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- Feb 14, 2012
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Let \(\displaystyle x,\;y,\) and \(\displaystyle z\) be distinct non-zero real numbers such that \(\displaystyle x+\frac{1}{y}=y+\frac{1}{z}=z+\frac{1}{x}\).
What is the value of \(\displaystyle |xyz|\)?
What is the value of \(\displaystyle |xyz|\)?