perplexus.info :: Just Math : Symmetry helps!

Symmetry helps! (Posted on 2016-10-26)

Solve the system of equations below, listing all un-ordered triplets of integers:

x^2 −(y+z+yz)x+ (y+z)yz = 0
y^2 −(z+x+zx)y+ (z+x)zx = 0
z^2 −(x+y+xy)z+ (x+y)xy = 0

Submitted by Ady TZIDON

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Solution: (Hide)

UNORDERED SOLUTIONS: (0,0,0), (1,1,1,), (-1,1,1,)
ORDERED SOLUTIONS: (0,0,0), (1,1,1,), (-1,1,1,), (1,-1,1,), and (1,1,-1,).

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

Subject	Author	Date
re(2): my short solution....summing up	Ady TZIDON	2016-10-27 09:55:38
re: my short solution	Daniel	2016-10-27 05:29:47
re: computer exploration	Ady TZIDON	2016-10-27 04:27:50
my short solution	Ady TZIDON	2016-10-27 04:20:49
re: No Subject	Ady TZIDON	2016-10-27 04:07:09
No Subject	xdog	2016-10-26 23:03:01
computer exploration	Charlie	2016-10-26 12:08:23

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