Solution of Cubic and Quartic Equations

• Autorzy: Marco Riccardi
• Języki publikacji: EN

Abstrakty

EN

In this article, the principal n-th root of a complex number is defined, the Vieta's formulas for polynomial equations of degree 2, 3 and 4 are formalized. The solution of quadratic equations, the Cardan's solution of cubic equations and the Descartes-Euler solution of quartic equations in terms of their complex coefficients are also presented [5].

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2009
• Tom: 17
• Numer: 2
• Strony: 117-122

Daty

wydano

2009-01-01

online

2009-07-14

Twórcy

autor

Marco Riccardi

• Casella Postale 49, 54038 Montignoso, Italy

Bibliografia

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• [8] Jan Popiołek. Quadratic inequalities. Formalized Mathematics, 2(4):507-509, 1991.
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• [11] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
• [12] Yuguang Yang and Yasunari Shidama. Trigonometric functions and existence of circle ratio. Formalized Mathematics, 7(2):255-263, 1998.

Identyfikatory

DOI

10.2478/v10037-009-0012-z