Journal of Formalized Mathematics
Volume 15, 2003
University of Bialystok
Copyright (c) 2003
Association of Mizar Users
Solving Roots of Polynomial Equation
of Degree 4 with Real Coefficients
-
Xiquan Liang
-
Qingdao University of Science and Technology
Summary.
-
In this paper, we describe the definition of the
fourth degree algebraic equations and their properties.
We clarify the relation between the four roots of
this equation and its coefficient. Also, the form of these roots
for various conditions is discussed. This solution is known
as the Cardano solution.
The terminology and notation used in this paper have been
introduced in the following articles
[1]
[4]
[2]
[3]
Contents (PDF format)
Bibliography
- [1]
Grzegorz Bancerek.
The ordinal numbers.
Journal of Formalized Mathematics,
1, 1989.
- [2]
Rafal Kwiatek.
Factorial and Newton coefficients.
Journal of Formalized Mathematics,
2, 1990.
- [3]
Jan Popiolek.
Quadratic inequalities.
Journal of Formalized Mathematics,
3, 1991.
- [4]
Andrzej Trybulec and Czeslaw Bylinski.
Some properties of real numbers operations: min, max, square, and square root.
Journal of Formalized Mathematics,
1, 1989.
Received February 3, 2003
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