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Imaginary Numbers - Basic Introduction
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- čas přidán 2. 07. 2020
- This precalculus video tutorial provides a basic introduction into imaginary numbers. it explains how to simplify imaginary numbers as well as adding, subtracting, multiplying and dividing imaginary numbers.
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Thank you so much bro!
MR. Organic Chemistry Tutor, thank you for a basic introduction to Imaginary Numbers. Imaginary numbers exist everywhere in math, science and engineering.
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Details on how 🤔
@@taffayadunkley7948 he literally helps wym
i understand nothing
This dude is the reason why I got 1580/1600 in SAT
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Know what to expect. ...
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@@aarush581 thanks..
you from india bro?
you teach me all the things my math teacher fails to explain. thank you.
Thanks sir, you just summarised my whole text book chapters on Complex numbers 💯
This is exactly what I was looking for. Thank you!!
You're the goat, you're saving so much time by cutting the fluff I experience in class and teaching in a straight forward way. Now I'm skipping more class and just watching you to learn how to do my homework and for review for tests. Saving a lot of time and stress.
7:03 For the (4-3i)(4+3i) you can use the formula a^2-b^2 = (a + b)(a - b) so it would be 16-9i^2 just like your answer. This is just a faster way to do it. Hope this helps!
Nice! Useful information for the basics
I subscribed your channel
Man you are good at this
Greeting
I appreciate that all of theses tutorial videos on youtube show people how the forumla works, but nobody tries to explain what an imaginary number is.
Thank you so much!! I was really nervous for school because I didn’t learn this unit but this really helped me catch up. Imma rewatch it like 50 times….
I have just encountered complex numbers for the first time while calculating the magnitude of frequency transfer in an RC filter in a college class. Had no idea what a complex number even is, but now I understand what is going on. Thanks a lot!
did you not go to highschool? genuine question
@@moznalutaibi3080 My highschool couldn't manage to teach us this because of COVID. We were really behind in math.
I’m trying to learn imaginary numbers on my own, and this really helpful thank u
I CANNOT STRESS HOW MUCH THIS HELPED ME. THANK YOU SO MUCH! I OWE PASSING MY MATHS EXAM TO YOU.
How have I not followed you since ... Thanks very much for a well explained video on complex numbers . You broke it down well ❤
Thanks alot. Greetings from Tanzania
Plz watch this video and give some advice plz
i feel like im learning basic maths all over again
this deserves more views
You are the reason why I enjoy math again
idk about lord but you are my savior. thank you so much Im in alg2 honors and i was doing REALLY bad (CD range) but then you made it all understandable and now I've a B- which will hopefully go up to an A like before. THANK U
@Roshan Rajesh My average is now a B, but I got a 30/30 on my last test thanks to this guy
My algebra 1 teacher won't teach us this until algebra 2. I'm glad I could learn this on my own :)
I think I speak for everyone when I say u deserve a nobel peace prize or something
thanks for making this video in math class i had trouble but now i am good
Greetings from Nigeria 🇳🇬 🙏
Thank you so much sir
Your mode of teaching is the best I’ve known yet 🙏
This would really help me in my semester exams 🙇♀️ ❤
Greetings from China!
Your explanation is really good
Thankk you, it is very beneficial.
Thank you sir!!!! When will the next part be uploaded?
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I was studying for the GED last year now I’m in computer science program all thanks to this gentlemen right here
is all the test of GED is hard big bro is it all about reasoning
@@sanopann1896 nope GED isn't hard. There's a high chance you will pass the GED's math section if you have completed 8th grade maths section on Khan Academy.
Thank you for Sudan 🇸🇩 I like all your vid dude
BYE THIS IS LITERALLY SO COMPLICATED 😭
Thanks!
We want people like this
Dude, now I'm studying engineering. Guess I'll be stuck with your vids forever 👍
I like the name. Wowaka?
this guy is the goat
i always go to u when i need help in math
terimakasih bang, sangat membantu memahami FISMAT IB
really great !
7:58 do we just have the copy the denominator (25) and insert it to standard form (a + bi) to make it into standard form?
