olymmath

HMMT 2010 U18

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Find two lines of symmetry of the graph of the function y=x+1xy=x+\frac{1}{x}. Express your answer as two equations of the form y=ax+by=a x+b.

Dataset text NuminaMath olympiads. Quoted with source.

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y=(1+\sqrt{2}) x \text{ and } y=(1-\sqrt{2}) x

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