Question

$z^2+bz+1=0$, where $|b|\le2$. For which values of $b$ do the following hold?

score 164 · Answer 1 · 2026-04-15 21:34:58

164

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$z^2+bz+1=0$, where $|b|\le2$. For which values of $b$ do the following hold?

Published on 15 Apr 2026 - 21:34

score 380 · Answer 2 · 2026-04-17 02:24:46

380

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Irreducible polynomials of $\sqrt{3}+\sqrt{5}$ for $\mathbb{Q}(\sqrt{5})$ and $\mathbb{Q}(\sqrt{15})$

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score 2.9k · Answer 3 · 2026-04-16 12:17:31

2.9k

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score 49 · Answer 4 · 2026-04-11 17:12:36

49

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1.1k

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What is the sum of all the integral values of $a$ for which $\frac{ax^2 - 7x + 5}{5x^2 - 7x + a}$ takes all real values?

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score 271 · Answer 6 · 2026-03-28 16:44:46

271

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39

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77

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238

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59

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score 125 · Answer 13 · 2026-04-16 05:04:08

125

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97

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9.8k

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List Question

$z^2+bz+1=0$, where $|b|\le2$. For which values of $b$ do the following hold?

Irreducible polynomials of $\sqrt{3}+\sqrt{5}$ for $\mathbb{Q}(\sqrt{5})$ and $\mathbb{Q}(\sqrt{15})$

Irreducible polynomials in Z[X]

How do I solve this system of 2 equations?

What is the sum of all the integral values of $a$ for which $\frac{ax^2 - 7x + 5}{5x^2 - 7x + a}$ takes all real values?

Euclidean Algorithm and Quadratic Fields

Find co-ordinates of points where curve degree changes

Quadratic roots greater than 1 for $1-\alpha_1 x - \alpha_2 x^2$

Initial velocity of a ball which is thrown

Vertex of a parabola

Can someone tell me how this is a quadratic equation?

Vertical Motion vs. Time/Height Parabola Clarification

Why is $x^2+x$ the same as writing $(x+0.5)^2-0.25$?

Need help with ratio question?

The greatest revenue?

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