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Let alpha and beta be two real numbers s...

Let `alpha` and `beta` be two real numbers such that `alpha+beta=1` and `alpha beta=-1` Let `p_(n)=(alpha)^(n)+(beta)^(n), p_(n-1)=11` and `p_(n+1)=29` for some integer `n geq 1` Then, the value of `p_(n)^(2)` is

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