Question

Complex Integral of $\frac{1}{z^2-4}$

score 707 · Answer 1 · 2026-04-13 20:19:29

707

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Complex Integral of $\frac{1}{z^2-4}$

Published on 13 Apr 2026 - 20:19

score 88 · Answer 2 · 2026-04-15 07:00:26

88

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Double inequality containing the argument of a complex number and two angle values

Published on 15 Apr 2026 - 7:00

score 239 · Answer 3 · 2026-04-16 21:14:28

239

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Show that $|z-c|\leq|1-\bar{c}z|$ for $c,z\in\mathbb{C}$, $|c|\leq1, |z|\leq1$

Published on 16 Apr 2026 - 21:14

score 180 · Answer 4 · 2026-03-26 11:01:04

180

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$\cos(\pi/7)$ is a root of $8x^3-4x^2-4x+1=0$. How is the polynomial generated?

Published on 26 Mar 2026 - 11:01

score 1.5k · Answer 5 · 2026-04-09 16:41:20

1.5k

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Show that there are certain properties for (z-i)/(z+i)

Published on 09 Apr 2026 - 16:41

score 34 · Answer 6 · 2026-04-12 02:40:23

34

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$ a $ can't assume what value?

Published on 12 Apr 2026 - 2:40

score 75 · Answer 7 · 2026-04-13 18:08:50

75

Views

The value of $\sum_{k=1}^{10} [\sin\frac{2\pi k}{11} + i\cos\frac{2\pi k}{11}]$

Published on 13 Apr 2026 - 18:08

score 69 · Answer 8 · 2026-04-16 00:27:24

69

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If $\left|z+\frac{2}{z}\right |=2$, then prove that max value of $|z|$ is $\sqrt 3 + 1$

Published on 16 Apr 2026 - 0:27

score 149 · Answer 9 · 2026-04-16 14:04:24

149

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If $\left|z+\frac{2}{z}\right |=2$, then prove that max value of $|z|$ is $\sqrt 3 + 1$ (Corrected version)

Published on 16 Apr 2026 - 14:04

score 88 · Answer 10 · 2026-04-17 06:20:06

88

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Evaluate $\left(1+\sin\frac{\pi}{5}+i\cos\frac{\pi}{5}\right)^5+i\left(1+\sin\frac{\pi}{5}-i\cos\frac{\pi}{5}\right)^5$

Published on 17 Apr 2026 - 6:20

score 82 · Answer 11 · 2026-04-15 03:15:46

82

Views

Complex numbers such that $(z-4)^4=-1$

Published on 15 Apr 2026 - 3:15

score 54 · Answer 12 · 2026-04-13 01:24:18

54

Views

Raising a Complex Number to a Power

Published on 13 Apr 2026 - 1:24

score 41 · Answer 13 · 2026-04-13 01:09:23

41

Views

Find a complex number that uphold an equation

Published on 13 Apr 2026 - 1:09

score 417 · Answer 14 · 2026-04-13 18:05:39

417

Views

Euler's Theorem Limit

Published on 13 Apr 2026 - 18:05

score 68 · Answer 15 · 2026-03-26 17:36:50

68

Views

Spot the mistake of -1=1 proof

Published on 26 Mar 2026 - 17:36

List Question

Complex Integral of $\frac{1}{z^2-4}$

Double inequality containing the argument of a complex number and two angle values

Show that $|z-c|\leq|1-\bar{c}z|$ for $c,z\in\mathbb{C}$, $|c|\leq1, |z|\leq1$

$\cos(\pi/7)$ is a root of $8x^3-4x^2-4x+1=0$. How is the polynomial generated?

Show that there are certain properties for (z-i)/(z+i)

$ a $ can't assume what value?

The value of $\sum_{k=1}^{10} [\sin\frac{2\pi k}{11} + i\cos\frac{2\pi k}{11}]$

If $\left|z+\frac{2}{z}\right |=2$, then prove that max value of $|z|$ is $\sqrt 3 + 1$

If $\left|z+\frac{2}{z}\right |=2$, then prove that max value of $|z|$ is $\sqrt 3 + 1$ (Corrected version)

Evaluate $\left(1+\sin\frac{\pi}{5}+i\cos\frac{\pi}{5}\right)^5+i\left(1+\sin\frac{\pi}{5}-i\cos\frac{\pi}{5}\right)^5$

Complex numbers such that $(z-4)^4=-1$

Raising a Complex Number to a Power

Find a complex number that uphold an equation

Euler's Theorem Limit

Spot the mistake of -1=1 proof

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