What should you able to see this paper? You will see some of calculation estimates and approximations that mathematics can perform as they solve technical problems and communicate their results. The origin of the Linear equation goes back to the early period of development of Mathematics and it is related to the method exhaustion developed by the mathematicians of ancient Babylon and Greece. In this sense, the method of the exhaustion can be regarded as an early method of calculus. The greatest development of method solution of such equation in the early period was obtained in the works Scipione dell Ferro and Niccolo Tartaglia (1539). Systematic approach to the theory of the Linear equation of degree three began in the 16th century. In this paper I studied some properties of the liner equation of degree 3. The concept of solutions of linear equations is one of most important mathematical concepts. I introduce embedding intervals of the linear equation of degree 3 with one variable. How many solutions are there to the equation? First and foremost, one can discover the definition of a linear equation of degree 3. The Fundamental theorem of Arithmetic says that, the solution of given equation is between divisors of constant term: leading coefficient. But it is very difficult to choose it among them. That is why, we need following condition. Second one can find condition for such equation. The idea that the solution of simultaneous equations y=x2, y=(–cx–d):(ax+b) is where the graphs intersect can be used too different situations. Your sketching determine the number of real roots of this equation. The solution to this equation are represented by the points where the graphs intersect. Then we can get y=±(–cx–d) and y=±(–cx-d)1/2×(ax+b)1/2. Consider such inequality one can solve by graphical method and by other methods, where c, b, c, d are real numbers, in addition, a≠–b:d. Here the expression (–cx–d):(ax+b) must be nonnegative. Using it we can find main condition for our given equation. Third I have placed several examples for improved pedagogical format compising the problem’s proof, solutions and discussion.
| Published in | Mathematics Letters (Volume 7, Issue 3) |
| DOI | 10.11648/j.ml.20210703.12 |
| Page(s) | 41-44 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Linear Equation of Degree 3, Solutions of Equation, Inequality, Graph of Function
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APA Style
Rena Eldar Kizi Kerbalayeva. (2021). Embedding Integral of a Linear Equation of Degree 3 with One Variable. Mathematics Letters, 7(3), 41-44. https://doi.org/10.11648/j.ml.20210703.12
ACS Style
Rena Eldar Kizi Kerbalayeva. Embedding Integral of a Linear Equation of Degree 3 with One Variable. Math. Lett. 2021, 7(3), 41-44. doi: 10.11648/j.ml.20210703.12
AMA Style
Rena Eldar Kizi Kerbalayeva. Embedding Integral of a Linear Equation of Degree 3 with One Variable. Math Lett. 2021;7(3):41-44. doi: 10.11648/j.ml.20210703.12
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Download@article{10.11648/j.ml.20210703.12,
author = {Rena Eldar Kizi Kerbalayeva},
title = {Embedding Integral of a Linear Equation of Degree 3 with One Variable},
journal = {Mathematics Letters},
volume = {7},
number = {3},
pages = {41-44},
doi = {10.11648/j.ml.20210703.12},
url = {https://doi.org/10.11648/j.ml.20210703.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ml.20210703.12},
abstract = {What should you able to see this paper? You will see some of calculation estimates and approximations that mathematics can perform as they solve technical problems and communicate their results. The origin of the Linear equation goes back to the early period of development of Mathematics and it is related to the method exhaustion developed by the mathematicians of ancient Babylon and Greece. In this sense, the method of the exhaustion can be regarded as an early method of calculus. The greatest development of method solution of such equation in the early period was obtained in the works Scipione dell Ferro and Niccolo Tartaglia (1539). Systematic approach to the theory of the Linear equation of degree three began in the 16th century. In this paper I studied some properties of the liner equation of degree 3. The concept of solutions of linear equations is one of most important mathematical concepts. I introduce embedding intervals of the linear equation of degree 3 with one variable. How many solutions are there to the equation? First and foremost, one can discover the definition of a linear equation of degree 3. The Fundamental theorem of Arithmetic says that, the solution of given equation is between divisors of constant term: leading coefficient. But it is very difficult to choose it among them. That is why, we need following condition. Second one can find condition for such equation. The idea that the solution of simultaneous equations y=x2, y=(–cx–d):(ax+b) is where the graphs intersect can be used too different situations. Your sketching determine the number of real roots of this equation. The solution to this equation are represented by the points where the graphs intersect. Then we can get y=±(–cx–d) and y=±(–cx-d)1/2×(ax+b)1/2. Consider such inequality one can solve by graphical method and by other methods, where c, b, c, d are real numbers, in addition, a≠–b:d. Here the expression (–cx–d):(ax+b) must be nonnegative. Using it we can find main condition for our given equation. Third I have placed several examples for improved pedagogical format compising the problem’s proof, solutions and discussion.},
year = {2021}
}
TY - JOUR T1 - Embedding Integral of a Linear Equation of Degree 3 with One Variable AU - Rena Eldar Kizi Kerbalayeva Y1 - 2021/10/30 PY - 2021 N1 - https://doi.org/10.11648/j.ml.20210703.12 DO - 10.11648/j.ml.20210703.12 T2 - Mathematics Letters JF - Mathematics Letters JO - Mathematics Letters SP - 41 EP - 44 PB - Science Publishing Group SN - 2575-5056 UR - https://doi.org/10.11648/j.ml.20210703.12 AB - What should you able to see this paper? You will see some of calculation estimates and approximations that mathematics can perform as they solve technical problems and communicate their results. The origin of the Linear equation goes back to the early period of development of Mathematics and it is related to the method exhaustion developed by the mathematicians of ancient Babylon and Greece. In this sense, the method of the exhaustion can be regarded as an early method of calculus. The greatest development of method solution of such equation in the early period was obtained in the works Scipione dell Ferro and Niccolo Tartaglia (1539). Systematic approach to the theory of the Linear equation of degree three began in the 16th century. In this paper I studied some properties of the liner equation of degree 3. The concept of solutions of linear equations is one of most important mathematical concepts. I introduce embedding intervals of the linear equation of degree 3 with one variable. How many solutions are there to the equation? First and foremost, one can discover the definition of a linear equation of degree 3. The Fundamental theorem of Arithmetic says that, the solution of given equation is between divisors of constant term: leading coefficient. But it is very difficult to choose it among them. That is why, we need following condition. Second one can find condition for such equation. The idea that the solution of simultaneous equations y=x2, y=(–cx–d):(ax+b) is where the graphs intersect can be used too different situations. Your sketching determine the number of real roots of this equation. The solution to this equation are represented by the points where the graphs intersect. Then we can get y=±(–cx–d) and y=±(–cx-d)1/2×(ax+b)1/2. Consider such inequality one can solve by graphical method and by other methods, where c, b, c, d are real numbers, in addition, a≠–b:d. Here the expression (–cx–d):(ax+b) must be nonnegative. Using it we can find main condition for our given equation. Third I have placed several examples for improved pedagogical format compising the problem’s proof, solutions and discussion. VL - 7 IS - 3 ER -
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