Question

Find out if cubic equation has real solution or complex ones?

score 91 · Answer 1 · 2026-03-25 13:52:50

91

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Find out if cubic equation has real solution or complex ones?

Published on 25 Mar 2026 - 13:52

score 214 · Answer 2 · 2019-02-18 20:28:17

214

Views

If $\cos x+\cos y+\cos z=0=\sin x+\sin y+\sin z$ then prove that $\sin(2x-y-z)+\sin(2y-z-x)+\sin(2z-x-y)=0$

Published on 18 Feb 2019 - 20:28

score 36 · Answer 3 · 2026-03-28 01:48:24

36

Views

Interpreting ${z\in \mathbb{C} : A\vert z \vert^2 - \bar{B}z + C = 0}$ geometrically?

Published on 28 Mar 2026 - 1:48

score 117 · Answer 4 · 2026-03-25 09:49:29

117

Views

Proof that $\bar D(-1,\frac14)$ lies inside the Mandelbrot set

Published on 25 Mar 2026 - 9:49

score 133 · Answer 5 · 2019-02-19 14:35:28

133

Views

Does $\arg(z_1-z_2)=0$ imply $|z_1-z_2|=||z_1|-|z_2||$

Published on 19 Feb 2019 - 14:35

score 372 · Answer 6 · 2019-02-20 01:54:53

372

Views

A simple clarification of Polar form and Euler form

Published on 20 Feb 2019 - 1:54

score 107 · Answer 7 · 2019-02-20 03:03:42

107

Views

Geometric significance of trigonometric functions for the complex plane

Published on 20 Feb 2019 - 3:03

score 90 · Answer 8 · 2026-03-29 06:55:13

90

Views

Is my intuition of imaginary numbers correct?

Published on 29 Mar 2026 - 6:55

score 597 · Answer 9 · 2026-03-26 13:51:41

597

Views

Rank of the element-wise square of a matrix

Published on 26 Mar 2026 - 13:51

score 171 · Answer 10 · 2019-02-20 22:30:52

Prove $\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{1+c}+\frac{1}{1+d}=2$ if $\frac{1}{a+w}+\frac{1}{b+w}+\frac{1}{c+w}+\frac{1}{d+w}=\frac{2}{w}$

score 1.3k · Answer 11 · 2019-02-21 04:06:56

1.3k

Views

Converting complex numbers to their $x+iy$ form

Published on 21 Feb 2019 - 4:06

score 1.4k · Answer 12 · 2019-02-21 07:01:35

1.4k

Views

How to express $z +\frac{1}{z}$ in polar form

Published on 21 Feb 2019 - 7:01

score 60 · Answer 13 · 2019-02-22 05:17:18

60

Views

Is this any different from normal integration?

Published on 22 Feb 2019 - 5:17

score 98 · Answer 14 · 2026-03-26 14:35:02

98

Views

Find $\sum_{i=1}^{n-1}\frac{1}{2-a^i}$ if $1,a,a^2,...,a^{n-1}$ are the n$^\text{th}$ roots of unity

Published on 26 Mar 2026 - 14:35

score 107 · Answer 15 · 2026-03-30 13:19:10

107

Views

Absolute value of complex exponential divided by complex number

Published on 30 Mar 2026 - 13:19

List Question

Find out if cubic equation has real solution or complex ones?

If $\cos x+\cos y+\cos z=0=\sin x+\sin y+\sin z$ then prove that $\sin(2x-y-z)+\sin(2y-z-x)+\sin(2z-x-y)=0$

Interpreting ${z\in \mathbb{C} : A\vert z \vert^2 - \bar{B}z + C = 0}$ geometrically?

Proof that $\bar D(-1,\frac14)$ lies inside the Mandelbrot set

Does $\arg(z_1-z_2)=0$ imply $|z_1-z_2|=||z_1|-|z_2||$

A simple clarification of Polar form and Euler form

Geometric significance of trigonometric functions for the complex plane

Is my intuition of imaginary numbers correct?

Rank of the element-wise square of a matrix

Prove $\frac{1}{1+a}+\frac{1}{1+b}+\frac{1}{1+c}+\frac{1}{1+d}=2$ if $\frac{1}{a+w}+\frac{1}{b+w}+\frac{1}{c+w}+\frac{1}{d+w}=\frac{2}{w}$

Converting complex numbers to their $x+iy$ form

How to express $z +\frac{1}{z}$ in polar form

Is this any different from normal integration?

Find $\sum_{i=1}^{n-1}\frac{1}{2-a^i}$ if $1,a,a^2,...,a^{n-1}$ are the n$^\text{th}$ roots of unity

Absolute value of complex exponential divided by complex number

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