Question

Find the limits between which $a$ must lie in order that $\frac{ax^2-7x+5}{5x^2-7x+a}$ can take all real values

score 216 · Answer 1 · 2020-10-17 20:25:00

216

Views

Find the limits between which $a$ must lie in order that $\frac{ax^2-7x+5}{5x^2-7x+a}$ can take all real values

Published on 17 Oct 2020 - 20:25

score 187 · Answer 2 · 2020-10-19 17:10:39

187

Views

Finding $k$ such that $x^2 + x + 10 = k(k-1)$ has one positive integer root

Published on 19 Oct 2020 - 17:10

score 128 · Answer 3 · 2020-10-23 17:09:16

128

Views

Finding $m$ given that $9m^2 + 25m + 26$ is a product of consecutive integers

Published on 23 Oct 2020 - 17:09

score 53 · Answer 4 · 2020-10-25 19:05:09

53

Views

Finding $m$ given that $(m^2 - 1)x^2 - 3(3m - 1)x + 18 = 0$

Published on 25 Oct 2020 - 19:05

score 822 · Answer 5 · 2020-10-25 21:59:55

822

Views

How do you calculate discriminants of higher degree polynomials?

Published on 25 Oct 2020 - 21:59

score 194 · Answer 6 · 2020-10-30 22:50:25

194

Views

Why are the roots of this recursive defined polynomial bound by the roots of the discriminant of the characteristic polynomial?

Published on 30 Oct 2020 - 22:50

score 95 · Answer 7 · 2020-11-10 01:12:53

95

Views

Discriminant of the minimal polynomial in simple extension

Published on 10 Nov 2020 - 1:12

score 217 · Answer 8 · 2020-11-13 13:03:17

217

Views

Discriminant of integral basis

Published on 13 Nov 2020 - 13:03

score 49 · Answer 9 · 2026-02-23 12:02:58

49

Views

Finding the formula for the discriminate of an algebraic integer

Published on 23 Feb 2026 - 12:02

score 4.4k · Answer 10 · 2020-11-26 11:05:35

4.4k

Views

Understanding the term "double roots" of a quadratic equation

Published on 26 Nov 2020 - 11:05

score 344 · Answer 11 · 2020-12-10 12:04:27

344

Views

Range of quadratic function using discriminant

Published on 10 Dec 2020 - 12:04

score 69 · Answer 12 · 2020-12-13 19:17:01

69

Views

Alternate way to solve this algebra problem?

Published on 13 Dec 2020 - 19:17

score 168 · Answer 13 · 2026-02-23 09:03:42

168

Views

What is the geometric intuition for the Sylvester matrix?

Published on 23 Feb 2026 - 9:03

score 48 · Answer 14 · 2020-12-22 07:44:21

48

Views

Given two natural numbers $a,b$ so that $ab+\left(a+1\right)\left(b+1\right)=2n=fixed,$ find $a\left(a\leq b\right)$ such that $b-a$ at the least.

Published on 22 Dec 2020 - 7:44

score 175 · Answer 15 · 2020-12-31 22:51:25

175

Views

Solving for an unknown value in inequalities

Published on 31 Dec 2020 - 22:51

List Question

Find the limits between which $a$ must lie in order that $\frac{ax^2-7x+5}{5x^2-7x+a}$ can take all real values

Finding $k$ such that $x^2 + x + 10 = k(k-1)$ has one positive integer root

Finding $m$ given that $9m^2 + 25m + 26$ is a product of consecutive integers

Finding $m$ given that $(m^2 - 1)x^2 - 3(3m - 1)x + 18 = 0$

How do you calculate discriminants of higher degree polynomials?

Why are the roots of this recursive defined polynomial bound by the roots of the discriminant of the characteristic polynomial?

Discriminant of the minimal polynomial in simple extension

Discriminant of integral basis

Finding the formula for the discriminate of an algebraic integer

Understanding the term "double roots" of a quadratic equation

Range of quadratic function using discriminant

Alternate way to solve this algebra problem?

What is the geometric intuition for the Sylvester matrix?

Given two natural numbers $a,b$ so that $ab+\left(a+1\right)\left(b+1\right)=2n=fixed,$ find $a\left(a\leq b\right)$ such that $b-a$ at the least.

Solving for an unknown value in inequalities

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