Question

Vieta's Formula and Polynomials

score 125 · Answer 1 · 2023-04-24 12:38:02

125

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Vieta's Formula and Polynomials

Published on 24 Apr 2023 - 12:38

score 79 · Answer 2 · 2026-03-25 06:03:16

79

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Involution on $2\times 2$ matrices

Published on 25 Mar 2026 - 6:03

score 39 · Answer 3 · 2026-03-25 21:00:06

39

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Non-constant cubic spline interval

Published on 25 Mar 2026 - 21:00

score 187 · Answer 4 · 2023-05-04 03:51:33

187

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Rational solutions for $x^3+y^3=1$ where both x and y are non-negative

Published on 04 May 2023 - 3:51

score 83 · Answer 5 · 2023-05-06 18:39:27

83

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Solving Cubic Equation using Cardano's method: $x^3-4x+1=0$

Published on 06 May 2023 - 18:39

score 62 · Answer 6 · 2026-03-25 02:06:38

62

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Involution on monic cubic polynomials related to nesting/denesting of cubic radicals

Published on 25 Mar 2026 - 2:06

score 42 · Answer 7 · 2026-03-24 22:37:04

42

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Order $3$ linear transforms invariating a binary cubic form

Published on 24 Mar 2026 - 22:37

score 258 · Answer 8 · 2023-05-13 00:37:46

258

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Why doesn't simultaneous equations work to find co-efficients of a cubic that passes through four points?

Published on 13 May 2023 - 0:37

score 369 · Answer 9 · 2026-03-25 03:54:27

369

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Find all real numbers $a$ for equation $x^3 + ax^2 + 51x + 2023=0$, has two equal roots.

Published on 25 Mar 2026 - 3:54

score 365 · Answer 10 · 2023-05-17 02:14:41

365

Views

Find sum of all integral values of $r$ such that all roots of the equation $x^3-(r-1)x^2-11x+4r=0$ are also integers

Published on 17 May 2023 - 2:14

score 128 · Answer 11 · 2023-05-31 10:38:48

128

Views

Condition for the existence of positive solution to cubic equation

Published on 31 May 2023 - 10:38

score 69 · Answer 12 · 2023-06-03 10:32:51

69

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Prove $\lim_{n\to\infty}\int_0^{a} \left(\sqrt{2n/\pi-x^2}-\sqrt{2n/\pi-a^2}\right)dx=1/6$ where $a$ is the largest real root of $4x^6+x^2=2n/\pi$.

Published on 03 Jun 2023 - 10:32

score 73 · Answer 13 · 2023-06-07 16:31:44

73

Views

Classification of curves passing through 7 points. (Hartshorne III ex 10.7)

Published on 07 Jun 2023 - 16:31

score 160 · Answer 14 · 2026-02-23 06:38:01

160

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Is there any faster way to factor $x^3-3x+2$?

Published on 23 Feb 2026 - 6:38

score 75 · Answer 15 · 2023-06-13 10:57:39

75

Views

Best way to solve $\frac{x^3+3}{x^2+1}>\frac{x^3-3}{x^2-1}$

Published on 13 Jun 2023 - 10:57

List Question

Vieta's Formula and Polynomials

Involution on $2\times 2$ matrices

Non-constant cubic spline interval

Rational solutions for $x^3+y^3=1$ where both x and y are non-negative

Solving Cubic Equation using Cardano's method: $x^3-4x+1=0$

Involution on monic cubic polynomials related to nesting/denesting of cubic radicals

Order $3$ linear transforms invariating a binary cubic form

Why doesn't simultaneous equations work to find co-efficients of a cubic that passes through four points?

Find all real numbers $a$ for equation $x^3 + ax^2 + 51x + 2023=0$, has two equal roots.

Find sum of all integral values of $r$ such that all roots of the equation $x^3-(r-1)x^2-11x+4r=0$ are also integers

Condition for the existence of positive solution to cubic equation

Prove $\lim_{n\to\infty}\int_0^{a} \left(\sqrt{2n/\pi-x^2}-\sqrt{2n/\pi-a^2}\right)dx=1/6$ where $a$ is the largest real root of $4x^6+x^2=2n/\pi$.

Classification of curves passing through 7 points. (Hartshorne III ex 10.7)

Is there any faster way to factor $x^3-3x+2$?

Best way to solve $\frac{x^3+3}{x^2+1}>\frac{x^3-3}{x^2-1}$

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