Solving a Quartic Equation with Quadratic Techniques

[sodical]

I'm watching this instead of doing my maths and applied maths homework good thing there's a hurricane coming to Ireland and school is closed tomorrow

[victort.]

I'm only in 9th grade Algebra 2 but this actually made sense. And even though my math class itself is a bit stressful I found this video soothing. Thank you!

[alanbannister]

Fantastic. I heard about this teacher while I was in my communications class at UWA.

[nathanielsharabi]

A fully factored polynomial should always be looked for any symmetry. Theres an x+1 x+2 x+3 x+4 theres a symmetry and if you are willing to investigate it often the answer will be apparent.(here its 1+4 =2+3 Lesson is to not be afraid to side track and dig into the question just because you cant see a way youve traditionally learned.

[Rocherz]

*5:14** “The most important part in mathling is the choosing, not the actual computing.”*

[darcash]

My initial way was kinda slow. I tried to create a square term right off the bat, but eventually arrived pretty similarly. At the second step youre on here tho, a more elegant way would be to see they're two away from each other, allowing for (u+1)(u-1) where u is x^2+5x+5.

[jayveeaurea]

If you expand the whole equation you get:

😬😆

[leprechaunos]

What do you think about solving quartic equations with ferrari's method?

[AG-klds]

Should you end up with 4 values for x?

[christopherellis]

Please, sir, I can't read what's on the board

[jcs]

woah... that was insane o.o it's so easy!

[FREEZarts]

why am i here i don't even study math i have highschool level

[PegasusTenma]

Found a way to solve it just by watching 1 second of the clip. The trick is to multiply the left hand side in such a way that you get common terms. So here (X-1)(X-4) are the perfect pairs, and the other two remaining ones are the perfect pair. Getting a common terms X^2-5X on both sides is good since that can be substituted

[prasannamadabhave]

Plz find the values of A, a, b, c, d if f(0)=4 and f(x)= A(x-a)(x-b)(x-c)(x-d)
Plz post detailed solution

[kAngeLxD]

I tried to solve it and got u=-2 and u=-3 making x^2+5x=-2 or -3, which is impossible to solve? Can someone help wit h the further solutions please

[llamaz]

I love you, please marry me Mr Eddie Woo