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JOURNALS // Mathematical Education // Archive

Math. Ed., 2024 Issue 1(109), Pages 18–21 (Mi mo864)

Students and teachers of mathematical specialties

On solving cubic equations in square radicals

N. S. Astapov, N. K. Noland

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: Examples are given of parametric families of equations of the third and sixth degree, for which all roots are expressed through square radicals. A condition has been found under which a sixth-degree polynomial in canonical form can be represented as a product of third-degree polynomials in canonical form.

UDC: 512.622



© Steklov Math. Inst. of RAS, 2025