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BACHET EQUATIONS AND CUBIC RESOLVENTS
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 Title & Authors
BACHET EQUATIONS AND CUBIC RESOLVENTS
Woo, Sung Sik;
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 Abstract
A Bachet equation will have a rational solution if and only if there is for which is reducible. In this paper we show that such cubics arise as a cubic resolvent of a biquadratic polynomial. And we prove various properties of cubic resolvents.
 Keywords
Bachet equation;rational solution;resolvent cubi;
 Language
English
 Cited by
 References
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3.
A. Schinzel, Polynomials with Special Regard to Reducibility, Encyclopedia of mathematics and its applications 77, Cambridge University Press, Cambridge, 2000.

4.
B. L. van der Waerden, Algebra, 4th ed., Frederick Ungar Publishing Co., New York, 1967.