How to get $2^p=(1+\sqrt{5})/2$ from the equation below?

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The equation is $4^p-2^p-1=0$

How to get $2^p = (1+\sqrt{5})/2$ from that equation?

Please help.

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it is $(2^p)^2-2^p-1=0$ with $t=2^p$ we get $$t^2-t-1=0$$ Can you solve this?