List questions from cubics

Published on 02 Aug 2022 - 8:36

115

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Prove that if $a+b\sqrt[3]{2} + c\sqrt[3]{4} = 0$ then $a=b=c=0$, where $a,b,c$ are rational numbers

Published on 04 Aug 2022 - 13:19

150

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Solving the system $x^3+y= 3x+4$, $2y^3+z = 6y+6$, $3z^3+x=9z+8$

Published on 07 Aug 2022 - 5:28

190

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Collinearity of the three roots of a cubic equation in the complex plane

Published on 12 Aug 2022 - 17:11

97

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Finding all possible roots of the equation

Published on 23 Feb 2026 - 8:38

113

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is there a cubic or quartic approximation for these data points?

Published on 27 Mar 2026 - 20:30

191

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Factorization of $x^3-x-1$ over $\mathbb{F}_p$

Published on 20 Aug 2022 - 4:56

92

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Coloring faces , vertices ,edges of a cube using $3$ colors

Published on 21 Aug 2022 - 20:12

98

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Finding Lattice points on a Cubic

Published on 26 Mar 2026 - 16:57

106

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Real solutions to the depressed cubic equation

Published on 23 Aug 2022 - 23:19

226

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Solving Special Case of Cubic Equation

Published on 25 Aug 2022 - 20:36

138

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Let $r,s,t$ are roots of the cubic equation $x^3+bx^2+cx+d=f(x)$ then write down $D=((r-s)(r-t)(s-t))^2$ in terms of $b, c, d$

Published on 23 Feb 2026 - 8:42

94

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Unsure how to simplify

Published on 31 Aug 2022 - 12:17

78

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Is there an analytic solution to this set of cubic equations?

Published on 31 Aug 2022 - 21:15

21

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Is there a graphical intuition behind the Vieta's substitution for reduction of a depressed cubic to a quadratic?

Published on 15 Sep 2022 - 10:29

List Question

Find roots of a cubic equation

Prove that if $a+b\sqrt[3]{2} + c\sqrt[3]{4} = 0$ then $a=b=c=0$, where $a,b,c$ are rational numbers

Solving the system $x^3+y= 3x+4$, $2y^3+z = 6y+6$, $3z^3+x=9z+8$

Collinearity of the three roots of a cubic equation in the complex plane

Finding all possible roots of the equation

is there a cubic or quartic approximation for these data points?

Factorization of $x^3-x-1$ over $\mathbb{F}_p$

Coloring faces , vertices ,edges of a cube using $3$ colors

Finding Lattice points on a Cubic

Real solutions to the depressed cubic equation

Solving Special Case of Cubic Equation

Let $r,s,t$ are roots of the cubic equation $x^3+bx^2+cx+d=f(x)$ then write down $D=((r-s)(r-t)(s-t))^2$ in terms of $b, c, d$

Unsure how to simplify

Is there an analytic solution to this set of cubic equations?

Is there a graphical intuition behind the Vieta's substitution for reduction of a depressed cubic to a quadratic?

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