I Love Football

The Ministry of Education and Science of the Republic of Kazakhstan The Department of Education of Astana

composition:

Prepared by:


Subject:

Leader:




Scientific investigate supervisor:



















Generalization of Cardanos formula

Abai Kozhabergenov
Danel Arapov

Mathematics

Muammer Gul
Teacher of mathematics


A.Kh.Otarov
PhD in mathematics
prof of the Eurasian National University

























Abstract




Topic: Generalization of Cardanos formula


mathematical function: Construction of some multinomials of degree n solvable in radicals.




Hypothesis: Possibility of constructing polynomials of degree n with given conditions.


Stages of add: Familiarization with equations which are solvable in radicals. Collection of scientific information. attend for information in the Internet.


Practical application: This work is profitable for the students of universities and secondary schools, classes which study advanced mathematics.


Research result: Theorems, the topographic point of roots of polynomials of degree n in the field of labyrinthian numbers solvable in radicals can be be with the help of constructing Fn(x) polynomials of degree n. The proved theorems represent generalization of Cardanos formula.














































Table of contents

Introduction……………………….………………………….…………………….4

Research part……………………………………………………......................5-19

1. Construction of the Fn(x) polynomial and preliminary results ........................5

2. n?1(mod 2), b2-4a n < 0 …………………………………………………………6

3. n? 0(mod 2), b2- 4a n< 0 ………………………………………………………..8

4. n?1 (mod 2), b2-4a n> 0 ………….………………………….….……………9

5. n? 0(mod 2), b2-4a n > 0 …………….…………………………..……………..10

6. The Chebyshev polynomials ......………………………………………………11

7. n?1(mod 2), b2-4a n = 0 ……….………………………….……..……………..14

8....If you want to get a full essay, order it on our website: Orderessay



If you want to get a full essay, wisit our page: write my essay .