10/22/2009, 12:12 AM
Hi i am new here 
I have a question concerning the number 2.7767750400967...
what is 2.7767750400967^^1/2 ?
Some background on the number in case you did not know:
This number satisfies the equation (x-1)^^2 =x or more importantly that its super square root is 1.7767750400967...
Also 1.7767750400967... satisfies several interesting relations
1. (x^^2)^^2 = x^^4
2. x^^2 - x^^1 - x^^0 = 0
(note that the second equation is like the tetration equivalent of the equation for the golden ratio)
hopfully you can help me solve this
lastly I kinda cheated in finding the value 2.7767750400967 so I dont know if it some other equation that has been simplified.
Thanks
I have a question concerning the number 2.7767750400967...
what is 2.7767750400967^^1/2 ?
Some background on the number in case you did not know:
This number satisfies the equation (x-1)^^2 =x or more importantly that its super square root is 1.7767750400967...
Also 1.7767750400967... satisfies several interesting relations
1. (x^^2)^^2 = x^^4
2. x^^2 - x^^1 - x^^0 = 0
(note that the second equation is like the tetration equivalent of the equation for the golden ratio)
hopfully you can help me solve this
lastly I kinda cheated in finding the value 2.7767750400967 so I dont know if it some other equation that has been simplified.
Thanks