perplexus.info :: Just Math : Zero Sum Expression

Zero Sum Expression (Posted on 2015-03-25)

Define p ⊗ q = p+q-p*q, and find all possible triplets (a, b, c) of integers such that:
a ⊗ ( b ⊗ c) + b ⊗ (c ⊗ a) + c ⊗ (a ⊗ b) = 0

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(p,q,r) = (0,0,0), (2,2,0), (0,2,2), (2,0,2)
For an explanation, refer to the solution submitted by Jer in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
algebraic solution	Jer	2015-03-26 08:17:28
computer exploration	Charlie	2015-03-25 15:44:18

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