[Algebra] Derive the quartic formula

In this video, we will derive the quartic formula (a.k.a. finding out the general solution of a degree 4 polynomial).

[nightytime]

Quartic polynomials are of degree 4, this video's duration is 44:44. Perfection.

[YoungPhysicistsClub]

bro hesitated to write the constant as 'e' in the thumbnail, relax nobody thought it was euler's number

[sagee_.r]

Well done one 250 subsxribers! Keep up the good work!

[calvinjackson]

Just get rid of the 3degree term by using a linear transformation like one did for cubic.

[daniel_.]

my phone's battery is at 44%. perfect

[per]

At 500 subs you should derive the quintic formula :D

[bobbyheffley]

If you can obtain a rational root for the resolvent cubic, it can simplify work.

[mf-boomer]

You just got yourself a new subscriber :)

[theneekofficial]

This seemed cool, youve got a new subscriber!

[Lepl_Acie]

I'm in third grade Middle school and this is complex meybe .. so i want to know, why we don't have ( ∆ ) like ax²+bx+c=0
∆=b²-4ac
X1=(-b+√∆)/2a ou X2=(-b-√∆)/2a, if ∆ = 0 we have only one solution if he negative we have complex number but why and why we don't have this in ax⁴+...+e=0

[johannestan]

Hi! I have a question. How did you come up with 3/8a^2x^2? I got 21/16a^2x^2 instead. Thanks for helping out in advance😊

[steelbrotherhoodof]

zero is the second iteration, step, to solve the equation variable. too determine them. it is actually not zero.
we add equal to zero to solve an unknown varable. it starts without. the = 0. wich is the first step. first literation. the whole formula is not equal to zero. but has a different answer. but this is probably not a formula. but points on a graphic out of a table. wich means their are individual coordinates. wich are unique units.

[islamkamal]

Add Arabic subtitles to your videos please