- Tytuł:
- How to solve third degree equations without moving to complex numbers
- Autorzy:
- Dawidowicz, Antoni Leon
- Powiązania:
- https://bibliotekanauki.pl/articles/1789260.pdf
- Data publikacji:
- 2020-12-31
- Wydawca:
- Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
- Tematy:
- roots of third-degree equations
- Opis:
- During the Renaissance, the theory of algebraic equations developed in Europe. It is about finding a solution to the equation of the form anxn + . . . + a1x + a0 = 0, represented by coefficients subject to algebraic operations and roots of any degree. In the 16th century, algorithms for the third and fourth-degree equations appeared. Only in the nineteenth century, a similar algorithm for the higher degree was proved impossible. In (Cardano, 1545) described an algorithm for solving third-degree equations. In the current version of this algorithm, one has to take roots of complex numbers that even Cardano did not know. This work proposes an algorithm for solving third-degree algebraic equations using only algebraic operations on real numbers and elementary functions taught at High School.
- Źródło:
-
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2020, 12; 123-131
2080-9751
2450-341X - Pojawia się w:
- Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
- Dostawca treści:
- Biblioteka Nauki
Artykuł