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Mathematics, 02.09.2020 05:01 jjace0016

Let a, b, c, and d be distinct real numbers such that a = sqrt(4 + sqrt(5 + a)), b = sqrt(4 - sqrt(5 + b)), c = sqrt(4 + sqrt(5 - c)), d = sqrt(4 - sqrt{5 - d)). Compute abcd.

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