Complex Numbers (How to find the nth root) : ExamSolutions Maths Video Tutorials

Подписаться 273 тыс.

Просмотров 193 тыс.

50% 1

SIGN UP FOR NOW FOR A 30-DAY FREE TRIAL
www.examsoluti...
PREDICTIVE GRADES PLATFORM IS HERE 🚀
☑️ FREE ExamSolutions AI personal tutor
☑️ Accurate grade predictions
☑️ Personalised resources and tuition
☑️ Guaranteed results or get your money back
ENQUIRIES AT:info@examsolutions.net
Tutorial on finding the nth root when dealing with complex numbers.
RU-vid CHANNEL at / examsolutions
EXAMSOLUTIONS WEBSITE at www.examsoluti... where you will have access to all playlists covering pure maths, statistics and mechanics.
/ examsolutions.net
NEW INSTAGRAM: / examsolutionsguy
TWITTER: / examsolutions and others on complex numbers and de Moivre's theorem
THE BEST THANK YOU: www.examsoluti...

Опубликовано:

3 окт 2024

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист

Посмотреть позже

Комментарии : 69

@kennys3095 11 лет назад

For 1st Quad arg = Theta ------2nd Quad arg = Pi - Theta ------3rd Quad arg = Theta - Pi ------4th Quad arg = -(Theta) We have to consider different arguements for diff quads. In this case our theta was in 3rd quadrant so we used theta - pi which resulted in -5pi/6 .

@saadafm 3 года назад

you beautiful human

@factgirl147 2 года назад

You helped me out.... thank buddy

@viviannesogomo5182 Год назад

thankyouuu

@ebhojayejuliet9728 7 месяцев назад

Thanks so much this write up was more useful than the video

@lwazilubisi3810 5 месяцев назад

Thanks a lot! I've been wondering why he did that cause the Arg was already between -pi & pi at first, Again Thanks!

@ExamSolutions_Maths 11 лет назад

Just start with k=0, then k=1 and so on. You don't really need to do k=-1 etc as k=1, k=2, k=3 etc will start to repeat the roots eventually.

@sakiiimouse 11 лет назад

thank you so much, you've made me actually understand complex numbers, and they're no longer complex to me

@pignbird4007 8 месяцев назад

life saver!

@trkingdavid4943 4 года назад

i like how you interpret question

@jacktaylor2877 2 года назад

how is the angle (5pi / 6) if both terms on complex # are negative? Should it not be in the 3rd quadrant ?

@ExamSolutions_Maths 11 лет назад

For this type, yes.

@ankitsinha4933 10 лет назад

great method of teaching... awsm clearity of complex concepts !!! thnx

@ExamSolutions_Maths 10 лет назад

You're welcome.

@dreamlanddon 7 лет назад

thank you so much teacher... your lecture helped me at exact 1 hour before my calculus exam...

@zanacs7393 4 года назад

@@tuneese2561 rah

@FadiAlHazim Год назад

This is one of the best videos ever! keep the good work and please never stop making those, i feel that am really learning with you!

@sjdjfksl 3 года назад

Is there a range for theta because in exam questions they always add pi if the initial theta value is negative

@ExamSolutions_Maths 11 лет назад

Cool

@Elkycreates 10 лет назад

Brilliant!

@mdjahin99 6 лет назад

Thanks a ton Sir!

@ExamSolutions_Maths 6 лет назад

You are always welcome.

@jacksonferris-choi1739 10 лет назад

in the last line of working where did the power of 1/4 go for the trig part go ?

@siwipenny6870 3 года назад

sorry sir, how to find value of k that we use?

@justaracoonchillinginatoilet69 5 месяцев назад

Rewatching this again for uni

@thantyarzarhein5459 Год назад

8:52 - reason why not k = 3, it 31pi/24 which exceeds pi radient. Which is why it took -1

@mramtakujasambaaguy6681 5 лет назад

good lecture

@RichieVillan 8 лет назад

In my text book they work in polar form, is this method easier?

