Tony Hanmer wrote: The Golden Ratio, also known as the Greek letter phi (pronounced "fee") and several other names, is indeed a fascinating number. It is approximately 1.1680339887499; or is it this number minus 1? Anyway, it is the only answer to the question, Which number satisfies *both* 1/x = x-1 and x^2 = x+1?... Wild. It is also calcualted as ((sqrt 5)-1)/2. First, the ratio is 1.61803398874989... Secondly, your two equations 1/x = x-1 and x^2 = x+1 are just variants of one another. In other words, they are identical and any solution will obviously satisfy *both*. They can also be written as: x^2-x-1=0. Solving for x yields two roots, one being the positive and referred to as the Golden ratio, the other being negative and equal to -0.61803398874989... Raymond Filiatreault _________________________________________________________________ Protect your PC - get McAfee.com VirusScan Online http://clinic.mcafee.com/clinic/ibuy/campaign.asp?cid=3963