>> Nope, sorry, I'm not seeing it.
> 
> You just need to do a couple more steps:
> 
> 1/4 + sqrt(5)/2 + 5/4
> =
> 6/4 + sqrt(5)/2
> =
> 3/2 + sqrt(5)/2
> =
> (3+sqrt(5))/2
> 
> :-)

I failed to notice the two constant terms at opposite ends of the 
equation. Clearly I need to invent that CAS real soon now... o_O

> Or you can just solve x+1=x^2 your favourite way.

Yeah, I guess.

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