We solve the pell equation using the continued fraction for square root of 2. What equations can we solve using the continued fraction of cube roots (and other numbers too)?
2026-03-30 02:10:14.1774836614
Solving equations using continued fractions?
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Voronoi developed a generalized continued fraction algorithm for computing units in cubic fields. You can find a beautiful geometric interpretation of Voronoi's algorithm in Delone and Faddeev's: Theory of Irrationalities of Third Degree.