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\[x ^{2}+y ^{2}+z ^{2}=3xyz\] Find the solutions for x, y, and z.
Good luck. :)
Solve the equation 3 times. 1 for each variable you are looking for
Good luck.
In particular, it asserts that you can set x = 1 and find infinitely many solutions to 1 + y^2 + z^2 = 3yz
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