Question

Does an invertible real matrix have a real cubic root

score 245 · Answer 1 · 2022-11-22 01:51:22

245

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Does an invertible real matrix have a real cubic root

Published on 22 Nov 2022 - 1:51

score 73 · Answer 2 · 2022-11-24 06:37:39

73

Views

Spivak, Ch, 25, 2(v): Is there some specific technique to factorize $x^3-x^2-x-2$ or must one guess that 2 is root?

Published on 24 Nov 2022 - 6:37

score 126 · Answer 3 · 2022-11-24 16:54:47

126

Views

Find the value of: $\sqrt[3]{a+b}+\sqrt[3]{b+c}+\sqrt[3]{a+c}$

Published on 24 Nov 2022 - 16:54

score 118 · Answer 4 · 2026-02-23 08:41:13

118

Views

Further information on the reduction of cubic equations to a system of two conic sections

Published on 23 Feb 2026 - 8:41

score 88 · Answer 5 · 2022-12-03 03:01:27

88

Views

Will the perpendicular bisector between the line connecting two cubic roots of the same arc never intersect its turning point?

Published on 03 Dec 2022 - 3:01

score 429 · Answer 6 · 2022-12-04 23:31:07

429

Views

Solving Cubic Systems of Diophantine Equations

Published on 04 Dec 2022 - 23:31

score 46 · Answer 7 · 2026-03-25 19:07:11

46

Views

How is $\xi+2a\eta<0$ an "obvious necessary condition" for $y^3+2y^2(1-2a-\xi)+y(1-4\xi+8a\xi)-2\xi-4a\eta >0$ to be satisfied for positive $y$?

Published on 25 Mar 2026 - 19:07

score 219 · Answer 8 · 2026-03-30 09:52:31

219

Views

On the solvable octic $x^8-44x-33 = 0$ and the tribonacci constant

Published on 30 Mar 2026 - 9:52

score 89 · Answer 9 · 2022-12-17 22:37:54

89

Views

Is this quadratic polynomial monotone at solutions of this cubic?

Published on 17 Dec 2022 - 22:37

score 145 · Answer 10 · 2026-04-01 14:42:18

145

Views

Is this what casus irreducibilis actually is?

Published on 01 Apr 2026 - 14:42

score 91 · Answer 11 · 2026-02-23 08:40:53

91

Views

How many roots of $x(1-x)^{2}=s$ are there in $(0,1)$?

Published on 23 Feb 2026 - 8:40

score 80 · Answer 12 · 2026-02-23 08:42:03

80

Views

How to determine the order of the real roots of a cubic equation?

Published on 23 Feb 2026 - 8:42

score 79 · Answer 13 · 2023-01-07 20:45:34

79

Views

Showing that $P$ is unique

Published on 07 Jan 2023 - 20:45

score 180 · Answer 14 · 2026-04-01 05:49:43

180

Views

Regular heptagon coordinates from a cubic field

Published on 01 Apr 2026 - 5:49

score 173 · Answer 15 · 2023-01-26 23:41:59

173

Views

Solving Vieta's jumping problem (1988 IMO problem 6) with a cubic polynomial

Published on 26 Jan 2023 - 23:41

List Question

Does an invertible real matrix have a real cubic root

Spivak, Ch, 25, 2(v): Is there some specific technique to factorize $x^3-x^2-x-2$ or must one guess that 2 is root?

Find the value of: $\sqrt[3]{a+b}+\sqrt[3]{b+c}+\sqrt[3]{a+c}$

Further information on the reduction of cubic equations to a system of two conic sections

Will the perpendicular bisector between the line connecting two cubic roots of the same arc never intersect its turning point?

Solving Cubic Systems of Diophantine Equations

How is $\xi+2a\eta<0$ an "obvious necessary condition" for $y^3+2y^2(1-2a-\xi)+y(1-4\xi+8a\xi)-2\xi-4a\eta >0$ to be satisfied for positive $y$?

On the solvable octic $x^8-44x-33 = 0$ and the tribonacci constant

Is this quadratic polynomial monotone at solutions of this cubic?

Is this what casus irreducibilis actually is?

How many roots of $x(1-x)^{2}=s$ are there in $(0,1)$?

How to determine the order of the real roots of a cubic equation?

Showing that $P$ is unique

Regular heptagon coordinates from a cubic field

Solving Vieta's jumping problem (1988 IMO problem 6) with a cubic polynomial

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