If x2-2 (K + 1) x + K2 + 5 is a complete square, then K is equal to______ ．

∵ x2-2 (K + 1) x + K2 + 5 is a complete square formula, ∵ [± (K + 1)] 2 = K2 + 5, the solution is k = 2, so the answer is: 2

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