Question

The complement of a zero-set of a polynomial is dense

score 878 · Answer 1 · 2026-04-13 11:36:16

878

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The complement of a zero-set of a polynomial is dense

Published on 13 Apr 2026 - 11:36

score 93 · Answer 2 · 2026-04-12 20:50:55

93

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Does the word 'root' in the context of 'function roots' and 'nth roots' have any relation?

Published on 12 Apr 2026 - 20:50

score 78 · Answer 3 · 2016-11-24 19:14:26

78

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Prove that $\frac{x^3}{3}-\sin x-x=0$ has only one positive root?

Published on 24 Nov 2016 - 19:14

score 178 · Answer 4 · 2026-04-09 02:19:11

178

Views

Slowly changing polynomial equations

Published on 09 Apr 2026 - 2:19

score 100 · Answer 5 · 2026-04-11 07:34:13

100

Views

Finding the zeroes of the function.

Published on 11 Apr 2026 - 7:34

score 173 · Answer 6 · 2026-04-02 22:11:36

173

Views

Verify my answer: Could $f(x) = 2x^4-7x^3-13x^2+68x-30$ have a rational zero between $5$ and $6$?

Published on 02 Apr 2026 - 22:11

score 134 · Answer 7 · 2026-04-12 23:42:56

134

Views

Calculating roots of a perturbed polynomial

Published on 12 Apr 2026 - 23:42

score 3.6k · Answer 8 · 2026-04-09 08:43:47

3.6k

Views

Combining the bisection method with Newton's method

Published on 09 Apr 2026 - 8:43

score 201 · Answer 9 · 2026-04-05 19:39:18

201

Views

Find the value of $a$ for which $f(x)\lt3\;\;\forall x\in\Bbb{R^+}$ and $f(x)\gt3$ for at least one $x\in\Bbb{R}^-$

Published on 05 Apr 2026 - 19:39

score 322 · Answer 10 · 2026-04-09 03:45:03

322

Views

Is the Newton-Maehly method for finding roots of a polynomial stable?

Published on 09 Apr 2026 - 3:45

score 322 · Answer 11 · 2026-03-26 08:00:48

322

Views

How to solve $\sqrt{6}\cdot x^4 - (\sqrt{3}+\frac{3}{2}\sqrt{2})x^2 +\frac{3}{2} = 0 $

Published on 26 Mar 2026 - 8:00

score 239 · Answer 12 · 2016-11-27 07:41:56

239

Views

polynomial equation $x^6+2x^5-5x^4+9x^3-5x^2+2x+1=0$ in terms of radicals

Published on 27 Nov 2016 - 7:41

score 70 · Answer 13 · 2026-03-25 23:36:09

70

Views

Find an equation with the given roots

Published on 25 Mar 2026 - 23:36

score 1.9k · Answer 14 · 2016-11-27 20:59:52

1.9k

Views

Why are the roots of $x^3+2=0 $: $-2^{1/3}, (-2)^{1/3}$, and $-(-1)^{2/3} 2^{1/3}$?

Published on 27 Nov 2016 - 20:59

score 39 · Answer 15 · 2026-04-05 19:38:14

39

Views

Why are both roots real if and only if $p^2 - 4q \ge 0$?

Published on 05 Apr 2026 - 19:38

List Question

The complement of a zero-set of a polynomial is dense

Does the word 'root' in the context of 'function roots' and 'nth roots' have any relation?

Prove that $\frac{x^3}{3}-\sin x-x=0$ has only one positive root?

Slowly changing polynomial equations

Finding the zeroes of the function.

Verify my answer: Could $f(x) = 2x^4-7x^3-13x^2+68x-30$ have a rational zero between $5$ and $6$?

Calculating roots of a perturbed polynomial

Combining the bisection method with Newton's method

Find the value of $a$ for which $f(x)\lt3\;\;\forall x\in\Bbb{R^+}$ and $f(x)\gt3$ for at least one $x\in\Bbb{R}^-$

Is the Newton-Maehly method for finding roots of a polynomial stable?

How to solve $\sqrt{6}\cdot x^4 - (\sqrt{3}+\frac{3}{2}\sqrt{2})x^2 +\frac{3}{2} = 0 $

polynomial equation $x^6+2x^5-5x^4+9x^3-5x^2+2x+1=0$ in terms of radicals

Find an equation with the given roots

Why are the roots of $x^3+2=0 $: $-2^{1/3}, (-2)^{1/3}$, and $-(-1)^{2/3} 2^{1/3}$?

Why are both roots real if and only if $p^2 - 4q \ge 0$?

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