Academic Journal of Computing & Information Science, 2022, 5(3); doi: 10.25236/AJCIS.2022.050302.
Zhihu Wang1, Cuizhen Du2
1Information College, Huaibei Normal University, Huaibei, Anhui, 235000, China
2School of Mathematical Sciences, Huaibei Normal University, Huaibei, Anhui, 235000, China
There are many methods to solve equation of degree n with one unknown, but the restrictions of most methods are very harsh. Based on Vieta’s theorem, this paper gives the symbolic effective coefficient method and the elimination of rotation symmetry method to solve the n-th equation of one variable.
Symmetry of functional displacement, Vieta’s theorem, Equation of degree n with one unknown, factorization of polynomials
Zhihu Wang, Cuizhen Du. New Solution of Equation of Degree n with One Unknown. Academic Journal of Computing & Information Science (2022), Vol. 5, Issue 3: 17-22. https://doi.org/10.25236/AJCIS.2022.050302.
[1] Du Wanjuan, qu Anjing. The Historical Development of Galois Theory of Algebraic equations-- from Lagrange to Dedekin [J]. The study of philosophy of Science and Technology, 2021 J 38 (02): 92-97.
[2] Li Ying. On the solution of univariate n-th equation [J]. Science and Technology Information, 2009, (30): 483.
[3] Yu Zhanlin, Wang Liying, Mao Shaomiao. A parallel computing method for solving the numerical solution of univariate higher order equation [J]. Computer Application Research, 2017, 34 (11): 3321-3323-3328.
[4] Pre-Algebra Group, Department of Mathematics, Peking University. Wang Calyx Fang, Shi Shengming revised. Higher algebra [M]. The fourth edition. Beijing: higher Education Press, 2013.
[5] Wang Hui, Ye Yongsheng. The application of symmetry in two kinds of curvilinear integrals [J]. Journal of Huaibei normal University (Natural Science Edition), 2011, 32 (04): 72-75.
[6] Ai Zhenghai, Sun Feng. Unified interpretation of all kinds of integral Symmetry Theorems in Mathematical Analysis [J]. Journal of Leshan normal University, 2020 minute 35 (08): 8-1211 26.