Identifying an ellipse from equation | Conic sections | Algebra II | Khan Academy
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- เผยแพร่เมื่อ 28 ก.ย. 2024
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Part 1 of identifying and graphic conic sections
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To be honest, very few people need to know about conic sections for their day-to-day life. They are really useful if you're studying planetary motion or trying to send a probe to jupiter. They are also interesting in and of themselves.
If I were in charge of the school system, I would cover statistics in more depth instead of conic sections. Much more useful.
i see well a very nice thought indeed
@khanacademy
In that case you must hurry up and become in charge of the school system!
thanks for the videos!
thank you for teaching me what my teacher cant
Thanks. I figured out exactly what I was doing wrong when I went over it one more time. I was only introduced to conics for a short end of the year section, but it did take some focus.
I have an analysis final tomorrow. Needless to say, thanks so much.
This is very useful to me. Thank you.
YOU ARE AMAZING! mash'allah
good video for memory refresher for completing the square
MY BRAIN IS GOING TO EXPLODE!!! I'll stick with polynomials for now, thanks.
Good for programing ellipses circles, parabolas, and hyperbolas. But then again,I'm shure that all modern programing programs already have those integrated in a easy method.
Saved my life
only if i liked math... and wasn't forced to watch your videos
I agree. Statistics is it. Doing Math for doing math is good for brain training. And a trained brain can be useful.
So - more statistic videos, Sal.
awesome vid
woot thank you man
so that equation is for ellipse because it has different coefficient. right?
To simpify the equation into its standard form
good good
this is great but I have such a hard time with the steps of the equations. :/
a cretionist would argue that order can't come from chaos but you'veproved them wrong lol!
8:33 heyy, you cheater
Identifying Khanics 1
How did you know it was an ellipse and not a circle?! I have an equation like: (x+4)^2 + (y-1)^2 = 2, and I still don't understand how to identify it as an ellipse or a circle.
@baseballkid077 I was just at the store looking for some win but they were sold out.... now i know who got all of it....
what about the parabolas,ellipses,hyperbolas that have a straight line as its axes...not the x or y axes
Thank u so much!!
at 6:40 why do you have to find what makes the value 0? 0 + 0 = 0 not 1.
Yes, because all you're trying to do is convert it to standard form ;)
Alhamdullilah, this helped me a a lot!
Nice Khan!, Do you do LSAT logic?
you and Stephan Colbert saved my life
but why do we need the factors?
Look at it's eccentricity...
@baseballkid077 Winning XD
For motivation: examples for uses in day to day life for all these conic things. At least mentioned.
@khanacademy definitely agree
:( Math makes me sad.
Yeah I know how you feel, I've missed out a whole years worth of extension maths and now I have to catch up... conics being one of the topics :p
I'm surprised that the person (mr Khan?) didn't introduce the focci in the introduction video... because thats what I needed help undertstanding =D
What happens when the coefficients in front of both (x-x1)^2 and (y-y1)^2 are different and the number those two are set equal to doesn't exactly make everything dandy if you try to make that number 1 by dividing both sides by the number?
thank you, my math teacher just babbles and she gets her self confused most of the time, then i lose focus. basically your a lot better than my math teacher
Very Nice!!
Nice
Nice
Nice
hi
Being we're looking for the factors when you complete the square... (where each thing in brackets equal zero)
From an engineering student from Canada, thank you for everything. You're an inspiration and an incredible asset. :)
Thank you so much! I have a Math test tomorrow and you just saved my life! And my 4.0 GPA. :)
Goodness! When you're timed on your studying TH-cam studying makes it go by much faster!!
you are amazing! i passed Algebra 2 because of your teaching! Thank you so much!
Who here is watching this just before an exam?
Just to convert the equation to standard form
thanks sal, completely forgot how to do this...
ahhh lol omg you make everything just click!
i love you
O.O Everything is different now
Great videos!! Thanks Sal
#YouCanLearnAnything
what software did you use to graph that ellipse at the end.. that was not done manually.......
You can do it with paint, if you want to. Just use the shape Oval.
Why couldn't this be a circle if you stopped at 6:00?
Because 9 isn't the same as 4. They don't have the same coefficients.
Why did he add 4 and 81 at the end
Plz say me as soon as possible
He added a 4 and 81 at the end in order to balance the equation. To create a squared binomial, you must first create a trinomial that can be factored into two identical binomials.What he did was add the c term to complete the trinomial for both trinomials. Because he added those two third terms on one side, he had to do add them on the other side so as to balance out the equation. However, in the beginning, notice that in order to create a perfect square trinomial, you must have a leading co-efficient of 1, and so he factored out the leading coefficient of both pre-perfect-square-trinomials. It is still attached to the perfect square trinomial.Understanding this (and after you've completed your perfect square trinomials for both x and y), you have to multiply your two new third terms by the original numbers you factored out and add them to the other side of the equation (other side of the equal sign) to balance them out. After doing that, you've balanced the equation, and can continue shaping the equation into its respective standard equation form (ellipse). Sal continued to divide one side of the equation by its own number to create a one as is seen in the ellipse equation, and in order to balance it out, he also divided the other side of the equation with the same number.(I responded as quickly as I could. Your welcome ;D)
+Michael Works thanks
KHAN FOR PRESIDENT