Question

Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends

score 1.7k · Answer 1 · 2026-03-25 21:23:02

1.7k

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Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends

Published on 25 Mar 2026 - 21:23

score 516 · Answer 2 · 2014-12-13 15:59:36

516

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Solve $x^7-5x^4-x^3+4x+1=0$ for $x$

Published on 13 Dec 2014 - 15:59

score 1.1k · Answer 3 · 2014-12-13 20:27:44

1.1k

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Finding the value of $y=b^2(3a^2+4ab+2b^2)$ if $a^2(2a^2+4ab+3b^2)=3$ and $a$ and $b$ are distinct zeros of $x^3-2x+c$

Published on 13 Dec 2014 - 20:27

score 224 · Answer 4 · 2026-03-30 03:20:19

224

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Rules for whether an $n$ degree polynomial is an $n$ degree power

Published on 30 Mar 2026 - 3:20

score 1.1k · Answer 5 · 2014-12-14 18:24:15

1.1k

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Determining existence of roots of a polynomial in the unit disk (possibly with Rouché's theorem?)

Published on 14 Dec 2014 - 18:24

score 263 · Answer 6 · 2014-12-16 08:32:37

263

Views

Real roots of an nth order polynomial

Published on 16 Dec 2014 - 8:32

score 326 · Answer 7 · 2014-12-17 16:03:44

326

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Prove that $ ax^2+bx+c=0 $ has at least one root in $(0,1)$ if $10a+12b+15c=0$

Published on 17 Dec 2014 - 16:03

score 70 · Answer 8 · 2014-12-18 09:55:20

70

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finding root of 3rd degree math equation

Published on 18 Dec 2014 - 9:55

score 331 · Answer 9 · 2014-12-19 18:52:34

331

Views

How to find all solutions of the equation $\sin x+\cos x=0$ which belong to $(-\pi, \pi)$?

Published on 19 Dec 2014 - 18:52

score 139 · Answer 10 · 2014-12-21 07:01:10

139

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Solve the equation $2x^2+5y^2+6xy-2x-4y+1=0$ in real numbers

Published on 21 Dec 2014 - 7:01

score 49 · Answer 11 · 2014-12-22 09:56:44

49

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Prove/disprove number of zeros inequality

Published on 22 Dec 2014 - 9:56

score 1.9k · Answer 12 · 2026-03-25 14:39:13

1.9k

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How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$

Published on 25 Mar 2026 - 14:39

score 722 · Answer 13 · 2014-12-22 14:39:21

722

Views

Sum of roots: Vieta's Formula

Published on 22 Dec 2014 - 14:39

score 159 · Answer 14 · 2026-04-01 13:30:34

159

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Replacing numbers by roots of quadratic

Published on 01 Apr 2026 - 13:30

score 59 · Answer 15 · 2014-12-23 19:57:14

59

Views

roots of functions involving several sines

Published on 23 Dec 2014 - 19:57

List Question

Something strange about $\sqrt{ 4+ \sqrt{ 4 + \sqrt{ 4-x}}}=x$ and its friends

Solve $x^7-5x^4-x^3+4x+1=0$ for $x$

Finding the value of $y=b^2(3a^2+4ab+2b^2)$ if $a^2(2a^2+4ab+3b^2)=3$ and $a$ and $b$ are distinct zeros of $x^3-2x+c$

Rules for whether an $n$ degree polynomial is an $n$ degree power

Determining existence of roots of a polynomial in the unit disk (possibly with Rouché's theorem?)

Real roots of an nth order polynomial

Prove that $ ax^2+bx+c=0 $ has at least one root in $(0,1)$ if $10a+12b+15c=0$

finding root of 3rd degree math equation

How to find all solutions of the equation $\sin x+\cos x=0$ which belong to $(-\pi, \pi)$?

Solve the equation $2x^2+5y^2+6xy-2x-4y+1=0$ in real numbers

Prove/disprove number of zeros inequality

How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$

Sum of roots: Vieta's Formula

Replacing numbers by roots of quadratic

roots of functions involving several sines

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