Question

how one can prove that real roots, which look non-real when using Cardano's formula.

score 49 · Answer 1 · 2020-01-03 21:24:41

49

Views

how one can prove that real roots, which look non-real when using Cardano's formula.

Published on 03 Jan 2020 - 21:24

score 28 · Answer 2 · 2020-01-06 20:26:47

28

Views

Multiple zeros and finding values for a specific number of zeros of a cubic function

Published on 06 Jan 2020 - 20:26

score 318 · Answer 3 · 2020-01-09 07:39:20

318

Views

Can we use Cardano's method if the coefficients of the equation is not real?

Published on 09 Jan 2020 - 7:39

score 124 · Answer 4 · 2020-01-09 15:39:20

124

Views

Given $x \in \mathbb R$ such that $8x^3 - 4x^2 - 4x + 1 = 0$. Find all rationals $p, q, r$ such that $px + q(2x^2 - 1) + r(4x^3 - 3x) = -4$.

Published on 09 Jan 2020 - 15:39

score 288 · Answer 5 · 2020-01-13 01:22:29

288

Views

Find cubic function whose graph has two horizontal tangents

Published on 13 Jan 2020 - 1:22

score 355 · Answer 6 · 2020-01-13 04:38:57

355

Views

Factoring $3n^3 - 39n^2 + 360n + 20$

Published on 13 Jan 2020 - 4:38

score 527 · Answer 7 · 2026-03-26 02:49:00

527

Views

Prove that $\sqrt[3]{18 + \sqrt{325}} + \sqrt[3]{18 - \sqrt{325}} = 3$ without using Cardano's formula. (Hint, what is $(3\pm \sqrt{13})^3$

Published on 26 Mar 2026 - 2:49

score 374 · Answer 8 · 2020-01-15 07:49:39

374

Views

Amount of real and complex roots of a polynomial?

Published on 15 Jan 2020 - 7:49

score 213 · Answer 9 · 2020-01-18 21:27:11

213

Views

Solving a Cubic Equation with Linear Systems?

Published on 18 Jan 2020 - 21:27

score 212 · Answer 10 · 2026-03-26 09:49:20

212

Views

Asymptotic expansion with repeated roots

Published on 26 Mar 2026 - 9:49

score 40 · Answer 11 · 2020-01-25 18:27:03

40

Views

Finding fix points with two curves given

Published on 25 Jan 2020 - 18:27

score 24 · Answer 12 · 2020-01-26 19:58:09

24

Views

Why is my answer to this cube measurement problem correct when it doesn't match the real answer?

Published on 26 Jan 2020 - 19:58

score 114 · Answer 13 · 2020-01-27 02:24:03

114

Views

Prove that if $a\nmid b$, $ax^3+bx+(b+a)=0$ has no natural number solutions

Published on 27 Jan 2020 - 2:24

score 653 · Answer 14 · 2020-02-01 19:22:29

653

Views

Cubic equation with three distinct roots

Published on 01 Feb 2020 - 19:22

score 1.1k · Answer 15 · 2020-02-05 18:29:23

1.1k

Views

How do you solve a quadratic equation containing a negative power?

Published on 05 Feb 2020 - 18:29

List Question

how one can prove that real roots, which look non-real when using Cardano's formula.

Multiple zeros and finding values for a specific number of zeros of a cubic function

Can we use Cardano's method if the coefficients of the equation is not real?

Given $x \in \mathbb R$ such that $8x^3 - 4x^2 - 4x + 1 = 0$. Find all rationals $p, q, r$ such that $px + q(2x^2 - 1) + r(4x^3 - 3x) = -4$.

Find cubic function whose graph has two horizontal tangents

Factoring $3n^3 - 39n^2 + 360n + 20$

Prove that $\sqrt[3]{18 + \sqrt{325}} + \sqrt[3]{18 - \sqrt{325}} = 3$ without using Cardano's formula. (Hint, what is $(3\pm \sqrt{13})^3$

Amount of real and complex roots of a polynomial?

Solving a Cubic Equation with Linear Systems?

Asymptotic expansion with repeated roots

Finding fix points with two curves given

Why is my answer to this cube measurement problem correct when it doesn't match the real answer?

Prove that if $a\nmid b$, $ax^3+bx+(b+a)=0$ has no natural number solutions

Cubic equation with three distinct roots

How do you solve a quadratic equation containing a negative power?

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