- #1
lfdahl
Gold Member
MHB
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$x, y$ and $z$ are real numbers (not all equal), that obey
\[x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x} = k\]
Find the possible values of $k$.
Source: Nordic Math. Contest
\[x + \frac{1}{y} = y + \frac{1}{z} = z + \frac{1}{x} = k\]
Find the possible values of $k$.
Source: Nordic Math. Contest