided by 2 then squared? WHy not do the same with x squared and -c/a?
@sureshidu3119
@sureshidu3119 Год назад
Very nice 👍👍👍👍
@sandrarr5434
@sandrarr5434 Год назад
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
@carolinemarie44
@carolinemarie44 Год назад
Please tell me about the i. I'm jus learning all this.
@MabvutoMilambo-xe3hk
@MabvutoMilambo-xe3hk Год назад
Nice 👍
@Koreanbosuji
@Koreanbosuji 3 года назад
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 3 года назад
@Jason Gibson
@MathAndScience
@MathAndScience 3 года назад
Thank you so very much! I really appreciate the kind words!
@Koreanbosuji
@Koreanbosuji 3 года назад
@@MathAndScience :-D Anytime - welcome
@RieneReaper
@RieneReaper Год назад
I’m 22. I missed my math test by 5 points. Hands down the best mathematical/science tutor.
@worknehgebeyehu9598
@worknehgebeyehu9598 Год назад
Thank you teacher
@MathAndScience
@MathAndScience Год назад
You are welcome
@jonnukisan9759
@jonnukisan9759 2 года назад
an endless accordion of whiteboards! awesome
@ChavoMysterio
@ChavoMysterio 3 года назад
Here's a fun fact about me: I first learned about the quadratic formula in Geometry.
@theophonchana5025
@theophonchana5025 2 года назад
b^(2) - 4ac = 13
@theophonchana5025
@theophonchana5025 2 года назад
b^(2) - 4ac = -36
@ownagebox
@ownagebox 5 месяцев назад
at my time we only learnd the pq-formula
@theophonchana5025
@theophonchana5025 2 года назад
b^(2) - 4ac = 20
@apoll0626
@apoll0626 Год назад
why do you prime factorise
@johnmaulkin-ur8lm
@johnmaulkin-ur8lm Год назад
Fantastic job but i am confused; at 13.19 mins. b/2a.x + b/2a.x = b/a.2x. Please help. Thank you.
@Ihuoma307
@Ihuoma307 Год назад
Waw nice
@clairgarrick9842
@clairgarrick9842 2 года назад
I always forget how to derive the quadratic formula from completing the square.
@stevenscottoddballz
@stevenscottoddballz 3 года назад
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 2 года назад
You have 2 , 1 or 0 solutions , depending on the value of d^2 -4ac ( called discriminant )
@stevenscottoddballz
@stevenscottoddballz 2 года назад
@@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.
@theophonchana5025
@theophonchana5025 2 года назад
#QuadraticEquation
@theophonchana5025
@theophonchana5025 2 года назад
a = 3 b = 1 c = -1
@nickmasters6239
@nickmasters6239 2 года назад
stop looking at the comments and look a the video
@TheByzmal
@TheByzmal Год назад
(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 Год назад
I did take the square root of the bottom. The answer was 2a.
@TheByzmal
@TheByzmal Год назад
@@MathAndScience I see & know that, I am asking about the top. Why didn't b^2 - 4ac became b - 2ac?
@solomonigba2580
@solomonigba2580 2 года назад
I have some questions here
@theophonchana5025
@theophonchana5025 2 года назад
y^(2) - 4y + 13 = 0 y = (- (-4) + sqrt (-36) ÷ 2 y = (4 + sqrt (-36)) ÷ 2 y = error
@khalilfuller4939
@khalilfuller4939 Год назад
So it will be +/- 6i
@khalilfuller4939
@khalilfuller4939 Год назад
So it will be +/- 6i
@theophonchana5025
@theophonchana5025 2 года назад
sqrt (-36) = error
@khalilfuller4939
@khalilfuller4939 Год назад
i root
@theophonchana5025
@theophonchana5025 2 года назад
a = 1 b = 6 c = 4
@kainacorsiga3590
@kainacorsiga3590 3 года назад
Oh
@Tarzanaxx
@Tarzanaxx 2 года назад
Square root of. 20 IS NOT 5. ERROR IN EXAMPLE.
@Tarzanaxx
@Tarzanaxx 2 года назад
Square toot of 20 is 4.47…
@zbigniewbrzezinski8869
@zbigniewbrzezinski8869 3 года назад
You forgot -1 on the equation ! (First example)
@theophonchana5025
@theophonchana5025 2 года назад
sqrt (-36) = invalid input
@MathAndScience
@MathAndScience 2 года назад
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.
@jessethompson8606
@jessethompson8606 2 года назад
@19:28 oh it is definitely still considered some form of black magic..
@nripeshkumarmishravinayak664
@nripeshkumarmishravinayak664 2 года назад
SRIDHARACHARYA RULE
@kcjones2048
@kcjones2048 2 года назад
this was not a good this shit made me more confused
@eriktredario
@eriktredario Год назад
i feel you hulk
@user-yc6rd5pq9e
@user-yc6rd5pq9e Год назад
Wow learning it today hours before my exam thanks a lot 🤗really helped
@vivicheung4843
@vivicheung4843 2 года назад
Thank you so much
@ikennauche9624
@ikennauche9624 Месяц назад
Thank you so much
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