Hello, gfbrd!
. . . . no
The original expression has a "minus": .
You must mean: .
. . which happens to equal: .
. . where , the Golden Ratio.
It can be shown that: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
I'd like to share a "trick" for raising to higher powers.
One of the root of the quadratic equation: . .is
This means: .
Divide by
We have: .
Square: .
Square: .
Square: .
Square: .
Hence: .
Therefore: .