Complex Numbers - Practice Problems

Рет қаралды 756,600

6 жыл бұрын

This algebra video tutorial provides a multiple choice quiz on complex numbers. It contains plenty of examples and practice problems.
Imaginary Numbers - Basic Intro: kzfaq.info/get/bejne/rLh6pLOgxODHnoU.html
Graphing Complex Numbers:
kzfaq.info/get/bejne/eLBmlZylldjdmIk.html
Absolute Value of Complex Numbers:
kzfaq.info/get/bejne/rdOehMp1mtXVgas.html
Adding & Subtracting Complex Numbers:
kzfaq.info/get/bejne/p7R-i5pqyNSqqYU.html
Multiplying Complex Numbers:
kzfaq.info/get/bejne/g-BzhsJpt-DOkWw.html
Dividing Complex Numbers:
kzfaq.info/get/bejne/e8yChdOHp5yWe6M.html
_____________________________________
Simplifying Complex Numbers:
kzfaq.info/get/bejne/jt-bpsiVqtTYdGg.html
SAT Math - Complex Numbers:
kzfaq.info/get/bejne/hrF_aJZ-lbmpgIU.html
Solving Equations With Complex Numbers:
kzfaq.info/get/bejne/pLiRqq6dnNC0YYE.html
Imaginary Solutions of Polynomials:
kzfaq.info/get/bejne/qriig8mpt5vMXas.html
Complex Numbers - Test Review:
kzfaq.info/get/bejne/r5ing6SL3MC4nps.html
______________________________________
The Discriminant:
kzfaq.info/get/bejne/oZOEd8hhtLaWiI0.html
Complex Numbers In Polar Form:
kzfaq.info/get/bejne/gJyEob2purveoYk.html
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
www.patreon.com/MathScienceTutor/collections

Пікірлер: 230

@TheOrganicChemistryTutor Жыл бұрын

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzfaq.info/get/bejne/hbeqZNyVp8m1g3U.html

@Goldenrose137 7 ай бұрын

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@georgesadler7830 2 жыл бұрын

MR. Organic Chemistry Tutor, these are solid practice problems using Complex Numbers. I hope that students in precalculus are enjoying these great math videos.

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@LogicBrother 2 жыл бұрын

Love these practice problems a bunch!

@viktorchan6422 2 жыл бұрын

Amazing. This video is easy to understand.Thank You.

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Hey thanks for all these videos, without you i couldn't pass math! THANKS! I have also a request, can you please make a video with complex numbers with the e function ? I don't this kind of video.

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Helpful. Thank u

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@darkphantom_01 11 ай бұрын

Same at CSE

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@Abiye-justiceTreasure-vg9jl Жыл бұрын

I normally always like ur KZfaq but u were rushing in this one but I still understood.

@XuechengjunZhu Ай бұрын

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@sonnyvandoylebernales1982 4 жыл бұрын

Just a little bit of suggestion sir, try explaining it more detailed and slowly or make some stops for us to absorb and comprehend what u'r saying. But this is indeed helpful. Thanks for the efforts.

@GTA5Player1 Жыл бұрын

I mean, you can always pause.

@user-uj6mj8dj5x Жыл бұрын

The answers of question number five is so complicated you can use only this formula 1)i^2n=iF IT IS even 1 =iF IT IS odd -1 2)i^2n+1=iF IT Is ODD -i =iF IT IS EVEN i

@buwoyeye2718 Жыл бұрын

May God bless you❤️

@ansah412 Жыл бұрын

Hi! For the question 5, where did the 4 and 14 come from? Please help!!

@Education.Dot12 2 жыл бұрын

Awesome

@qadirmurad9304 2 жыл бұрын

Continues 😍

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@sadnanjuhib 7 ай бұрын

Indian ahh comment 💀💀

@eltariquaye6928 2 жыл бұрын

So does i always =-1 all the time?

@ANM644 Жыл бұрын

4:10 where do you get the 4??

@rezervkanal 2 жыл бұрын

Perfect! but I've a question 3:49 why u divide 59 to 4 this is dark for me

@Shosholovee 2 жыл бұрын

same question do you still know?

@VladimirMladenovicOfficial 2 жыл бұрын

@@Shosholovee cause you want to make that exponent to be in form i^4*y + i^z, cause we know i^4 is equal to 1. Example i^2021 is same as if you write i^4*505+i^1 which leads to answer i^2021=i.

