JAMP  Vol.2 No.13 , December 2014
Obtaining a New Representation for the Golden Ratio by Solving a Biquadratic Equation
Author(s) Leonardo Mondaini1,2*
ABSTRACT
In the present work we show how different ways to solve biquadratic equations can lead us to different representations of its solutions. A particular equation which has the golden ratio and its reciprocal as solutions is shown as an example.

Cite this paper
Mondaini, L. (2014) Obtaining a New Representation for the Golden Ratio by Solving a Biquadratic Equation. Journal of Applied Mathematics and Physics, 2, 1149-1152. doi: 10.4236/jamp.2014.213134.
References
[1]   Boyer, C.B. and Merzbach, U.C. (1991) A History of Mathematics. 2nd Edition, John Wiley & Sons, Inc., New York.

[2]   Weisstein, E.W. Characteristic Equation. MathWorld—A Wolfram Web Resource.
http://mathworld.wolfram.com/CharacteristicEquation.html

[3]   Lipschutz, S. and Lipson, M. (2013) Linear Algebra—Schaum’s Outlines. 5th Edition, The McGraw-Hill Companies, Inc., New York.

[4]   Livio, M. (2002) The Golden Ratio: The Story of Phi, the World’s Most Astonishing Number. Broadway Books, New York.

[5]   Cardano, G. (1993) Ars Magna or the Rules of Algebra. Dover Publications, Mineola.

 
 
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