We can compute the discriminant of any power of a polynomial. For example, the quadratic discriminant is given by Δ 2 = b 2 − 4 a c \Delta_2 = b^2 - 4ac ...

In the case of a cubic with real coefficients, the discriminant is positive if the polynomial has three distinct real roots, and negative if it has one real ...

14 июл. 2019 г. · Cubic equations have a discriminant analogous to the discriminant of quadratic equations. The discriminant tells you how many distinct roots ...

29 сент. 2015 г. · The assignment is to analyze the relationship between quadratic and cubic polynomials and their discriminants. How to find discriminant of a cubic equation? Discriminant of the depressed cubic - Math Stack Exchange The uses of the discriminant with cubics - Math Stack Exchange Другие результаты с сайта math.stackexchange.com

The discriminant formula of a cubic equation ax3 + bx2 + cx + d = 0 is, Δ (or) D = b2c2 − 4ac3 − 4b3d − 27a2d2 + 18abcd.

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Опубликовано: 14 мая 2012 г.

If the discriminant of a cubic is zero, the cubic has a multiple root. If furthermore its coefficients are real, then all of its roots are real. is zero if. Cubic function · Nicolo Tartaglia · Gerolamo Cardano · Quartic equation

The discriminant of a polynomial with leading coefficient one is the product over all pairs of roots , of . A Method option can be given, with typical possible ...

30 авг. 2015 г. · The is the discriminant of the cubic and has all the information required to determine the nature of the roots of the depressed cubic given by ...