Why don't they teach this at school? It seems that the definition of education in high school is to throw you a bunch of equations to remember without knowing the how? or why? they work.
No because the the square root applies to the entire term (x-h)^2 + (y-k)^2. To put it this way, if you were to square both sides, it would not be (x-h)^4 + (y-k)^4 = r^4, rather you'd have to use the foil method on ((x-h)^2 + (y-k)^2)((x-h)^2 + (y-k)^2), In the same way, the square root of x^2+2x+1 would not be x+(2x)^1/2+1, but instead it'd be x+1.
3^2 + 4^2 = 5^2 If I could square root everything at once, as you've said, then 3 + 4 = 5 Which isn't true. I like to think of it this way - operations like the exponent 2 apply to single terms. Terms are separated by addition or subtraction. This means that if two things are being added or subtracted, they're different terms, and I need to be careful when solving things like that.
Everything on your side of the equation has to come under the one action, just like the other side has to, too. You can't have parts of your side going off and being rooted separately, then come back and add themselves together after being rooted separately. You all have to be rooted at once, as a whole, just like the other side of the equation has to, too.
finally i understand how circle equation com e from, you do me a very big favor thank u!!!
OMG THANK YOU SO MUCH!!! I have been struggling with my homework for hours until this video!!! Thank you!
Just Amazing; just shows how Interrelated Mathematics is!!
Thanks Sal
This is great as usually it is hand waved away
Fantastic explanation! Thank you so much Sal!
You changed ur voice at the ending. Very helpful.
u a geniusssss
Thank you Sal! It helped a lot.
thank you khan academy guy!!!
u really smart
So clear well done
Mind blowing --___--
I just smiled.... Thanks sal
we da best
Lucky kids of the future. there is really no reason to not be top of the class, if you wanted to.
THE16THPHANTOM if everyone can be top of the class and they all wanted to, then no one is top of the class
@@workout9594 We are all kings
Ok boomer
u smart
Thank you so much you have made my life T~T
Yes
Nice....
goated
All I can think about is how the example looks like a Smash Bros. logo.
I was about to point that out. We're probably the only ones here to notice. Good job, mate. T.T
Truly afraid I was gonna be the only one, hahaha
radiohead4everrrrr Math is everywhere, whether you like it - OR NOT!!! Hehe.
Screw you I am gonna be in a test and that is going to be the first thing I think about
Super Math Bros Ultimate!
EVERY PROBLEM IS HERE
u important
so when doing it in the pythegoream the base of the triangle is always x?
DenBhuiyan 🎉😢😢😮😮😅😊😊
😂d😢r😮n😅
DenBhuiyan 😢😢😮😅😅😊😮😅😅😅😅😅😅😊
u loyal
I can't seem to find this video on khanacademy.org, I think it's been taken down for some reason
holy shit thank you so much
Great but it will be even better if you solve some IMO problems !!!
That's more a psychological and social issue rather than a maths issue,
Or is that Goths? I always get them mixed up.
same
whats the name of the programm?
DenBhuiyan 😂🎉😢😮😅😅😊
I can't really see that much
sight?
Why don't they teach this at school? It seems that the definition of education in high school is to throw you a bunch of equations to remember without knowing the how? or why? they work.
How did you get the answer? I still don't understand :(
So basically he used the pythagorean theorom
Who's here from Ms.Pointer?
why isn't (x-h)^2 + (y-k)^2 = r^2 the same as (x-h) + (y-k) = r ? Surely if you square root both sides, the new equation is the same?
No because the the square root applies to the entire term (x-h)^2 + (y-k)^2. To put it this way, if you were to square both sides, it would not be (x-h)^4 + (y-k)^4 = r^4, rather you'd have to use the foil method on ((x-h)^2 + (y-k)^2)((x-h)^2 + (y-k)^2), In the same way, the square root of x^2+2x+1 would not be x+(2x)^1/2+1, but instead it'd be x+1.
3^2 + 4^2 = 5^2
If I could square root everything at once, as you've said, then
3 + 4 = 5
Which isn't true. I like to think of it this way - operations like the exponent 2 apply to single terms. Terms are separated by addition or subtraction. This means that if two things are being added or subtracted, they're different terms, and I need to be careful when solving things like that.
Everything on your side of the equation has to come under the one action, just like the other side has to, too.
You can't have parts of your side going off and being rooted separately, then come back and add themselves together after being rooted separately. You all have to be rooted at once, as a whole, just like the other side of the equation has to, too.
do you know what square root is?
Lol sorry
u really smart
Yes
Yes