What of you couldn't cube the second term? What if it was 6 instead of 8? What would you do then? Also, how do you know when to set up the equation as sum/difference of products of binomial and trinomal?
Schools need to start teaching complex/vector (2D) systems as a part of algebra, it astonishing how much they delay teaching relevant topics. It’s honestly a more natural way to understand standard grade school level cartesian graphing than the plain xy format.
Three solutions if it's a complex polynomia but not always if it's a real one. Yeah, that identity here in Cameroon, we used to make it two years before the end of the high school so I made it in my head to see that -2 was the only solution if x was real. When considering the case complex, I've just minded that t³=8e^(iπ)=2³e^(iπ).
I don't get it. 😢 I mean, I could repeat the process and spit out the correct answers, but I don't really get it. -2 makes sense. How can there be three answers?
Simply make a circle around (32,0) = 32+0*i, and you get t = ⁵√32 * e^(2*k*π*i/5) = 2 * e^(2*k*π*i/5), where n is an integer, e.g. k=0 will give t=2 as the real solution.
One of the best math teachers ever! 🙏🙏🙏🙏
Super, can't be better. You worth to be a teacher. Well done Sir.
Wow, thanks
Very good. Clear. Methodic. Synthetic without losing the important details.
Thank you!
Wonderful math lesson in less than 5 mins. I thank you Sir.
Love the way you teach❤
I also
Excelent review of algebra! 👍
This is fantastic! So concise and straight forward.
It is good that you showed the discriminant in your steps. I have found many students make mistakes when they attempt to simplify the discriminant.
Great video! Could you make a video on factoring equations and conpleting The squares?
Great suggestion! Will do.
Thank you, interesting video, you are super-teacher.
very glad to watch such abled teacher, interesting,.
Sir you are the coolest teacher ever , bringing coolest topic for us
can you make a video about complex number??
Your way to explain details, at every steps is distinguished...gi forward thanks a lot
The best ..from Tamilnadu, India
Sir you are simply Superb 🎉😀
I really like your approach. Thanks
I love learning from this man!
Short, sweet and to the point ❤
I have not done this in 45 years .I was able to follow this ..I wish I would of had you for Pre -Calculus and Calculus
Commenting cause that's amazing, in general it's just so handy having so many methods, thank you professor
Great video. Thanks!
Thank you. You are the best.
Nice Sir...
Love the intro
Excellent teaching
Thank you, Professor! I wish I had YOU in college! 🙏🙏🙏🙏
You can also apply roots of a complex number. t^3 = 8e^(2npi + pi). Then take a cubic root on the both sides.
Yes you can also solve it with polar form and Gauss planes
Awesome 👍👍
Beautiful!
Nice
Nice but, is it possible to add a graphic solution to the equation? Thanks.
Correct man ! Well done
Thanks teacher 😊
Awesome😊
What of you couldn't cube the second term? What if it was 6 instead of 8? What would you do then? Also, how do you know when to set up the equation as sum/difference of products of binomial and trinomal?
Schools need to start teaching complex/vector (2D) systems as a part of algebra, it astonishing how much they delay teaching relevant topics. It’s honestly a more natural way to understand standard grade school level cartesian graphing than the plain xy format.
Please make big lectures for joint entrance exam.
Thank you so much. I love mathematics. It is my favourite subject in school besides computer science.
You can use Euler method to solve too
Can you provide reply that gives an example of a real world application of this equation and the use of imaginary numbers
Have you tried Googling your question?
Sir can tell why you took the i out of the root instead of keeping the the minus in the root . I mean how does it help us to calculate the answer ❤
Imaginary number i was created since sqrt of a negative number is not allowed in math
Three solutions if it's a complex polynomia but not always if it's a real one. Yeah, that identity here in Cameroon, we used to make it two years before the end of the high school so I made it in my head to see that -2 was the only solution if x was real. When considering the case complex, I've just minded that t³=8e^(iπ)=2³e^(iπ).
thanks a lot
Thanks!
wow... just wow
Thanks
❤
👍👍
Yeah I gotta review those formulas is all.
I say use "Complete the square" method when doing t^2 - 2t + 4 = 0 but quadratic formula is okay
i ? what is i?
wow first time seeing this 2:06
I don't get it. 😢 I mean, I could repeat the process and spit out the correct answers, but I don't really get it.
-2 makes sense. How can there be three answers?
I think I need to review imaginary numbers.
When the degree of an equation(biggest power) is 3, there are 3 solutions.
Mostly cubes create two imaginary. Higher powers more. So solar system has about 40. Heat threads.
I donno what's the use of these imaginary numbers when they aren't Real?
Professor is there any application of this?
Perfekt
These always have some imaginary shenanigens which cancel out. What is the practical application of such things?
If you were trying to find all solutions for t^5=-32, then I would be much more impressed.
Simply make a circle around (32,0) = 32+0*i, and you get
t = ⁵√32 * e^(2*k*π*i/5) = 2 * e^(2*k*π*i/5), where n is an integer, e.g. k=0 will give t=2 as the real solution.
just use the roots of unity
2 complex and one real roots are there.
i used to be so good at this... but years of not having to use it.. now im a moron.
What I always disliked in math was when you end up with an uneven number like in this example. So -2 is cool, but this 1+-sqr3 is annoying.
🤩
Teach, I wish I have your brain, or may be a fraction of it.
impssible de suivre les commentaires, les soustitre ne sont plus traduits sur youtube désolé je me désabonne
Ajab khan khattak.U presume that all those who watch this video know everything.U should write on the board what u speak
But why
Why not~
Hi Mr Tutoring, can I send you a math problem. I don't know how to solve it. Do you have an emailadress? Thx Carlos