Question

Prove that $\cos(\pi/7)$ is root of equation $8x^3-4x^2-4x+1=0$

score 5.1k · Answer 1 · 2026-04-14 05:21:48

5.1k

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Prove that $\cos(\pi/7)$ is root of equation $8x^3-4x^2-4x+1=0$

Published on 14 Apr 2026 - 5:21

score 53 · Answer 2 · 2026-04-09 09:05:32

53

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Method of finding roots of this equation

Published on 09 Apr 2026 - 9:05

score 71 · Answer 3 · 2026-04-13 02:34:44

71

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Question to Satisfy a condition for all non-real roots for a polynomial equation by its Derivatives

Published on 13 Apr 2026 - 2:34

score 77 · Answer 4 · 2026-04-09 21:11:24

77

Views

What actually complex roots are?

Published on 09 Apr 2026 - 21:11

score 66 · Answer 5 · 2026-04-16 15:56:38

66

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If $\sqrt{2x-5} + \sqrt{2x} = 7$, find $\sqrt{2x-5} - \sqrt{2x}$

Published on 16 Apr 2026 - 15:56

score 168 · Answer 6 · 2026-04-14 22:21:44

168

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How to solve for $x$ algebraically, given that $x^2 = 4- \sqrt{12}$

Published on 14 Apr 2026 - 22:21

score 52 · Answer 7 · 2026-04-16 01:47:55

52

Views

Zero's and fixpoints of $ f (\exp(b z)) $

Published on 16 Apr 2026 - 1:47

score 1k · Answer 8 · 2026-04-17 02:13:51

1k

Views

Why does this method for finding cube roots work?

Published on 17 Apr 2026 - 2:13

score 1.9k · Answer 9 · 2026-04-17 01:51:43

1.9k

Views

How to smoothly bound Newton's iteration within known interval (not the interval Newton method)

Published on 17 Apr 2026 - 1:51

score 96 · Answer 10 · 2026-04-10 07:40:22

96

Views

Can Squeeze Thm be used to prove existence of a root?

Published on 10 Apr 2026 - 7:40

score 239 · Answer 11 · 2026-04-17 12:59:11

239

Views

Asymptotic to a sequence of algebraic numbers.

Published on 17 Apr 2026 - 12:59

score 232 · Answer 12 · 2026-04-12 03:04:28

232

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Can both roots of the equation $2x^2 - kx + k - 2 = 0$ , where k is a constant, be negative?

Published on 12 Apr 2026 - 3:04

score 85 · Answer 13 · 2026-04-14 19:09:36

85

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Show that $α - iβ$ is also a root for $y'' + a_1y' + a_2y = 0$.

Published on 14 Apr 2026 - 19:09

score 192 · Answer 14 · 2026-04-15 20:50:15

192

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Show that every solution tends to zero as $x→∞$ if $a_1>0$ for $y''+a_1y'+a_2y=0$.

Published on 15 Apr 2026 - 20:50

score 342 · Answer 15 · 2026-04-10 00:32:31

342

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Two-term asymptotic approximation for roots of an equation

Published on 10 Apr 2026 - 0:32

List Question

Prove that $\cos(\pi/7)$ is root of equation $8x^3-4x^2-4x+1=0$

Method of finding roots of this equation

Question to Satisfy a condition for all non-real roots for a polynomial equation by its Derivatives

What actually complex roots are?

If $\sqrt{2x-5} + \sqrt{2x} = 7$, find $\sqrt{2x-5} - \sqrt{2x}$

How to solve for $x$ algebraically, given that $x^2 = 4- \sqrt{12}$

Zero's and fixpoints of $ f (\exp(b z)) $

Why does this method for finding cube roots work?

How to smoothly bound Newton's iteration within known interval (not the interval Newton method)

Can Squeeze Thm be used to prove existence of a root?

Asymptotic to a sequence of algebraic numbers.

Can both roots of the equation $2x^2 - kx + k - 2 = 0$ , where k is a constant, be negative?

Show that $α - iβ$ is also a root for $y'' + a_1y' + a_2y = 0$.

Show that every solution tends to zero as $x→∞$ if $a_1>0$ for $y''+a_1y'+a_2y=0$.

Two-term asymptotic approximation for roots of an equation

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