The roots of the quadratic equation \(x+\frac{1}{x}=3\), x ≠ 0 are

1
3 + \(\sqrt5\), 3 - \(\sqrt5\)
2
2 + \(\sqrt5\), 2 - \(\sqrt5\)
3
\(\frac{3+\sqrt5}{2}\)\(\frac{3-\sqrt5}{2}\)
4
\(\frac{3+\sqrt3}{2}\)\(\frac{3-\sqrt3}{2}\)
5
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