Cubic Equation

Рет қаралды 37,317

Prime Newtons

Күн бұрын

Пікірлер: 73

@snox6469 8 ай бұрын

Thanks for showing a different way of doing it, normally i would use 2nd moivre law to find the complex routes.

@pietergeerkens6324 10 ай бұрын

Nice! A beautiful little kata demonstrating good technique and presentation. The one thing I might do differently is to reformat the final line with the half under the second factor, - so I could more readily make the trigonometric comparison as a lead-in to Fundamental Theorem of Algebra.

@bobbun9630 11 ай бұрын

Sigh. No one ever uses the cubic formula! j/k

@PrimeNewtons 11 ай бұрын

Lol. I almost did. I will make a video someday.

@WartinLutherKing 5 ай бұрын

Bro it's maths🤫🥶

@bobbun9630 5 ай бұрын

@@WartinLutherKing I'm not sure where you're going with that comment. There is a generalized cubic formula. It's not commonly emphasized in high school or college curricula, but it's definitely math. No doubt the reason most people don't know it is because it's significantly more complicated than the quadratic formula. There's also a generalized solution for quartic equations, and that one's complicated enough to fill a page. The history behind the development of the cubic formula and the proof that there is no generalized formula for finding the roots of quintic or higher degree polynomials are interesting bits of math history in their own right.

@akorede_bobo06 5 ай бұрын

@@PrimeNewtonspls what's the apps used

@Grecks75 4 ай бұрын

Yeah, and for a reason. 😄

@JASONKINGMATHK 11 ай бұрын

Great

@serk-s 7 ай бұрын

Just use nth unit root and adapt to -3 instead -1.

@wolfcanyon Ай бұрын

I probably would have used De Moirve’s theorem

@peterluger1400 2 ай бұрын

just take the 3rd root of 3, and then multiply by the 3rd roots of 1.

@truonganly9797 6 ай бұрын

This question is very easy with highschool in Vietnam

@batimgamer126 11 ай бұрын

Couldn't you have (more easily) just added 3 to both sides and then cube root both sides rather than all of that work? 😭 Or am I just missing the point of the video 😅

@meunomeeeu3118 11 ай бұрын

There are 3 solutions for a cubic equacion, you mencioned 1, he made the other 2

@batimgamer126 11 ай бұрын

@meunomeeeu3118 ohhh okay

@josephlorizzo8997 11 ай бұрын

@@batimgamer126, no you are right, you can use De moivre's formula to have the other two answers

@redroach401 8 ай бұрын

After you get that, get other answers using roots pf unity.

@yousciencelab5307 11 ай бұрын

Please, which app are you using?

@j.m.8895 3 ай бұрын

In the quadratic formula part, how did it go from "-4(3)^(2/3)" to "(1-4)"?

@jigglyCroissant 3 ай бұрын

Taking common

@aryahan4976 7 ай бұрын

OMG I DIDN'T KNOW ABT THIS! COOL

@GlobaliveKh 11 ай бұрын

❤❤❤❤

@peterkrenn9051 9 ай бұрын

This technique SAVE the Humans from disgusting cubic equations!! 😮😮😮😮😮🥰🥰🥰🥰🥰🥰🥰🥰🥰🥰🥰

@starfaeish4193 11 ай бұрын

What app?

@kdivyansh300 11 ай бұрын

Why making so much mess? Just make the equation x³ = 3 (x/³√3)³ = 1 Now, the cube roots of unity are ω, ω² and 1. This means, x/³√3 = ω,ω²,1 This means, x = ³√3ω or ³√3ω² or ³√3 If you know about complex numbers, then you the value of cube roots of unity (omega ω).

@speakingsarcasm9014 11 ай бұрын

Indeed that's how we solve x^n = k... The solutions are k*exp(i(2rπ/n)) where r = 0,1,...,n-1.

@Aman_nitb_cse 11 ай бұрын

Good

@PrimeNewtons 11 ай бұрын

Absolutely. I just can't teach my algebra students that yet.

@unexpectediteminbaggingare8074 11 ай бұрын

correct roots of unity, perfect

@Z7youtube 10 ай бұрын

well, we did the same thing, just with showing what is omega

@JakeMarley-k6g 3 ай бұрын

One of the few problemsI can solve on this channel

@ThoseInterestingStories 5 ай бұрын

SMH lazy these people don’t even find the Taylor series or the cube root of 3 these days 😔

@zoeliu6072 11 ай бұрын

怎麼樣還是跑不了背公式，氣死。😂🎉❤

@Bbb123-w5i 10 ай бұрын

公式解還行啦國中必備

@quoctruong7270 11 ай бұрын

Can you make a video about Carnado's Method?

@Magictrend101 11 ай бұрын

Cardano* . I have one

@rishikab4814 5 ай бұрын

Somebody please explain how he split that cubic eqn into quadratic

@Grecks75 4 ай бұрын

Just do a long division (polynomial division) of (x^3 - 3) by (x - r) where r is the real root and you'll see.

@SmartSideFamily 11 ай бұрын

guys whats the name of the song. M looking for it

@NightBlazr_ 11 ай бұрын

Believer by Imagine Dragons

@sclearDevelopment 3 ай бұрын

Cubert 3 is clearly a root. We could have skipped many steps with euclidean division

@jigglyCroissant 3 ай бұрын

3 is not a root 😂

@sclearDevelopment 2 ай бұрын

@@jigglyCroissant Omg I have no clue what I was on when I wrote this comment

@meowjustme6865 2 ай бұрын

xcube equals 3 x equals cube root of 3 .... .... .... .. . . .

@sandbox14 11 ай бұрын

But, the cube root of 3 cubed is 3, and 3-3=0?

@the_pks_ 11 ай бұрын

Those answers in vid are secret answers :)

@briopalumpus8676 7 ай бұрын

ooo

@elgb5671 11 ай бұрын

Me: ³/3 ×e^((2iπ/3)*0or1or2)

@redroach401 8 ай бұрын

👍 Agreed

@adrian_kaye 11 ай бұрын

In such equations you already know x^3=3, so x=3root(3)

@aythanraherisoanjato3056 11 ай бұрын

This is only 1 out of the 3 solutions

@adrian_kaye 11 ай бұрын

@@aythanraherisoanjato3056 All other solutions are basically the same, but with more steps

@srinjansingharoy202 11 ай бұрын

@@adrian_kayethey are still the "solutions" of the given equation and according to mathematical conventions you are supposed to include all solutions of an equation unless provided some condition. You will be incorrect if you mention only one root in any form of paper or dissertation

@adrian_kaye 11 ай бұрын

@@srinjansingharoy202 They have the same answer I’m just saying that this is the most visible and obvious solution with no extra steps, in this specific equation

@kotarotennouji5238 11 ай бұрын

@@adrian_kayeDifferent inputs can yield the same output, you need to list all inputs. All the inputs are mathematically not the same, even if they have the same output.