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Canadian Open Math Challenge
1997 Canadian Open Math Challenge
12
12
Part of
1997 Canadian Open Math Challenge
Problems
(1)
COMC 1997 #12
Source:
6/8/2017
Find all real values of x, y, and z such that
x
−
y
z
=
42
x - \sqrt{yz} = 42
x
−
yz
=
42
y
−
x
z
=
6
y - \sqrt{xz}=6
y
−
x
z
=
6
z
−
x
y
=
30
z-\sqrt{xy}=30
z
−
x
y
=
30