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**FERMAT'S**- Replies: 1

Hello everyone

I have read before ( but I don't know where ) about something calld "newten theory" which is about roots and equations.

Can you give me a resource about this theory or any information that can help?

I think the theory is about finding the conclussion of equations root in n term

for example

if X1 ,X2,X3,X4,X5,.................,Xn are roots for the equation

aX^n+bx^(n-2)+............................+c=0

by using this theory we can find the conclusion of x1^n+x2^n+................+xn^n=?? directly.

Thank you.

bobbym wrote:

Hi FERMAT'S;

That might be difficult. Hold on please.

Here is a sevener:

What forum?

how ?

did you do it by egyptian fraction theory ??????

actually I found this quastion in a math forum

Find a,b,c,d,e,f,g if they are natural numbers N = 1,2,3,..................

and

7/30 = 1/a + 1/b + 1/ c + 1/d + 1/ e + 1/f + 1/g

yes

as an egyptian fraction

last thing

How to expand the fraction . for example

5/121 is divided in two ways . the first one is longer than the other

can you expalin it with a small example like

7/30 .

Divide it to 7 fractions.

Thank you

yes I it was my fault

I used it in a worng way

but I got it

Thank you so much . I appreciate it

allways put it in possitive ?? right

can you look at this

http://en.wikipedia.org/wiki/Greedy_algorithm_for_Egyptian_fractions

(simplifying the second term in this replacement as necessary). For instance:

7/15 = 1/3+2/15 ???

the remainder should be 1

that means it should be

7/15 = 1/3 + 1/45 , should not it ? According to the rulle

It does not make sens but the rule says that

-3/45=-1/15

right

**FERMAT'S**- Replies: 22

Hi everyong

could please explain me what does **y mod x **mean ??

and find

(-15 mod 6 ) / ( 15 . 3 )

by the way

thank you so much .

and I read it again in a Teaching Package.

but I don't have this package now > so I want to be sure aout this infornmation.

hi bobbym

thank you for your comment

could you please the method that I wrote above ? and tell me if it true

thanx

WoOoOoW

tHaNk YoU So MuCh

are there the solutions ?

I read one before that says .

if X is integer

to know if X is prime or not .

First find a square number that is biger tahn X and let's call it y ^2

so

root(x ) <y

second, divide X on all the square number between 2 - y

now , if the result is integer number so X is not prime . if it is not so x is a prime number .

I hope if this right .

**FERMAT'S**- Replies: 12

Hi everyone

could u please write me the methods those to know if the number is prime number ?

**FERMAT'S**- Replies: 1

Hi everybody

do u know a good book for ( Number theory )) basices , and has some of BIMO quastions ??

woOoOow

I will think about it , thank u for the hint for a new problem

I tried to prove this rule >>> (n-1+j)C j , I wondered from where the Combinations came ?

I have quastion is there a link for IMO training in this forum.:

thank u so much

actually I read a rule says

if x1,x2,x3,........,xn Integers numbers but not negative

so the number of solutions for x1+x2+x3+x4+........+xn=j

is

(n-1+j)C j

I Wanna be sure if is it right ?

ok thanx for that

what about if we say a+b+c+d=8

how many solutins there are ?

Sorry there was a mistake in the quastion

I fixed the mistake

thank u

I got the same bobbym's answer

65780 ways = 26C5

thank u for the quastion

**FERMAT'S**- Replies: 10

:

if x,y,z are Integers numbers but not negative (0,1,2,3,4,5,6...........))

(( if u have other sentence better than this please tell me ))

how many solutions there are in this formulas.

x+y+z=2

and what are they ??

I know it is easy question , I just wanna be sure of something

thanx :):):)

thank u too, genesh moderator

and it is my pleasure to be a member in this big forum of informations.:)

thank u bobbym