Question

Why does $3x^4 + 16x^3 + 20x^2 - 9x - 18$ = $(x+3)(x+2)(\frac{-1 \mp \sqrt 37 }{6})3$?

score 81 · Answer 1 · 2026-03-26 01:04:39

81

Views

Why does $3x^4 + 16x^3 + 20x^2 - 9x - 18$ = $(x+3)(x+2)(\frac{-1 \mp \sqrt 37 }{6})3$?

Published on 26 Mar 2026 - 1:04

score 478 · Answer 2 · 2026-03-26 01:08:02

478

Views

Integrate $\int \frac{1}{1+x+x^4}dx$

Published on 26 Mar 2026 - 1:08

score 167 · Answer 3 · 2026-05-10 08:47:25

167

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How to solve this quartic?

Published on 10 May 2026 - 8:47

score 612 · Answer 4 · 2026-03-26 01:07:48

612

Views

Possible formula for $\sum_{} (\alpha\beta)^2$ and $\sum_{} \alpha\beta(\alpha+\beta)$

Published on 26 Mar 2026 - 1:07

score 106 · Answer 5 · 2026-03-26 01:03:06

106

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Is It Possible to Have Quartic Equation that Has Always Rational Root?

Published on 26 Mar 2026 - 1:03

score 1.1k · Answer 6 · 2026-03-26 01:00:23

1.1k

Views

How to use the quartic formula on this?

Published on 26 Mar 2026 - 1:00

score 149 · Answer 7 · 2026-03-26 01:03:09

149

Views

Solving Quartic Equation with a Coefficient of $1$ MB Space

Published on 26 Mar 2026 - 1:03

score 3.6k · Answer 8 · 2026-04-17 14:56:36

3.6k

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The equation $x^4-2x^3-3x^2+4x-1=0$ has four distinct real roots $x_1,x_2,x_3,x_4$ such that $x_1<x_2<x_3<x_4$ and product of two roots is unity.

Published on 17 Apr 2026 - 14:56

score 70 · Answer 9 · 2026-03-26 01:07:37

70

Views

Quartic Formulation of tan(x) = x

Published on 26 Mar 2026 - 1:07

score 359 · Answer 10 · 2026-03-26 01:04:35

359

Views

Number of real roots of $3x^4+6x^3+x^2+6x+3$

Published on 26 Mar 2026 - 1:04

score 90 · Answer 11 · 2026-05-10 17:58:35

90

Views

Another way to solve the equation

Published on 10 May 2026 - 17:58

score 51 · Answer 12 · 2026-03-28 08:38:06

51

Views

Problem using similarity of triangles (I guess).

Published on 28 Mar 2026 - 8:38

score 79 · Answer 13 · 2026-03-26 01:03:27

79

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Show that $x^4 + a_1 x^3 + a_2 x^2 + a_3 x + a_4=0$ has at least two solutions

Published on 26 Mar 2026 - 1:03

score 263 · Answer 14 · 2026-03-26 01:03:00

263

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Factorize $x^4 + x^3 - 3x^2 - 4x - 4$ showing all work

Published on 26 Mar 2026 - 1:03

score 1.3k · Answer 15 · 2026-03-26 01:07:54

1.3k

Views

Find complex roots of quartic function $(3z + 1)(4z + 1)(6z + 1)(12z + 1) = 2$

Published on 26 Mar 2026 - 1:07

List Question

Why does $3x^4 + 16x^3 + 20x^2 - 9x - 18$ = $(x+3)(x+2)(\frac{-1 \mp \sqrt 37 }{6})3$?

Integrate $\int \frac{1}{1+x+x^4}dx$

How to solve this quartic?

Possible formula for $\sum_{} (\alpha\beta)^2$ and $\sum_{} \alpha\beta(\alpha+\beta)$

Is It Possible to Have Quartic Equation that Has Always Rational Root?

How to use the quartic formula on this?

Solving Quartic Equation with a Coefficient of $1$ MB Space

The equation $x^4-2x^3-3x^2+4x-1=0$ has four distinct real roots $x_1,x_2,x_3,x_4$ such that $x_1<x_2<x_3<x_4$ and product of two roots is unity.

Quartic Formulation of tan(x) = x

Number of real roots of $3x^4+6x^3+x^2+6x+3$

Another way to solve the equation

Problem using similarity of triangles (I guess).

Show that $x^4 + a_1 x^3 + a_2 x^2 + a_3 x + a_4=0$ has at least two solutions

Factorize $x^4 + x^3 - 3x^2 - 4x - 4$ showing all work

Find complex roots of quartic function $(3z + 1)(4z + 1)(6z + 1)(12z + 1) = 2$

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