Want to PASS Algebra 2? You better understand this…..

TabletClass Math:
tcmathacademy....
Math help with multiplying complex numbers an important Algebra 2 topic. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at tcmathacademy....
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[@PaquiCamus]

It was really helpful. I need to review my math. I have done math to calculus 2 at UNI for a Chemistry degree more than 50 years ago. Now, I have my grandkids doing Maths from Grade 8 to Grade 10 and I have realised that I have forgotten many things. I have decided to review ALL the maths from Algebra 2. I will certainly, follow your courses. I enterily agree about "notetaking". In my time we did not have calculators, but we use "log tables" and "slide rule". Eventually, in the 1970 I was able for buy my first calculator. The rest is history! Ah, my old Maths teacher use to say: "You just need paper and pencil to practice and learn Maths".

[@BlackhawkPilot]

Much the same. However attending school in Switzerland we had to memorize the logs from 1 to 10 and all the angles of a circle in 15 degree increments. That discipline has saved me several times and I often do not need a calculator to solve complex (both definitions) problems.

[@nfpnone8248]

I never took notes, and I was always at the top of my class in math. Notes aren’t important, understanding the concepts that you are taking notes about is important. If you learn the principles, you won’t need notes!

[@antoniofuller2331]

Hmm

[@jets1230]

Flex much nerd

[@R_802]

I used to think that too, but for me, writing things down in my own words and attempting problems before the teacher did was very useful and help me understand things much better.

[@shadowlegacy6590]

Yeah this ngga definitely unlocked ki powers

[@bernardsouza814]

Not everyone is the same, bud. Congrats on being good at math, but it is not very helpful.

[@Eeriefee]

I dropped my Alg 2 class within the first 2 weeks of class, I wish these types of resources existed to me back then 😭

[@krishflix6538]

You should join back.

[@DALEWORKS-tm8um]

Thanks for your detailed explanations (and quick review of the basics used in each concept). I took math years ago, it was all memory and no cause and effect explantions. Very boring. You say "why" and that makes it interesting.

[@AFmedic]

If a student plans on going into electronics they need to get quite comfortable with imaginary numbers. Especially when doing calculation on circuits involving capacitors & chokes. Also they'll have to get used to converting back and forth between Polar Form and Rectangular Form because easier to multiply or divide in Polar Form and add or subtract in Rectangular Form.

[@aortega701]

This comment is straight legit on point

[@anthonyant6735]

this was a really good starting video thank you so much

[@amelierutledge5629]

Thankyou this helped me out alot because I have never been good at math and maybe just watching this video helped me understand it more

[@Ninja17-c9q]

summary of the video and timestamp of what is important and what you should Starting a video to 3:43 seconds How to improve become a better student 3:46-8:59 explains the importance of complex numbers in real numbers and you need to remember 8:59-14:47 Proceeds go to have no problem explaining step-by-step on how to solve, then begins to explain the importance of knowing complicated numbers and my notes are very important

[@beans5945]

Thank you this was really helpful

[@haroldh3863]

Yeah -- most modern calculators can do complex numbers directly (any HP48.49, 50 Prime) -- generally the best way to deal with this is convert to polar - multiply the magnitudes and add the angles, then convert back. You can aslo do it the hard way with using j^2 = -1 and use foil. Also not that me main field that uses complex numbers is electronics/electrical engineering - in that system we use j as the imaginary operator instead of the "i" because "i" is already used as current.

[@alanhurdle3949]

A Liner matrix explaining vectors I trying to link them together so I can look at an equation and brake it down easy with a mental view of its actions placed on the coordinator scale ty for you videos they help me dream thank you

[@jimmydeville951]

God damnit I got a D in algebra 2 💀

[@owensamet7570]

I just wanna say I’m cooked

[@ChavoMysterio]

(3+5i)(2-4i) 6-12i+10i-20i^2 6-2i-20i^2 6-2i-(20•-1) 6-2i+20 26-2i ✓

[@dougrigel1997]

So 20i squared = 20( -1 ) ?

[@dougrigel1997]

How did you get this? 6-2i-(20•-1)

[@ChavoMysterio]

@@dougrigel1997 i^2 is equivalent to -1, thus the square root of -1 is equal to i. 20 times i^2 is 20 times -1, which is -20.

[@darktimesatrockymountainhi4046]

@@dougrigel1997That’s i squared - not 20i squared. i squared equals -1.

[@darktimesatrockymountainhi4046]

@@dougrigel1997 +5i x -4i = -20(i squared)

[@aryusure1943]

At least I was able to apply the FOIL method but it got tricky when I had to deal with the imaginary part. Now I know! Thank you!

[@WineSippingCowboy]

Good! 😃 Agreed on the a topic for Algebra 2. 😃 Alternate solution. Use an alternative to FOIL. Use a graph/matrix. This will reduce any chance for mixing up terms. Now that method deserves the A+! 😃

[@syedmdabid7191]

Valde facilus! Id est= 26 -- 2i, Numera complexa, responsi.

[@NotSoSunny07]

Not everyone who isn’t taking notes is on their phone or talking to someone. I can’t take good notes because I have an auditory processing disorder. I always had a friend take notes for me.

[@toast509]

Womp womp

[@kimmysworld4885]

I have college M 200 and I really need to pass. I will keep watching your videos

[@doogiemcdougster6740]

You will only ever need this in algebra class. I never once used imaginary numbers in 3 semesters of college calculus.