It's so cool✌️👍
Also can please do videos about quantitative analysis course ?? Like decision making .. forecasting methods and etc ....
Assalamualaikum
Oh thank GOD you exist
He is God
I have a doubt, at 2:42 if I write, i^33 as (i^3)^11 it becomes (-1)^11 which is (-1) , is something wrong with my calculation or do we have to try to bring a positive outcome if possible?
Thank you
can someone pls help me?? i have a problem on a test and it just says solve 7+3i i’m in ninth grade and i missed a few days so i don’t understand it. could anyone tell me how to solve it and what it means. it just shows a graph.
The legend
I love you bro
11:10 Shouldn't x be equal to plus or minus 6j? Since not denoted, we can say that -6 is also solution
Thank you sir
May you please solve for this question 14/i (complex number)
What are imaginary numbers used for?
thanks gang
God bless you
When reducing i^x power can’t you just mod 4 and count?
I love you ♥️
I want to know what is the board that he write on it
محمد مقدم جاسم يمعودددددددد
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girl im-
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Hey ya 1st..
Thanks for the basics...
Can you plz make videos on advance problems related to this topic
You are breaking my brain but I like it
I am 14
U teach at mmy whole school from Year1 to 5
in 11:18 how come that there is two solution 6i any body help me
U will go to heaven ❤❤
I’m confused, I thought that i is the square root of -1, if so why did he just write i in his example of i^33 instead of the square root of -1?
because square root of -1 equals 'error' on a calculator as it is (I)imaginary so it's the only case you use i really ig, I was also confused by it for a few secs
I am still confused
Not bro just casually explaining imaginary numbers in 14 min while it took my teachers 5~7 hours
I am no closer to understanding any kind of complex mathematics
i am not failing my final exams. thanks
bookmark: 3:15
Hello, why is i^7's final answer -i? Isnt it the same as i^3?
i^7=i^4 multiplied by i^3, which yes is the same as i^3 times 1, or i^3. i^3 is -i, since it is -1 times i.
the hyundai i20 should be "hyundai 1" and i30 should be "-1"
5:14 how did he get -i and -6?
-2i x 3i = -6i²
i² = -1 so it is (-6)(-1) which = +6
then the middle terms were 15i and -16i so he combined them and got -i
@@gutdupois2809 thank you🙏
3:13
loveeeeeeeeeeee
goat
why is -2i * 3i = -6i^2 and not -6i
wait, I think it's because -2i * 3i = (-2 * 3) (i * i) = -6i^2, am I getting this right?
@@JRSNT.02 yes
I'm just tryna understand hollow purple 💀😭
No idea
#QuadraticEquation #trinomial #binomial #polynomial
. I have no idea what any of this means
why are you saying i but you keep writing c? just call it c
i am in geometry
Hey, you…. Student…. Yea you. You’re right. You’re never going to use this in your life.
Signed - A 40 year old
why are you here then lol
- a 40 years old who never loved math
Lol
I feel ripped off. I was waiting for the Pi to the I. Lol
Do you mean e^pi(i)? Thats -1.
why is bro writing the i like a bracket
dawg what
x^(2) + 36 = 0
x^(2) = -36
x = sqrt (-36)
x = error
x=6i
b^(2) - 4ac = -144
sqrt (-144) = error
sqrt (-1) = error
man really picked up the nearest calculator and called it a day
sqrt (-1) = invalid input
All of this assumes that multiplication is commutative and i = i.
These are not true for most areas or things called "imaginary." Why should they be true of imaginary numbers?
I guess you want us to get used to the idea that "imaginary" numbers aren't very imaginary, they're really pretty stick-in-the-mud.
{sigh} I guess that's necessary for them to be so useful.
I don't understand😭
a = 1
b = 0
c = 36
Why 4? You are not teaching. You're just showing that you know it already.
Slow
Jesus loves you all
This doesn't make sense
x^(2) + 36 = 0
x^(2) + 0x + 36 = 0
x = (0 + sqrt (-144)) ÷ 2
x = sqrt (-144) ÷ 2
x = error