# People at university might know this...Watch

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

theres
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
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
13 years ago
#3
quartic
0
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
13 years ago
#5
binomial thm, but not cubic formula.
0
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
13 years ago
#7
ah yeh its abels thm.
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13 years ago
#8
Mathematicians should just put everything else to the side and find an equation that can solve ANY equation .
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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
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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.
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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?
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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.
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13 years ago
#13
yes you use computers to find solutions of higher order equations by estimated iteration.
0
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.
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13 years ago
#15
(Original post by thewebmaster)
There is DEFINATELY one there must be since its all relative.
what on earth does relative mean.
0
13 years ago
#16
I think he just said it to sound good lol.
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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.
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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
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.
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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
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