People at university might know this... Watch

This discussion is closed.
thewebmaster
Badges: 1
Rep:
?
#1
Report Thread starter 13 years ago
#1
Ok just out of interest, might make this into a poem lol

theres
a QUADRATIC then
a CUBIC then
a ?
a ?

What are the rest?
^2
^3
^4
^5

Have they all been solved? do they all have master formulas for example the quadratic formula? Do they fall into a pattern like The Binomial Theorem?

Thanks
0
DaveManUK
Badges: 10
Rep:
?
#2
Report 13 years ago
#2
quartic, quintic, galois theory. there is the cubic formula, but galois proved poly. equations degree 4 or above cannot be solved by a single equation.
0
goku999
Badges: 3
Rep:
?
#3
Report 13 years ago
#3
quartic
0
thewebmaster
Badges: 1
Rep:
?
#4
Report Thread starter 13 years ago
#4
Do you touch upon ANY of these at AS or A level maths or further maths

as i've looked at both the cubric solutions and The Binomial Theorem and both scare the *hi8 out of me!

?
0
DaveManUK
Badges: 10
Rep:
?
#5
Report 13 years ago
#5
binomial thm, but not cubic formula.
0
ljfrugn
Badges: 2
Rep:
?
#6
Report 13 years ago
#6
There's something called the impossibility theorem, which shows that there is no 'equation' for solving equations of order 4 and above.
0
DaveManUK
Badges: 10
Rep:
?
#7
Report 13 years ago
#7
ah yeh its abels thm.
0
ljfrugn
Badges: 2
Rep:
?
#8
Report 13 years ago
#8
Mathematicians should just put everything else to the side and find an equation that can solve ANY equation .
0
DaveManUK
Badges: 10
Rep:
?
#9
Report 13 years ago
#9
ljfugn - read up on godels theorems, eg. the incompleteness axiom, i have a tome on this subject.

http://en.wikipedia.org/wiki/Incompleteness_Theorem
0
ljfrugn
Badges: 2
Rep:
?
#10
Report 13 years ago
#10
I was just reading about it on another site, before you posted the link. It sounds strange, especially the 'within any number system it can be found that there is a statement that can neither be proved nor disproved' one. I didn't understand the proof of that.
0
thewebmaster
Badges: 1
Rep:
?
#11
Report Thread starter 13 years ago
#11
There's certainly nothing to stop someone attempting to find a master formula for quadratic equations cubic quatric etc.

There is DEFINATELY one there must be since its all relative.

Is this what godels theorems is?

Can't we get a computer to do this?
0
DaveManUK
Badges: 10
Rep:
?
#12
Report 13 years ago
#12
http://www.vordenker.de/gunther_web/achill1.htm - achilles and the tortoise
http://www.ncsu.edu/felder-public/ke...ers/godel.html - brief i mean brief summary.
0
DaveManUK
Badges: 10
Rep:
?
#13
Report 13 years ago
#13
yes you use computers to find solutions of higher order equations by estimated iteration.
0
ljfrugn
Badges: 2
Rep:
?
#14
Report 13 years ago
#14
Webmaster, you can solve basically anything by computer, but this is achieved by iterating through a set of numbers until one that matches is found, it's not the same as an algorithm that can be followed to give a precise answer.
0
Chewwy
Badges: 15
Rep:
?
#15
Report 13 years ago
#15
(Original post by thewebmaster)
There is DEFINATELY one there must be since its all relative.
:rolleyes: what on earth does relative mean.
0
ljfrugn
Badges: 2
Rep:
?
#16
Report 13 years ago
#16
I think he just said it to sound good lol.
0
SsEe
Badges: 13
Rep:
?
#17
Report 13 years ago
#17
(Original post by thewebmaster)
There's certainly nothing to stop someone attempting to find a master formula for quadratic equations cubic quatric etc.

There is DEFINATELY one there must be since its all relative.

Is this what godels theorems is?

Can't we get a computer to do this?
Indeed. There's nothing to stop you finding a master formula for quintinc or higher. But Galois PROVED they don't exist. So you could get an infinite number of people working on it for an infinite amount of time and none of them would ever find one.
0
thewebmaster
Badges: 1
Rep:
?
#18
Report Thread starter 13 years ago
#18
no what i actually meant by relative was that all quadratics are in form

ax^2 + bx - c
all cubics in form

ax^3 + ......

so really everything is just increased by a certain factor each time. An advanced form of scaling up similar to the binominal theorum?
0
Chewwy
Badges: 15
Rep:
?
#19
Report 13 years ago
#19
(Original post by thewebmaster)
no what i actually meant by relative was that all quadratics are in form

ax^2 + bx - c
all cubics in form

ax^3 + ......

so really everything is just increased by a certain factor each time. An advanced form of scaling up similar to the binominal theorum?
nononononoonononononoononononono onononononononononononoonnoonono nononononoonononono.














no.

some cannot be solved. it has been PROVED they can NOT be solved using a general method. NOT. c'est impossible.
0
thewebmaster
Badges: 1
Rep:
?
#20
Report Thread starter 13 years ago
#20
SsEe how can he prove the master formula doesn't exsist exsactly?

How can something just simply not exsist?
0
X
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of East Anglia
    All Departments Open 13:00-17:00. Find out more about our diverse range of subject areas and career progression in the Arts & Humanities, Social Sciences, Medicine & Health Sciences, and the Sciences. Postgraduate
    Wed, 30 Jan '19
  • Solent University
    Careers in maritime Undergraduate
    Sat, 2 Feb '19
  • Sheffield Hallam University
    City and Collegiate Campus Undergraduate
    Sun, 3 Feb '19

The new Gillette ad. Is it:

Man-hating bullsh*t (79)
45.66%
Pro-humanity (94)
54.34%

Watched Threads

View All
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise