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From: cochon@sun.UUCP (Philippe Lacroute)
Newsgroups: net.math
Subject: UCSB competition problem
Message-ID: <345@sun.UUCP>
Date: Mon, 14-Nov-83 20:21:20 EST
Article-I.D.: sun.345
Posted: Mon Nov 14 20:21:20 1983
Date-Received: Tue, 15-Nov-83 19:33:13 EST
Lines: 21

I recently participated in a prize competition sponsored by the College
of Creative Studies, UC Santa Barbara.  I can't figure out one of the
problems:

	Solve the system of equations

		 2               2
		x   = 1 + (y - z)

		 2               2
		y   = 2 + (x - z)

		 2               2
		z   = 3 + (x - y)

Note: no higher math (above high school trig) should be necessary.
	There is probably some clever trick to solve it which I can't
	figure out.

				Philippe Lacroute
				...decvax!sun!cochon