Golden Ratio Conjugate

Author

Eric W. Weisstein
April 17, 2006

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Constants/GoldenRatioConjugate.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/GoldenRatioConjugate.html.

©2006 Wolfram Research, Inc. except for portions noted otherwise

Code

Φ=1/GoldenRatio;

Identities

FunctionExpand[Φ]

Subtract@@{(((Sqrt[5])-1)/2),(2/(1+(Sqrt[5])))}//Simplify

Subtract@@{GoldenRatio-1,Φ}//FullSimplify