Solving Quadratic Equations With Imaginary Numbers

This algebra video tutorial explains how to solve quadratic equations with imaginary numbers.

Solving Quadratic Equations By Factoring:

Graphing Quadratic Functions:

Quadratic System of Inequalities:

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Final Exams and Video Playlists:

[UnknownMelodies]

This guy has been my tutor for the past 4 years. He is the guy i come to right before an exam. He is the Real tutor.

[akeebplazy]

Bro is so humble, he didn't even celebrate hitting 8mil subscribers

[sarinonayam]

Math teacher here but I'm still watching this guy 🥰

[yogurtsimo]

may god bless the dinosaur that died to make the fossil fuel that was treated to become petrol in the car that took his mom to the hospital to give birth to the organic chemistry tutor.

[kileyslife]

Cuz of you I got an 88% on my final exam this year! (Math finals are known to be the hardest at my school, and I've missed a lot of school cuz of my brain surgery, so I'm very happy with an 88)

[scarrealll]

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[TheAbyssalEnderling]

Quadratic equations are my greatest weakness. This helps me understand them better. Your explanations are perfect for me to understand. :)

[TatakaeGaming]

8M SUBSCRIBERS🎉🎉🎉
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[Successwhisper-xjce]

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[vysernius]

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[AbiolaOdunsi]

Can the organic chemistry tutor please do something on longitude and latitude? Dying for how he will explain it

[kylebeschler]

Literally I was searching him up a couple days ago then the following day he uploads a video lol.

[notoious]

I HOPE YOU’ll READ THIS.
Sir, if possible make a video on maths ““quantitative aptitude”” the way you teaches ‘ Man!! it’s undoubtedly super understandable…I believe you’ll look into it….Thank you !!

[lglb]

BE VERY CAREFUL WITH i - i will blow your mind!

Yeah, i = sqrt(-1) was mentioned, but there's sooo much more. The one thing I fear most throughout Quantum Physics math is juggling i, LOL!

Let's start with 1 / i = -i ? What the... !!

That should be a joke to keep the smart kids quiet for a while:
"Ok, kids, what number is the same as its inverse?" Smart kids: " 1 = 1 / 1 "
"Ok, kids, what number is the negative of its inverse?" Smart kids: [cricket chirping].
LMFAO!

Well, hopefully by the end of the video you know that i^2 = -1, but did you know that 1 / i^2 = -1 too?

Yep, all of these equal -1:
{ i^2, i^(-2), 1/i^2, 1/i^(-2) } = { -1, -1, -1, -1 }

And the exact same thing with 3's instead of 2's is completely different:
{ i^3, i^(-3), 1/i^3, 1/i^(-3) } = { -i, i, i, -i }

And the exact same thing with 4's instead of 3's is completely different:
{ i^4, i^(-4), 1/i^4, 1/i^(-4) } = { 1, 1, 1, 1 }

And then the exact same thing with 5's instead of 4's is the complete opposite of the 3's:
{ i^5, i^(-5), 1/i^5, 1/i^(-5) } = { i, -i, -i, i }

Uhhh....?

Uh - YEAH! I'm tellin' ya, i will total blow your mind, and just wait until it gets under some vinculum (becomes a radicand; gets inside an n-th. root thingy) - holy cow, you know it can come out, you just have no idea what it'll come out as!!! Just when you think you've got it, i will hunt you down! LMAO. AND the powers don't commutate (you can't swap them):

( i^(1/3) )^3 does in NO WAY equal ( i^3)^(1/3) ?¿?¿?!

Ok, did you get that last one? Now how 'bout it’s inverse:

( i^3)^(-1/3) ?


Ya, whenever someone asks me to explain how a low-energy electron could quantum tunnel across a high-energy band-gap, I just tell them " 'i' did it! " If you ask me, i is the Tao of Physics, why there’s Quantum Entanglement, and the reason for dark matter - all those Imaginary numbers you keep ignoring gotta go somewhere!

Yep, i is like the HexaFlexigon of the universe. Reach in the hat and pull out… a rabbit! Do it again and this time you get... a banana? Do it again but this time... your hand comes out of your ... !

[Aetherakabane]

I feel like I owe my tution fees to him

[bornfacemwaura]

Now I'm a better mathematics teacher

[Recheeks]

Biomed here. I don't even need this but it reminds me of a day where I was an expert in a subject 😂

[Deeprelaxation]

Fourth comment first computer science student

[paimanmartin]

First comment first engineering student

[OnlyForStudy-ox]

Hey my exams are in 3 days can u make a conceptual video with numericals based upon graphs of motion especially as oer grade 11 level. I am from India plssss❤❤❤❤❤