Question

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

score 80 · Answer 1 · 2020-03-04 19:48:14

80

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

Published on 04 Mar 2020 - 19:48

score 477 · Answer 2 · 2020-03-07 14:47:46

477

Views

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

Published on 07 Mar 2020 - 14:47

score 165 · Answer 3 · 2020-03-11 17:12:11

165

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How to solve this quartic?

Published on 11 Mar 2020 - 17:12

score 611 · Answer 4 · 2020-03-12 18:03:27

611

Views

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

Published on 12 Mar 2020 - 18:03

score 105 · Answer 5 · 2020-03-12 20:39:34

105

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

Published on 12 Mar 2020 - 20:39

score 1.1k · Answer 6 · 2020-03-14 19:34:30

1.1k

Views

How to use the quartic formula on this?

Published on 14 Mar 2020 - 19:34

score 148 · Answer 7 · 2020-03-18 00:23:15

148

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

Published on 18 Mar 2020 - 0:23

score 3.6k · Answer 8 · 2020-03-19 05:53:17

3.6k

Views

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 19 Mar 2020 - 5:53

score 69 · Answer 9 · 2020-03-23 05:50:51

69

Views

Quartic Formulation of tan(x) = x

Published on 23 Mar 2020 - 5:50

score 358 · Answer 10 · 2020-03-27 10:14:18

358

Views

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

Published on 27 Mar 2020 - 10:14

score 88 · Answer 11 · 2020-04-07 15:39:55

88

Views

Another way to solve the equation

Published on 07 Apr 2020 - 15:39

score 50 · Answer 12 · 2020-04-07 17:02:47

50

Views

Problem using similarity of triangles (I guess).

Published on 07 Apr 2020 - 17:02

score 78 · Answer 13 · 2020-04-10 08:12:43

78

Views

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 10 Apr 2020 - 8:12

score 262 · Answer 14 · 2020-04-13 17:03:25

262

Views

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

Published on 13 Apr 2020 - 17:03

score 1.3k · Answer 15 · 2020-04-15 16:22:09

1.3k

Views

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

Published on 15 Apr 2020 - 16:22

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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