Question

Is $-1$ sum of squares in the field $\mathbb{Q(\beta)}$ where $\beta = 2^{1/3}e^{2\pi i /3}$

score 262 · Answer 1 · 2026-02-23 01:23:03

262

Views

Is $-1$ sum of squares in the field $\mathbb{Q(\beta)}$ where $\beta = 2^{1/3}e^{2\pi i /3}$

Published on 23 Feb 2026 - 1:23

score 71 · Answer 2 · 2026-02-23 01:25:38

71

Views

Equations of Value Unknown interest rate

Published on 23 Feb 2026 - 1:25

score 23 · Answer 3 · 2026-02-23 01:25:36

23

Views

Does this equation imply separation of variables?

Published on 23 Feb 2026 - 1:25

score 145 · Answer 4 · 2026-02-23 01:23:00

145

Views

Solving $x^2 y''(x) + 6x y'(x) - 9y(x) =0$ with similar techniques that are used to solve algebraic equations

Published on 23 Feb 2026 - 1:23

score 87 · Answer 5 · 2026-02-23 01:22:39

87

Views

approximating irrational roots of algebraic equations with the Pierce expansion

Published on 23 Feb 2026 - 1:22

score 342 · Answer 6 · 2026-02-23 01:25:35

342

Views

Solving a symmetric equation involving three variables a,b and c

Published on 23 Feb 2026 - 1:25

score 74 · Answer 7 · 2026-02-23 01:21:08

74

Views

Proving non-existence of real roots

Published on 23 Feb 2026 - 1:21

score 612 · Answer 8 · 2026-02-22 23:30:50

612

Views

Applying the quadratic Tschirnhausen transformation

Published on 22 Feb 2026 - 23:30

score 94 · Answer 9 · 2026-02-23 01:18:53

94

Views

Solving algebraic equations involving factorials - without trial and error.

Published on 23 Feb 2026 - 1:18

score 54 · Answer 10 · 2026-02-23 01:22:14

54

Views

Solution to $Mx-x^2=0$ where $x^2$ is the square of the elements of vector $x$

Published on 23 Feb 2026 - 1:22

score 245 · Answer 11 · 2026-02-23 01:22:36

245

Views

upper and lower limits for finding just one (real) solution of an algebraic equation (degree 5 and lower)

Published on 23 Feb 2026 - 1:22

score 80 · Answer 12 · 2026-02-23 01:23:47

80

Views

If $x$ is algebraic over a quotient field $K$ of $A$, then there exists an integral element $cx$ for some $A \ni c \neq 0$.

Published on 23 Feb 2026 - 1:23

score 178 · Answer 13 · 2026-02-23 01:20:34

178

Views

Solving $8x-3+\sqrt{x+2}-\sqrt{x-1}=7 \sqrt{x^2+x-2}$

Published on 23 Feb 2026 - 1:20

score 102 · Answer 14 · 2026-02-23 01:18:31

102

Views

how to handle a "Stiff" algebraic equation numerically?

Published on 23 Feb 2026 - 1:18

score 59 · Answer 15 · 2026-02-23 01:19:13

59

Views

Solve $(1+x)^2=A\sqrt{1+Cx}$ for $x$.

Published on 23 Feb 2026 - 1:19

List Question

Is $-1$ sum of squares in the field $\mathbb{Q(\beta)}$ where $\beta = 2^{1/3}e^{2\pi i /3}$

Equations of Value Unknown interest rate

Does this equation imply separation of variables?

Solving $x^2 y''(x) + 6x y'(x) - 9y(x) =0$ with similar techniques that are used to solve algebraic equations

approximating irrational roots of algebraic equations with the Pierce expansion

Solving a symmetric equation involving three variables a,b and c

Proving non-existence of real roots

Applying the quadratic Tschirnhausen transformation

Solving algebraic equations involving factorials - without trial and error.

Solution to $Mx-x^2=0$ where $x^2$ is the square of the elements of vector $x$

upper and lower limits for finding just one (real) solution of an algebraic equation (degree 5 and lower)

If $x$ is algebraic over a quotient field $K$ of $A$, then there exists an integral element $cx$ for some $A \ni c \neq 0$.

Solving $8x-3+\sqrt{x+2}-\sqrt{x-1}=7 \sqrt{x^2+x-2}$

how to handle a "Stiff" algebraic equation numerically?

Solve $(1+x)^2=A\sqrt{1+Cx}$ for $x$.

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