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#1 2016-02-17 22:28:43

wintersolstice
Real Member
Registered: 2009-06-06
Posts: 125

formulas of polynomials

Linear

Quadratic

Cubic

will get quartic soon smile

Last edited by wintersolstice (2016-02-18 09:51:03)


Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!

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#2 2016-02-18 13:27:23

Newman
Member
Registered: 2015-09-21
Posts: 42

Re: formulas of polynomials

Wow. Cool to see that evolution.

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#3 2016-02-19 02:52:33

mathaholic
Member
From: Earth
Registered: 2012-11-29
Posts: 3,251

Re: formulas of polynomials

yikes

So hard to understand tongue


Mathaholic | 10th most active poster | Maker of the 350,000th post | Person | rrr's classmate
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#4 2016-02-19 13:23:45

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: formulas of polynomials

What are you having a problem with?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2016-02-19 22:54:30

wintersolstice
Real Member
Registered: 2009-06-06
Posts: 125

Re: formulas of polynomials

bobbym wrote:

What are you having a problem with?

I have solution expressed in terms of other variables which in turn are composed of others and if I do all the substitution it will be big and I want to simplify but am no good at that


Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!

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#6 2016-02-20 02:25:18

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: formulas of polynomials


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#7 2016-02-20 08:32:49

Newman
Member
Registered: 2015-09-21
Posts: 42

Re: formulas of polynomials

I just discovered solving quadratic by "completing the square" so I explored cubic a bit and found this Method using "Depressing the cubic" (x = y - (b/3a)) and (y = s-t).

Curious if you guys prefer one method to the other in particular situations? Interesting stuff for us beginners.

Last edited by Newman (2016-02-20 08:40:02)

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#8 2016-02-20 10:51:16

wintersolstice
Real Member
Registered: 2009-06-06
Posts: 125

Re: formulas of polynomials

I'm wondering if I should post mine using the various variables substitution? btw its different from yours smile

btw my solution involves 8 variables to be defined (like in yours)

Last edited by wintersolstice (2016-02-20 11:07:09)


Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!

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#9 2016-02-20 11:43:20

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: formulas of polynomials

Hi;

I doubt it would look like mine but post it if you like.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#10 2016-02-20 11:46:10

wintersolstice
Real Member
Registered: 2009-06-06
Posts: 125

Re: formulas of polynomials

bobbym wrote:

Hi;

I doubt it would look like mine but post it if you like.

I've said it doesn't look like yours lol

anyway thanks I'll post it later smile


Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!

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#11 2016-02-20 22:50:13

wintersolstice
Real Member
Registered: 2009-06-06
Posts: 125

Re: formulas of polynomials

Hopefully this is right.

To solve:

Define the following 8 variables A, B, C, D, E, F, G and H.

then the roots are:

Last edited by wintersolstice (2016-02-21 00:22:21)


Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!

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