List questions from cubics

Published on 22 Mar 2026 - 13:05

160

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Cubic surfaces and 27 lines

Published on 22 Mar 2026 - 8:57

695

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Polynomial Equation Problem with Complex Roots

Published on 17 Mar 2026 - 10:07

183

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Cubic Discriminant

Published on 19 Mar 2026 - 22:40

1.4k

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Is it always possible to rearrange an equation desirably?

Published on 21 Mar 2026 - 16:08

692

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Form an equation whose roots are $(a-b)^2,(b-c)^2,(c-a)^2.$

Published on 22 Mar 2026 - 5:13

395

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if $x^3 + px^2+qx+r = 0$ has three real roots, show that $p^2 \ge 3q$

Published on 21 Mar 2026 - 19:17

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The complex equation $x^3 = 9 + 46i$ has a solution of the form $a + bi$ where $a,b\in \mathbb Z$. Find the value of $a^3 + b^3$

Published on 17 Mar 2026 - 12:16

812

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Roots of $z^3 + 3iz^2 + 3z + i = 0$?

Published on 24 Mar 2026 - 0:22

467

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If the roots of the cubic equation $ax^3+bx^2+cx+d=0$ are equal, can one then establish a relationship between $a, b, c, d$?

Published on 17 Mar 2026 - 20:00

321

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Cubic Equation With Complex Roots

Published on 20 Mar 2026 - 12:16

90

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How to find $\operatorname{Gal}(S/\mathbb{Q})$

Published on 20 Mar 2026 - 6:37

102

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Stuck on how to factor $2x^3+3x^2-8x+3$ without trial/error

Published on 17 Mar 2026 - 22:19

183

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Probability that the sum of roots is negative

Published on 17 Mar 2026 - 19:31

105

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Prove that this formulae equals 3

Published on 17 Mar 2026 - 14:27

List Question

Roots of a complex equation

Cubic surfaces and 27 lines

Polynomial Equation Problem with Complex Roots

Cubic Discriminant

Is it always possible to rearrange an equation desirably?

Form an equation whose roots are $(a-b)^2,(b-c)^2,(c-a)^2.$

if $x^3 + px^2+qx+r = 0$ has three real roots, show that $p^2 \ge 3q$

The complex equation $x^3 = 9 + 46i$ has a solution of the form $a + bi$ where $a,b\in \mathbb Z$. Find the value of $a^3 + b^3$

Roots of $z^3 + 3iz^2 + 3z + i = 0$?

If the roots of the cubic equation $ax^3+bx^2+cx+d=0$ are equal, can one then establish a relationship between $a, b, c, d$?

Cubic Equation With Complex Roots

How to find $\operatorname{Gal}(S/\mathbb{Q})$

Stuck on how to factor $2x^3+3x^2-8x+3$ without trial/error

Probability that the sum of roots is negative

Prove that this formulae equals 3

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