I literally love you right now. Hyperbolas have been an issue for me and now that I am tutoring in math this is amazingly helpful. Now I can actually help people. You're an excellent teacher.
after doing nothing but being too cool for school, i find myself at uni at 37 years of age. needless to say i've never done ANY serious math. you're saving my life!
Thank You SOOO much Mr. Khan your videos are simple and easy to understand. I'm home schooled and you are literally my math and science teacher ^__^ . Keep up the good work!
Another way to memorize the formula is to always make sure u get the form (x^2/a^2) - (y^2/b^2) = 1 (or -1), this by multiplying with -1 on both sides if u have a negative x and positive y. So you know if the equation equals 1, the graph opens up to the sides, and if it equals -1, it opens up, up and down. piece a cake.
Is there not a video on into to parabola? I really like what you have done with these videos. I'm in my first year at university doing physics and find them very helpful.
I have a few questions, 1. How come when you multiply both sides by -bx, you get b^2/a^2 x^2 2. What does b^2/a^2 x^2 mean? 3. And finally, you can square a negative number, -3^2=9, so why can't you do that with a or b? It would just be be x^2=-a^2 or -b^2, solve for a or b, square it, and then find the square root of that number, right?
What is "b"? well, "a" is the distance between center and the vertices, "c" is the distance between center and foci. But how do we visualize the distance of "b"?
Yeah, BEDMAS. Brackets come first and therefore the sqrt(9-4) calculates to sqrt(5). If you don't want that, then you'll need to seperate sqrt(9) and sqrt(4) like so; sqrt(9) - sqrt(4).
thanks for spotting that. I added an annotation to clear that up.
annotation are long gone
Still annotation is goin for 11 years??
Good video. Just reiterating this as some others have mentioned: correction at 10:35,
x^2 = a^2 is
x = ± a
thank you
"Khanic equations"
Ha Khanics
lmao
😂
wow, this comment is 10 years old
He explains it all, just listen to it again.
Just noticed that in the last part about the asymptote. You put
x^2= a^2
x=+- sqrt a
I think it should be x=+- a or x=+- sqrt a^2
Yup
yes i wanted to ask about that too
Oh man, i thought i was confused before, now i really have no idea what you're talking about.
I literally love you right now. Hyperbolas have been an issue for me and now that I am tutoring in math this is amazingly helpful. Now I can actually help people. You're an excellent teacher.
after doing nothing but being too cool for school, i find myself at uni at 37 years of age. needless to say i've never done ANY serious math. you're saving my life!
Thank You SOOO much Mr. Khan your videos are simple and easy to understand. I'm home schooled and you are literally my math and science teacher ^__^ . Keep up the good work!
Math makes me cry, but Sal helps to dry the tears
Asymptotally helpful!
Dude you’re my favorite person now
Thanks man, this really helps.
Another way to memorize the formula is to always make sure u get the form (x^2/a^2) - (y^2/b^2) = 1 (or -1), this by multiplying with -1 on both sides if u have a negative x and positive y. So you know if the equation equals 1, the graph opens up to the sides, and if it equals -1, it opens up, up and down. piece a cake.
i love you
drink every time he says "squared"
Your so cool. My Preliminary exam is tommorow and guess what? I don't even need to touch my books for revision!!!
=) thank you!
around 6:30 i was beginning to have an epiphany. my mind was like "oh sh*t, i know where this is going!"
It is good Idea to reprove it urself, it is the best quote of the video
thank you so much sal!
Is there not a video on into to parabola? I really like what you have done with these videos. I'm in my first year at university doing physics and find them very helpful.
Sal, what program do you use to create these videos ?
@ristdave Yah. I noticed that too. I watched that part about six times. I'm glad someone else had a well-written response.
You teach math very good. Every teacher should teach the basics not the formula to memorise...
thanks for these excelent video sir.
Amazing as always
Thanks a lot !!!
Thanks alot wonderful videos.
Great video, thanks. only a small correction on 10:30 x²=a² => x=+-a not x=+-sqrt(a).
