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


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.

MML Identifier: POLYEQ_2

The terminology and notation used in this paper have been introduced in the following articles [1] [4] [2] [3]

Contents (PDF format)


[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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