$$ x^2 +x -1 =0 $$ What is special about the solutions ?

Question

$$  x^2 +x -1 =0 $$ What is special about the solutions ?

anonymous · Answer

and what are the solutions?

anonymous · Answer

I just did an analysis of Yukawa potential orbits and coincidentally the positive solution to that is the threshold value of a parameter which governs whether there can be bound states .... but I suspect that's not what you're looking for.

anonymous · Answer

golden ratio and it's reciprocal?

anonymous · Answer

this is a ubiquitous number the Goden Ratio - is the threshhold between chaotic and Non-chaotic behaviour in KAM theory. Kolmogorov Arnold Moser

anonymous · Answer

http://www.physicsforums.com/showthread.php?t=86023

anonymous · Answer

aren't they the ones that invented the back scratcher?

anonymous · Answer

http://books.google.co.il/books?id=gcU5Fj9uy7IC&pg=PA131&lpg=PA131&dq=kam+and+golden+ratio&source=bl&ots=jNB6W4Zw_S&sig=e0Mz9yb-xINxGJXDL-rrZY331jY&hl=ru&sa=X&ei=HD1rUMbmBaSx0QXI_IHoCw&ved=0CCYQ6AEwAQ#v=onepage&q=kam%20and%20golden%20ratio&f=false

anonymous · Answer

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