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Quaint Quintic Question II (Posted on 2013-10-26) Difficulty: 3 of 5
Determine the all possible triplets (x,y,z) of real numbers with x ≤ y ≤ z that satisfy this system of equations:

(x + y)5 = z, and:
(y + z)5 = x, and:
(z + x)5 = y

Prove that there are no others.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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  Subject Author Date
SolutionGot them all! (spoiler)Steve Herman2013-10-26 20:32:48
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