Solving quadratic equations by square roots | Algebra II | Khan Academy

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Solving Quadratic Equations by Square Roots

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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!

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I’ve never been so confused in my life

ashiyaprowell
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Thank you so much I was peeing during my math online class when the teacher discussed this ;-;

ducktape
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I learn nothing from my teacher. I learn faster from an 11 minute video than a 52 minute lesson

thmanrailfans
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Hi Mr. Khan, thank you very much for doing this for the millions of people out there watching your videos. I'm taking Algebra I and this is helping a ton! I always move towards your videos when I am about to learn something or don't understand a new concept. God bless you, again I truly thank you very much. Keep up the amazing videos! ^_^

Chaosflyex
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Me at the end of the video not understanding any of it: wut
Him: Well, that was a good warm up

cyodissnips
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Really poor example to use the square root method.

OffTheBeatenPath_
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@5:13 for those of you who got lost, because he didn't explain what he was doing. He substituted one of his solutions for the x in the original solution, because he had solved for x. Since he solved for x, he can substitute what he solved for instead of using x. X=solution to be replaced with in substitution.

The answer to the solution is to find what = 0. Well, 0=0, so you have to prove that. In order to prove it, you need to get get rid of that unknown variable that needs to be solved for. In this case, it's x that is the unknown. So what do we do in algebra? Find X! After we know what x is, we can solve the original problem by replacing that x (unknown) with what we solved x to be (now known). Now we can solve the original problem. The original problem is 0=0 and you have to solve for that. The square root part in this video isn't to solve the problem (0=0). The whole square rooting part is to solve for x (X=?). Then use the answer for what x is to solve the original problem.

If you still don't understand.... Yikes! Go watch some pre-algebra videos.

-smp-scientificmethodpersp
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my brain has so much smoke coming out of it 😐

heyitsjaee
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You are awsome! You have helped me so much whenever I have a test!

VanNintendo
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Thank you so much for this great lesson. I was searching so hard for this kind of extracting square root, then I found this video. THANK YOU SO MUCH😇

teachmechannel
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If only my teacher could be as good and clear in Algebra as Mr. Kahn. Thanks for the little clarification!!!

jlklai
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Imagine this, but explained MORE complicated than it should be. Thats my teacher y'all

debo
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It's been 11 yrs but generations still use it till now

nightowl
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Sir please make a video how to factroise. √3x² + 10x - 8√3 = 0

anshugupta
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THIS HELPED SOOOO IM IN 7TH GRADE AND AM TAKING ALGEBRA 1, BUT I PROBABLY WOULD NOT HAVE PASSED PRE- ALGEBRA WITHOUT THIS YOU RULE MR. KHAN

sarahskup
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helping me pass my final exam tomorrow, THANK YOU

dollyspine
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Thank you so much, because it was just not clicking with me at all....God bless you!!!!

Tenshar
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im from philippines Thank u sm
I might Ace the math exam tommorow thanks to u😂

airasagmon
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Thanks! Helped me alot, the last two equations are not taught to my class yet so i might get a head start from this! Thanks again!

Mark-jhmt
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Thanks a lot! This really saved my a$$ :)

bananiaman