find period of f(x).

$If $\mathbf{f:\mathbb{R}\rightarrow \mathbb{R}}$ and $\mathbf{\frac{\sqrt{5}+1}{2}f(x)=f(x+1)+f(x-1)\forall x\in \mathbb{R}}$.\\\\ Then find Period of $\mathbf{f(x)}$\\\\ Ans:=$\mathbf{10}$

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Shubhodip ·

Hint: let t = (√5 +1)/2

then t2 = t+ 1

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