Question

Where does this answer come from? $2x^2+4x+c-1=0$

score 63 · Answer 1 · 2019-02-24 09:37:38

63

Views

Where does this answer come from? $2x^2+4x+c-1=0$

Published on 24 Feb 2019 - 9:37

score 202 · Answer 2 · 2019-02-26 00:17:24

202

Views

Understanding the $p$-part of the discriminant of a totally real number field with a single prime above $p$

Published on 26 Feb 2019 - 0:17

score 53 · Answer 3 · 2019-03-11 19:48:50

53

Views

Understanding a solution for the fact that $\mathcal{O}_{\mathbb{Q}(\sqrt[3]{2})}=\mathbb{Z}[\sqrt[3]{2}]$

Published on 11 Mar 2019 - 19:48

score 100 · Answer 4 · 2019-03-12 17:41:19

100

Views

Solving simple quadratic - Wolfram Alpha confusion?

Published on 12 Mar 2019 - 17:41

score 100 · Answer 5 · 2019-03-29 23:16:52

100

Views

Show that a matrix is diagonalizable for all values of a

Published on 29 Mar 2019 - 23:16

score 255 · Answer 6 · 2019-04-07 08:43:51

255

Views

$\Bbb Q(\sqrt{D_f})$ is an intermediate field with degree of extension $2$

Published on 07 Apr 2019 - 8:43

score 1.2k · Answer 7 · 2019-04-13 23:57:10

1.2k

Views

Relationship between Discriminant and coefficients of a Quadratic function

Published on 13 Apr 2019 - 23:57

score 393 · Answer 8 · 2019-04-17 08:21:50

393

Views

How to find $k$ such that the line $y=x-2-k$ is tangent to the circle given by $x^2+(y+2)^2=4$?

Published on 17 Apr 2019 - 8:21

score 176 · Answer 9 · 2019-04-24 12:27:56

176

Views

Given three non-negative numbers $a,b,c$ so that $a+b+c=3$. Prove that $\prod\limits_{cyc}(\!2+ a^{2}\!)+abc\geqq 28$ .

Published on 24 Apr 2019 - 12:27

score 202 · Answer 10 · 2019-05-10 10:27:01

202

Views

Given three positive numbers $a,b,c$. Prove that $\prod\limits_{sym}(\!a+\frac{1}{a}\!)\geqq\frac{4}{3}\sum\limits_{sym}\frac{b+c}{a}$ .

Published on 10 May 2019 - 10:27

score 287 · Answer 11 · 2019-05-18 14:04:35

287

Views

What meaning has the derivative of the Discriminant of polynomials

Published on 18 May 2019 - 14:04

score 68 · Answer 12 · 2019-05-23 12:45:25

68

Views

How many critical points are there in $(\,x- 1\,)(\,x- 2\,)\,...\,(\,x- 2020\,)$?

Published on 23 May 2019 - 12:45

score 106 · Answer 13 · 2019-05-24 23:30:23

Prove: $\frac{1}{x-a}+\frac{1}{x-b}+\frac{1}{x}=0$ has a real root between $\frac13a$ and $\frac23a$, and one between $-\frac23b$ and $-\frac13b$

score 2.2k · Answer 14 · 2019-05-25 23:14:23

2.2k

Views

Using the discriminant to find the equation of tangents to a circle

Published on 25 May 2019 - 23:14

score 71 · Answer 15 · 2019-05-28 14:44:51

71

Views

$f(x)=e^x(x^2-5x+7)$.Prove $f^{(n)}(x)$ has 2 roots for any $n\in\mathbb N^*$. $f^{(n)}(x)$ means derivative of order n.

Published on 28 May 2019 - 14:44

List Question

Where does this answer come from? $2x^2+4x+c-1=0$

Understanding the $p$-part of the discriminant of a totally real number field with a single prime above $p$

Understanding a solution for the fact that $\mathcal{O}_{\mathbb{Q}(\sqrt[3]{2})}=\mathbb{Z}[\sqrt[3]{2}]$

Solving simple quadratic - Wolfram Alpha confusion?

Show that a matrix is diagonalizable for all values of a

$\Bbb Q(\sqrt{D_f})$ is an intermediate field with degree of extension $2$

Relationship between Discriminant and coefficients of a Quadratic function

How to find $k$ such that the line $y=x-2-k$ is tangent to the circle given by $x^2+(y+2)^2=4$?

Given three non-negative numbers $a,b,c$ so that $a+b+c=3$. Prove that $\prod\limits_{cyc}(\!2+ a^{2}\!)+abc\geqq 28$ .

Given three positive numbers $a,b,c$. Prove that $\prod\limits_{sym}(\!a+\frac{1}{a}\!)\geqq\frac{4}{3}\sum\limits_{sym}\frac{b+c}{a}$ .

What meaning has the derivative of the Discriminant of polynomials

How many critical points are there in $(\,x- 1\,)(\,x- 2\,)\,...\,(\,x- 2020\,)$?

Prove: $\frac{1}{x-a}+\frac{1}{x-b}+\frac{1}{x}=0$ has a real root between $\frac13a$ and $\frac23a$, and one between $-\frac23b$ and $-\frac13b$

Using the discriminant to find the equation of tangents to a circle

$f(x)=e^x(x^2-5x+7)$.Prove $f^{(n)}(x)$ has 2 roots for any $n\in\mathbb N^*$. $f^{(n)}(x)$ means derivative of order n.

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