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Obtaining a New Representation for the Golden Ratio by Solving a Biquadratic Equation

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DOI: 10.4236/jamp.2014.213134    3,594 Downloads   3,946 Views  
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

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

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[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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