[@yumi7439]

I passed algebra 2 without knowing this now I'm struggling in college precalculus 😂

[@LuisRomero-fh9bu]

Hi! Will you be kind to tell me where I can look for your videos to understand that 120i squared is actually -20 x -1. I can understand I = suareroot of -1 is isuared = -1. But I still cannot understand that 120i squared is -20 x -1. Thank you so much.

[@koosjorritsma6314]

26 -2i

[@bigal7025]

Hello sir I am what I call kinda smart I’m 10 and I just finished learning the Pythagorean and the Pythagoras I finished algebra 1 now I’m on this tysm for the help

[@laurendinstell8954]

Why do you do i^2 = -1?

[@steverogers1976]

Video starts at 3:43.

[@devynncook1919]

cool

[@theophonchana5025]

x^(2) = -16 x = sqrt (-16) x = error

[@nicolasbruno829]

modern problems require modern solutions

[@adnannour4150]

=6-2i-20i²

[@veronicats100]

Interesting how you make problems that are simple very complex and painfully tedious. It is even more interesting that you don't realize it.

[@wjrs5]

That’s an interesting but complex comment. I am intrigued that something complex for many but simple for you is also tedious for you but may become simple and less tedious for many. I think people should make up their own minds. Sorry to give a complex and tedious answer and I hope it isn’t painful.

[@AshleyChing-c3o]

THIS IS HOW MATH WORKS

[@danieldennis9831]

26-2i?

[@v-gc7257]

Better review now. Thanks

[@jasminemejia411]

I’m confused how he got i= the square root of -1

[@thomaskember4628]

In (3 + 5i) you're adding areal number to an imaginary number. Isn't this giving a new meaning to (+) and the same to (-)?

[@SacredAmerican]

My daughter is doing this now in 11th grade and she has been crying because she doesn't know how to do it

[@Kaizite]

I'm in middle school and I got the right answer!

[@ojedaantony4632]

Yapper McYappington

[@alternaterealitytourist1710]

Thanks. I need a bit of help with the step of i = √-1. Do you have a video that explains this?

[@rocksparadox]

It basically means that i*i (or i^2)=-1 It's an agreement to have a way to solve negative square roots. Example 2i*2i=-4 3i*4i=-12 4i *4i=-16 (xi)^2= x^2 -1 + 2xi (1+i)^2 = (1+i)*(1+i)= 1-1+2i=2i NOTE that 1+i is NOT the same as 1i (1 TIMES i) I HOPE this made things more clear.

[@henkhu100]

@@rocksparadox May be you can check your examples before publishing them: (xi)^2= x^2 -1 + 2xi. ????? Or did you mean (x+i)^2. ? Check what you write before you publish it.

[@fourmula4812]

02:28 nots not

[@fourmula4812]

05:28 should of wrote .... +/- x2=16

[@EULIX]

Hello sir I’m in a college and I’m really getting struggled with Algebra 2. And even i know my math is not enough.Because I’m understanding or no remembering the rules and that’s why I’m getting mad and I can’t solve the equations then can I have one of your videos that talks just about the rules of Algebra in General.I will really appreciate that thank you 🙏.

[@bushtherapy7655]

6-2i-20isquared

[@mendozajovy]

=6-12i+10i-20i^2, =6-2i-20i^2 but i=(-1)^0.5, =6-2i-20×(-1), =6-2i+20, =26-2i

[@robbin.bankss]

why do you say i=(-1)^0.5? where does the ^0.5 come from?

[@mendozajovy]

@@robbin.bankss imaginary number, i is equal to sq(-1)

[@irwandasaputra9315]

6-12i+10i-20i^2 6-2i-20i^2

[@darktimesatrockymountainhi4046]

I did this in my head while you bantered for 3+ minutes… 26-2i

[@bone0944]

1000%, come on dude, how can the correct answer be 10 times more than the correct answer.

[@dieseltu1035]

if an apple a day keeps the doctor away, and that is correct then 1000 apples keep the doctor away 1000 days or keeps 1000 doctors away one day. which is 1000 x better than 100 percent.

[@Poosmon]

That’s w

[@GWAIHIRKV]

Content was good, when it came. Shame about the 90% waffle.

[@troybush5899]

That was an "EASY" problem???? Difficult to understand...

[@crand20033]

You lost me here: why does I = the square root of negative one?

[@cbesthelper404]

Agreed upon in order to accommodate those situations when you have the square root of a negative number, which is not a real number.

[@sunnavailable]

1000% is that 10 times better than 100%?

[@henkhu100]

Don't you know the difference between R and {R}? You use {R} where you have to use R. Please don't give students the wrong examples.

[@elliott6943]

yapper

[@BlackhawkPilot]

Why you need complex numbers? There are many engineering problems that are more easily solved in the imaginary world.

[@SoulReap199]

This really isn't beneficial in any way for anybody studying Algebra 2, or even Algebra 1! Anybody who knows that "i" is can solve this problem easily, and that doesn't prove anything remotely related to passing Algebra 2, a much more demanding course than the square root of negative 1 could ever be.

[@devynncook1919]

i dont like math im home schooled and have to wach theese

[@antoniofuller2331]

Hmmm

[@envygames4271]

My answer before watching this video is correct and I never took algebra 2.

[@gparker8306]

No such thing as %1000.

[@dieseltu1035]

yes there is ,

[@jeffs7915]

Absolute nonsense

[@Bluntblowin2.0]

Stuff is pointless! Nun of this Stuff is used in the real world. Teach on how to work, pay bills , & to never go broke.

[@Joyzica]

why did you talk about nothing for 13 minutes

[@neilmorrone691]

Way, way too slow and uninteresting!

[@semmes5342]

omg i fell asleep

[@qzvl]

Bros professor yap Jesus christ