@franketanhongda7543 11 лет назад

Why do we need to include the 2kπ?

@mohammadalaminsiam711 2 года назад

BEST

@ExamSolutions_Maths 11 лет назад

It should be an integer. Your answers could well be fluky.

@kojolino2401 2 года назад

how did u get the 1over 4 for the n?

@ofmice6577 Год назад

Because we are finding z to the power of 4

@user-le3oy9gd2f 9 месяцев назад

9:45 why does theta have to be less than pi?

@DanielSegripuo 5 месяцев назад

How did you get the -5pi/6

@LindokuhleMazeka 29 дней назад

I want to know too

@mathsgreek 11 лет назад

is it a trick to know with which values of k i must start? thanks really apprieciated ;p

@anuragsuresh5867 5 лет назад

oller bin You definitely won’t find this useful now but for other viewers, I’m pretty sure you start from 0 and go to a k value 1 less than the power of z

@paris293 4 года назад

Anurag Reggie ooo thank you

@AllanLovezGaming 2 года назад

Oller bin how did your exams go?

@brunosilvaneri 8 лет назад

what do you mean by " 31pi/24 exceeds pie radian"? thanks

@RichieVillan 8 лет назад

+Brunin G3 neri Pi radian = 180 degrees. He is just saying that 31/24pi is bigger than 24/24pi. (The angle is bigger than 180 degrees, going anticlockwise from the x axis). As the range of the principle argument is 0 to pi then 31/24pi exceeds the range we want

@VipWeerasooriya 2 года назад

Sir, Can we use seven pi upon six instead of - five pi upon six?

@kojolino2401 2 года назад

i also had 7 pi on 6 and iwas doubting

@michaelechutem995 Год назад

I was wondering too

@Mexicomonster25 10 лет назад

do you have a video for drawing shapes with more than 3 vertices on youtube, I don't know how I would go about it!

@ExamSolutions_Maths 10 лет назад

Sorry, no.

@aashsyed1277 3 года назад

@@ExamSolutions_Maths :(

@adamdesmit776 10 лет назад

Are you god?

@ExamSolutions_Maths 10 лет назад

Hardly!

@rordongamsey3057 3 года назад

@@ExamSolutions_Maths lol I love you so much.

@MrMoeqt 8 лет назад

Is this FP1 or FP2/3??

@ExamSolutions_Maths 8 лет назад

+Moezph. Depends on what board you are doing.

@MrMoeqt 8 лет назад

+ExamSolutions I checked your website, it's edexcel FP2. I'm studying FP1 this year. Great videos sir!

@ExamSolutions_Maths 8 лет назад

+Moezph. Okay - good luck

@zionsinkala9856 3 года назад

how come tan inverse of 8/8.root 3 gives you -5pai/6 in the third quad ,am confused you made a mistake

@ExamSolutions_Maths 3 года назад

Based on the complex number, we landed in the 3rd quadrant. As mentioned in the video, the Arg Z must be between -pi and pi radians, so you need to find the angle from the positive Re axis, to the reference line (red line) by turning in a clockwise direction (giving a negative angle). As we found the acute angle to be pi/6, we got 5pi/6 by doing pi - pi/6.

@fatfrankthepeteacher36 3 года назад

@@ExamSolutions_Maths cool story bro

@booyah7394 3 года назад

So what's the final answer? Sorry if this is a dumb question

@ExamSolutions_Maths 3 года назад

The solutions are the different values of Z when k =-1,0,1,2

@الاستاذمحمدعقيل 11 месяцев назад

How k = -1 ?

@Anyone10M 4 месяца назад

Urdu me

@Anyone10M 4 месяца назад

Speaking urdu

@ebhojayejuliet9728 7 месяцев назад

Your lectures are veey useless sir very hard and u dont 3xplain how you get values you just write them out if we know then we qont be here obviously all the comments is someone confused pls do better