I do believe you have just kept me from failing my Algebra 2 test tomorrow. Thank you, good sir!
Did u pass the test?
@@ammarsiddiqui4329after 12 years 😂😂
@@hodralamesa5672 😂😂😂😂 I just had to know if he/she did it
I know this videos are the only reason why I haven't Failed my class! #mathishardbutthankstokhanacamdemyicandoit lol
I have a few questions,
1. How come when you multiply both sides by -bx, you get b^2/a^2 x^2
2. What does b^2/a^2 x^2 mean?
3. And finally, you can square a negative number, -3^2=9, so why can't you do that with a or b? It would just be be x^2=-a^2 or -b^2, solve for a or b, square it, and then find the square root of that number, right?
The square roots of negative numbers do not practically exist but they are assumed as imaginary numbers. Eg. Square root of -1 is iorta
Karan Bains The square roots don't exist, but the squares do. I.E. -3^2=9
I love you ;_; thanks!!!! you are a really wonderful teacher :)
What is "b"? well, "a" is the distance between center and the vertices, "c" is the distance between center and foci. But how do we visualize the distance of "b"?
Nice overview. This compliment is not hyperbole. It's hyperbola!
Thanks sal!
Thankyou 🥺
Every time you say hyperbola, I think it’s hyperbole, then I remember a hyperbole is the exaggeration in language arts
edging the asymptote, shout out to mr C
oh, how i love conic sections!
do the asymptotes always have to intersect at the origin?
At 10:33 it will be x = +- a and not x = +- sqrt(a)
Sir,
At 10:27, you made a mistake.
x^2=a^2
x = + - a
one of the equations wrong at 2:35?
I LOVE YOU MAN !
are hyperbolas the same as reciprocal functions
pls do parabola
🤔🤔🤔 If x and y both = 0, then
x^2/a^2 + y^2/b^2 is not equal to 1.
Then the formula proofs to be wrong.
What if a^2 and b^2 are equal in hyperbola. What could be its eccentricty? :) and what it is called?
The eccentricity of a hyperbola if a and b are equal is √ 2. So basically its value is 1.414 making it greater than 1 and it is still a hyperbola.
I was so immersed that I tried scrolling up to see the previous notes he had written, and then I realized that I was watching a video.
What just happend
Something crazy
yeah it should be y sqrd over a sqrd - x sqrd over b sqrd = 1
2:46 Aren't they hyperbolas?
Please show the work. I just got lost
s manifold - Google Search
finite state automaton | Geometry and the imagination
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how much do you know!
i dont understand..... are the two backfacing parabolas called hyperbola ???
+Shubham Dhanda NO !
You got one of the equations wrong at 2:35! Add a annotation cause it will confuse people like me!:)
7:20 - sounds like auto tune lol - "what the two aaAAsymptotes are"
Yeah, BEDMAS. Brackets come first and therefore the sqrt(9-4) calculates to sqrt(5). If you don't want that, then you'll need to seperate sqrt(9) and sqrt(4) like so;
sqrt(9) - sqrt(4).
i have nust entry test on 9 jan 2018 and someone told me conic section is very important
Bhai 10 days baad Mera bhi hai Aapka admission hua?
But if x is equal to 1 we'd still be left with a negative number
im six years old now and i can do algebra?
2:48 rip using 2× speed
What are u doing with hyperbola plz learn how to tell squre hpppppppp
if math is your thing you should look up the tree of life (kabbalah)
Anyone know why there is a "100% PROOF THAT GOD EXISTS - MUST SEE..." video in the suggestions?
reminds me of highschool. but stop using the same chart. its durty.
i love your videoo,, but i still hate math ahah :)
ms paint
hi ferreres pips xD
nice opinion you got there, too bad you are wrong
:(
don't be sad my friend
Literally the worst description possible. Seems like someone took calculus and forgot how to teach college algebra material.
Way too confusing and unorganized
This is not confusing.This is not for one who just watch video lmao.