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