@shammaalali3670 2 жыл бұрын

I love you so much

@zubairshaikh9742 9 ай бұрын

Bro when you did the i^59 how did you get 59/4? From where did you get the 4?

@edidiemewesayyes3500 11 ай бұрын

please what is the meaning and background of modulus complex number

@user-rx6hd2gg7q Жыл бұрын

1:50 maybe easer to use abbreviated multiplication formulas?

@UnLikqble Жыл бұрын

what board are you using to write these ?

@keanu7318 2 жыл бұрын

for #5 why did he divide by 4 to begin with. Is that just how you always start a question like that?

@TheJaguar1983 4 ай бұрын

Woo! 10/10!

@lwandleshaun5464 5 ай бұрын

Where did you get the 4?

@zapper354 2 жыл бұрын

On #9 I think I caught a mistake. When you add 16+9 on the denominator I think it should be 16-9 because the addition sign is being carried over by the 12i which got canceled out already. Anyway the different answer I got after catching the mistake was 18/7 +17i/7

@denzelsythan4074 2 жыл бұрын

You are wrong boss check the solutions again

@nevaskomaeda3051 2 жыл бұрын

Old but that doesn't happen. X - X becomes 0, so it's like having 16+0-9i^2. You could use an addition or subtraction sign for the 0 and it wouldn't change a thing. It becomes 16-9i^2 and i^2 becomes -1 and it obviously then turns into 16+9.

@xan6990 Жыл бұрын

@@nevaskomaeda3051 Jesus Christ loves us all. For the Spirit God gave us does not make us timid, but gives us power, love and self-discipline. 2 Timothy 1:7 NIV

@akahebwadarius126 7 ай бұрын

was about to mention that

@edmondraysantos8013 3 жыл бұрын

I have question in number 5 question. Where did you get the 4 to divide it to 59?

@jalynnhawkins7 3 жыл бұрын

that’s exactly what i was wondering. i think it might be a multiple? i really don’t know

@xathirx7386 3 жыл бұрын

Bro he used a calculator

@rosacamelasaguid262 3 жыл бұрын

it's always a multiple of 4.

@TaylorPlays_ 2 жыл бұрын

@@rosacamelasaguid262 what is?

@oriehossain2410 2 жыл бұрын

@@jalynnhawkins7 because if you take i^4, it equals to one. So what he did was make life easier for himself and express the 59 in terms of groups of 4. 1 to the power of any number is always 1. When he divided 59 by 4, you get 14 with a remainder of 3. Meaning that he can (according to index law) express i^59 as (i^4)^14 * i^3. Since i^4 equals to 1 (this is because i^2 is -1 and i^4 can be expressed as i^2 * i^2, which then equals to 1), the equation is 1^14 * i^3. Since 1 to the power of anything is 1, 1^14 is just 1. Therefore the equation simplifies into 1 * i^3. Now, i^3 is just i^2 * i, which is just -i (as this was obtained from -1 * i). The equation then further simplifies into 1 * -i which is just -i, which is how he got his answer :)

@user-zt6le8ym7p 3 жыл бұрын

i don"t understand in question number 5. Why did you decided to divide 59 with 4?

@lesserknownfacts7849 3 жыл бұрын

Its because of a pattern. First I am gonna tell you the pattern. i = -1^1/2 i^2=-1 i^3=i^2*i=-1*i=-i i^4=i^2*i^2=-1*-1=1 Now this pattern repeats at intervals of 4th power. example i^8=1 i^12=1 i^16=1 so, i^n= i^r (r is the remainder you get after dividing n by 4) I hope this helped you.

@potatoesyay7763 3 жыл бұрын

For question 5, why did he have to divide 59 by 4?

@gospheltube1011 3 жыл бұрын

I think he used it to simplify i^59 59 is odd number,,,,but he got 14.75 if u multiply 4 with 14.75 u wont get 59 but by 14 u will get ,i think he used for this reason

@theosuleymanov2057 2 жыл бұрын

Because i^1=i İ^2=-1 i^3=-i i^4=1 and then i^5=i^4•i if i^4=1 then i^5=1•i=i .and it will going on like this (Sorry l don't know that much English)