Question

Multiple roots in equation in $e^x = x^{nx}$

score 102 · Answer 1 · 2026-03-26 18:58:53

102

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Multiple roots in equation in $e^x = x^{nx}$

Published on 26 Mar 2026 - 18:58

score 92 · Answer 2 · 2024-01-26 00:36:49

92

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Factoring an irrational number into a cube

Published on 26 Jan 2024 - 0:36

score 89 · Answer 3 · 2026-03-29 10:08:53

89

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Find all integer values $x$, such that $\sqrt{x + \sqrt{x+ \ldots+\sqrt{x}}} < n$, for any number of radicals

Published on 29 Mar 2026 - 10:08

score 56 · Answer 4 · 2026-03-28 08:45:43

56

Views

Solving a quadratic, non-linear non-homogenous recurrence relation (Heron's algorithm for finding square roots.)

Published on 28 Mar 2026 - 8:45

score 36 · Answer 5 · 2026-04-01 18:14:31

36

Views

Fault in the proof that radical prime implies ideal is primary.

Published on 01 Apr 2026 - 18:14

score 89 · Answer 6 · 2024-02-11 15:25:01

89

Views

How can numerator and denominator of any variable-containing algebraic irrational term be uniquely defined in general?

Published on 11 Feb 2024 - 15:25

score 631 · Answer 7 · 2026-03-27 08:16:45

631

Views

$x^{x^{x^{x^{x^{...}}}}} = 2$. Why is $-\sqrt{2}$ not a solution?

Published on 27 Mar 2026 - 8:16

score 45 · Answer 8 · 2026-03-25 01:18:30

45

Views

Is the de Moivre's formula only intended to be used for unknown values of the input $z$, but not to fixed values of $z$?

Published on 25 Mar 2026 - 1:18

score 88 · Answer 9 · 2026-03-31 05:49:30

88

Views

show that an expression $E(x,y)$ does not depend on x

Published on 31 Mar 2026 - 5:49

score 25 · Answer 10 · 2024-02-21 11:37:59

25

Views

Find $\lim_{x\to\infty} x(\sqrt{(x^2+1)}-\sqrt[3]{(x^3+1)})$

Published on 21 Feb 2024 - 11:37

score 77 · Answer 11 · 2024-02-22 04:38:28

Compute the smallest possible integer $x$ such that $\lfloor \sqrt[8]{x}\rfloor < \lfloor \sqrt[7]{x}\rfloor < ... \lfloor \sqrt{x}\rfloor < x$

score 96 · Answer 12 · 2024-02-22 10:17:52

96

Views

Inequality with logarithms and radicals of order 4

Published on 22 Feb 2024 - 10:17

score 144 · Answer 13 · 2026-04-04 00:37:05

144

Views

Show some proofs in the set $M=\{a+x+\sqrt{a-x+x^2}|x\in N\}$

Published on 04 Apr 2026 - 0:37

score 149 · Answer 14 · 2026-04-02 19:13:23

149

Views

Can this proof that $\sqrt{2}$ is irrational be rewritten using only integers?

Published on 02 Apr 2026 - 19:13

score 90 · Answer 15 · 2024-02-24 16:45:23

90

Views

Show that $a+b+c$ divides at least one of the following numbers: $a^3+b^3-2c^3, b^3+c^3-2a^3, a^3+c^ 3-2b^3$

Published on 24 Feb 2024 - 16:45

List Question

Multiple roots in equation in $e^x = x^{nx}$

Factoring an irrational number into a cube

Find all integer values $x$, such that $\sqrt{x + \sqrt{x+ \ldots+\sqrt{x}}} < n$, for any number of radicals

Solving a quadratic, non-linear non-homogenous recurrence relation (Heron's algorithm for finding square roots.)

Fault in the proof that radical prime implies ideal is primary.

How can numerator and denominator of any variable-containing algebraic irrational term be uniquely defined in general?

$x^{x^{x^{x^{x^{...}}}}} = 2$. Why is $-\sqrt{2}$ not a solution?

Is the de Moivre's formula only intended to be used for unknown values of the input $z$, but not to fixed values of $z$?

show that an expression $E(x,y)$ does not depend on x

Find $\lim_{x\to\infty} x(\sqrt{(x^2+1)}-\sqrt[3]{(x^3+1)})$

Compute the smallest possible integer $x$ such that $\lfloor \sqrt[8]{x}\rfloor < \lfloor \sqrt[7]{x}\rfloor < ... \lfloor \sqrt{x}\rfloor < x$

Inequality with logarithms and radicals of order 4

Show some proofs in the set $M=\{a+x+\sqrt{a-x+x^2}|x\in N\}$

Can this proof that $\sqrt{2}$ is irrational be rewritten using only integers?

Show that $a+b+c$ divides at least one of the following numbers: $a^3+b^3-2c^3, b^3+c^3-2a^3, a^3+c^ 3-2b^3$

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