perplexus.info :: Just Math : The Quartic Condition

The Quartic Condition (Posted on 2024-09-01)

Let a, b, c, d be distinct integers such that (x-a)(x-b)(x-c)(x-d) - 4 = 0 has an integer root r.

Show that 4r=a+b+c+d.

No Solution Yet Submitted by Danish Ahmed Khan

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