How to prove that the only integer solution to (x-a)(x-b)(x-c)(x-d) - 4 = 0 is (a+b+c+d)/4

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Postscript: How to prove that the only integer solution to (x-a)(x-b)(x-c)(x-d) - 4 = 0 is ... Postscript: How to prove that the only integer solution to (x-a)(x-b)(x-c)(x-d) - 4 = 0 is ...
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