Question

Let $F(x)=x^4-bx^3-11x^2+4(b+1)x+a$.Find $a,b$

score 122 · Answer 1 · 2026-03-25 11:07:02

122

Views

Let $F(x)=x^4-bx^3-11x^2+4(b+1)x+a$.Find $a,b$

Published on 25 Mar 2026 - 11:07

score 1.2k · Answer 2 · 2018-10-18 02:20:57

1.2k

Views

Wrong solution for solving $ 3x^2 - 6x - 9 = 0 $

Published on 18 Oct 2018 - 2:20

score 80 · Answer 3 · 2018-10-18 02:38:27

80

Views

Find exhaustive range of $k$ such that $f(x)=\frac{x-1}{k-x^2}$ never belongs to $\left[-1 \:\: \frac{-1}{3}\right]$

Published on 18 Oct 2018 - 2:38

score 139 · Answer 4 · 2018-10-18 04:03:58

139

Views

Why this $12b^2<49ac< \frac{49}{4}b^2$ inequality given ? What is the use of it?

Published on 18 Oct 2018 - 4:03

score 112 · Answer 5 · 2026-03-24 20:32:02

112

Views

$4ac-b^2\leq 3a(a+b+c)$ in quadratic

Published on 24 Mar 2026 - 20:32

score 23 · Answer 6 · 2026-03-25 14:18:32

23

Views

Injectivity parameter

Published on 25 Mar 2026 - 14:18

score 63 · Answer 7 · 2018-10-19 14:52:27

63

Views

Solving a system of equations for $x, y,$ and $T$

Published on 19 Oct 2018 - 14:52

score 68 · Answer 8 · 2026-03-26 22:15:00

68

Views

Two quadratic functions with simillar coefficients and a square of their 'b' coefficient

Published on 26 Mar 2026 - 22:15

score 27 · Answer 9 · 2018-10-19 16:55:33

27

Views

Given that f(x) is a quadratic function and that f(x) is only positive when x lies between -1 and 3, find f(x) if f(-2) = -10.

Published on 19 Oct 2018 - 16:55

score 122 · Answer 10 · 2018-10-20 18:39:10

122

Views

Exactly one root of the quadratic expression is in given interval.

Published on 20 Oct 2018 - 18:39

score 322 · Answer 11 · 2018-10-21 08:22:53

322

Views

Prove that $T_n = 3n^2 -60n + 301$ is positive for every $n$

Published on 21 Oct 2018 - 8:22

score 107 · Answer 12 · 2018-10-21 20:45:11

107

Views

How can I write $\frac{1}{x+2} - \frac{4}{x} - 1 = 0$ as $x^{2} + 5x + 8 = 0$?

Published on 21 Oct 2018 - 20:45

score 56 · Answer 13 · 2018-10-22 09:10:53

56

Views

Quadratic Function Definiton

Published on 22 Oct 2018 - 9:10

score 145 · Answer 14 · 2026-03-25 09:23:53

145

Views

Differences In Explanations of Quadratic Functions/Forms

Published on 25 Mar 2026 - 9:23

score 22 · Answer 15 · 2018-10-23 17:56:04

22

Views

Irrational roots of an equation

Published on 23 Oct 2018 - 17:56

List Question

Let $F(x)=x^4-bx^3-11x^2+4(b+1)x+a$.Find $a,b$

Wrong solution for solving $ 3x^2 - 6x - 9 = 0 $

Find exhaustive range of $k$ such that $f(x)=\frac{x-1}{k-x^2}$ never belongs to $\left[-1 \:\: \frac{-1}{3}\right]$

Why this $12b^2<49ac< \frac{49}{4}b^2$ inequality given ? What is the use of it?

$4ac-b^2\leq 3a(a+b+c)$ in quadratic

Injectivity parameter

Solving a system of equations for $x, y,$ and $T$

Two quadratic functions with simillar coefficients and a square of their 'b' coefficient

Given that f(x) is a quadratic function and that f(x) is only positive when x lies between -1 and 3, find f(x) if f(-2) = -10.

Exactly one root of the quadratic expression is in given interval.

Prove that $T_n = 3n^2 -60n + 301$ is positive for every $n$

How can I write $\frac{1}{x+2} - \frac{4}{x} - 1 = 0$ as $x^{2} + 5x + 8 = 0$?

Quadratic Function Definiton

Differences In Explanations of Quadratic Functions/Forms

Irrational roots of an equation

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