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#1 2012-10-18 18:21:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Quartic formula

For the general quartic:

You never see the 4 roots of a quartic given in terms of its coefficients. Here it is:

The roots now are:


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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#2 2012-10-19 06:15:39

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,018

Re: Quartic formula

It seems impractical to remember it, but it is a nice formula..


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#3 2012-10-19 11:38:11

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Re: Quartic formula

It is for reference only. There are numerical means that are superior. I just had fun with the derivation.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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#4 2013-01-22 02:45:08

n872yt3r
Member
Registered: 2013-01-21
Posts: 392

Re: Quartic formula

Quartic formula? I thought it was a quadratic formula. Or are they different? dunno


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#5 2013-01-22 02:47:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Re: Quartic formula

Quartic formula is very different, see post #1.

The quadratic formula solves quadratics, the quartic, quartics.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

Online

#6 2013-01-22 05:05:34

n872yt3r
Member
Registered: 2013-01-21
Posts: 392

Re: Quartic formula

Yup. That is way out of the range.


- n872yt3r
Math Is Fun Rocks! smile
By the power of the exponent, I square and cube you! cool

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#7 2014-10-30 23:23:02

DeanPemberton
Member
From: USA
Registered: 2014-10-30
Posts: 20
Website

Re: Quartic formula

The formula is very nice, once we start solving the question by using the above formula, then we can easily remember the above formula. Not too difficult to remember the above formula.

It is not easy to remember all this formula, few formula we can remember because there are some formulas which are like some basic formulas which we can use sometimes.

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#8 2014-12-29 22:29:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Re: Quartic formula

Hi;

You are not required to memorize it. You can always look it up if necessary. Also, there are other methods to get roots that are more amenable to computation, these should be used when possible.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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#9 2016-11-30 05:20:44

iamaditya
Member
Registered: 2016-11-15
Posts: 21

Re: Quartic formula

Hi, It is an outstanding formula. Though impossible to memorize we can look it up if necessary. I want to know who has derived it and how has it been derived.

And yeah please tell me a similar direct formula to solve cubic equations also. It would be vey helpful to me.

Last edited by iamaditya (2016-11-30 05:21:52)


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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#10 2016-11-30 08:31:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Re: Quartic formula

Hi;

I want to know who has derived it and how has it been derived.

Lodovico Ferrari is credited with the discovery of the solution to the quartic in 1540.

The derivation given above was done with Mathematicas help.

And yeah please tell me a similar direct formula to solve cubic equations also. It would be vey helpful to me.

One way to solve a cubic is given here. I can not recommend it.

http://www.mathisfunforum.com/search.ph … 214129&p=3 in post #54


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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#11 2016-11-30 22:54:00

iamaditya
Member
Registered: 2016-11-15
Posts: 21

Re: Quartic formula

Bobbym , When I'm clicking on this link it is showing "Your search returned no hits"


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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#12 Yesterday 02:55:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Re: Quartic formula

Hi;

That is weird. I will find it again.

Try this:

http://www.mathisfunforum.com/viewtopic … 00#p198900


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

Online

#13 Today 04:58:47

iamaditya
Member
Registered: 2016-11-15
Posts: 21

Re: Quartic formula

yeah now it is coming


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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#14 Today 05:05:24

iamaditya
Member
Registered: 2016-11-15
Posts: 21

Re: Quartic formula

It would take more than triple the time to solve with these formulas than solving it by factorizing. Lol. Factorization is a much better process


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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#15 Today 05:33:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Re: Quartic formula

Iterative methods are superior but it will require a computer.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

Online

#16 Today 21:14:59

iamaditya
Member
Registered: 2016-11-15
Posts: 21

Re: Quartic formula

Yeah bobbym you are right.


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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#17 Today 21:19:07

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,346

Re: Quartic formula

Yeah bobbym you are right.

Hmmm, I am almost never right.

Did you introduce yourself in Introductions?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

Online

#18 Today 21:21:31

iamaditya
Member
Registered: 2016-11-15
Posts: 21

Re: Quartic formula

Nope


Practice makes a man perfect.
There is no substitute to hard work
All of us do not have equal talents but everybody has equal oppurtunities to build their talents.-APJ Abdul Kalam

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