Question

If $|z^2-3|=3|z| $ then what is the maximum value of $|z| $ where $z$ is a complex number?

score 65 · Answer 1 · 2026-04-14 13:31:27

65

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If $|z^2-3|=3|z| $ then what is the maximum value of $|z| $ where $z$ is a complex number?

Published on 14 Apr 2026 - 13:31

score 920 · Answer 2 · 2026-04-15 06:24:05

920

Views

Find the centre of the circle $z=\frac{3i-t}{2+it}$ where $t\in R$

Published on 15 Apr 2026 - 6:24

score 123 · Answer 3 · 2026-04-14 19:11:14

123

Views

Why complex $i^2=-1$?

Published on 14 Apr 2026 - 19:11

score 30 · Answer 4 · 2026-04-12 22:57:50

30

Views

Why when the angle between AM and BM is k*pi then the group of points is the line (AB) - [A,B]?

Published on 12 Apr 2026 - 22:57

score 56 · Answer 5 · 2026-04-13 17:01:32

56

Views

Find the vertices of a square of center $0$ knowing that one of them is $(3,4)$ using Complex analysis

Published on 13 Apr 2026 - 17:01

score 318 · Answer 6 · 2026-04-15 05:41:06

318

Views

Use de Moivre’s theorem to find the value of the real part of $(-7+24i)^8$

Published on 15 Apr 2026 - 5:41

score 610 · Answer 7 · 2026-04-17 05:36:29

610

Views

Find the common roots of the equations $x^{12}-1=0$ and $x^4+x^2+1=0$

Published on 17 Apr 2026 - 5:36

score 71 · Answer 8 · 2026-04-15 18:24:53

71

Views

Roots of the equation $x^4-2x^2+4=0$ form which shape?

Published on 15 Apr 2026 - 18:24

score 100 · Answer 9 · 2026-04-09 03:42:59

100

Views

An interesting geometric fact

Published on 09 Apr 2026 - 3:42

score 523 · Answer 10 · 2026-04-14 00:32:23

523

Views

Find the upper bound of the modulus of a complex polynomial using triangle inequalities

Published on 14 Apr 2026 - 0:32

score 468 · Answer 11 · 2026-04-15 08:50:35

468

Views

Let $P(z)=az^2+bz+c$, where $a,b,c$ are complex numbers. Prove that $a=0$.

Published on 15 Apr 2026 - 8:50

score 26 · Answer 12 · 2026-04-16 09:45:37

26

Views

$3 \times 3$ Grid Square pt. 2

Published on 16 Apr 2026 - 9:45

score 115 · Answer 13 · 2026-04-09 11:51:52

If $1, \omega_1,\omega_2...\omega_6$ are $7^{th}$ roots of unity, then find the value of $Im(\omega_1+\omega_2+\omega_4)$

score 525 · Answer 14 · 2026-04-09 14:44:58

525

Views

Practical uses of complex numbers

Published on 09 Apr 2026 - 14:44

score 67 · Answer 15 · 2026-04-17 14:47:43

67

Views

Find the two real numbers r and θ so that $Z1 = \overline{Z0}$

Published on 17 Apr 2026 - 14:47

List Question

If $|z^2-3|=3|z| $ then what is the maximum value of $|z| $ where $z$ is a complex number?

Find the centre of the circle $z=\frac{3i-t}{2+it}$ where $t\in R$

Why complex $i^2=-1$?

Why when the angle between AM and BM is k*pi then the group of points is the line (AB) - [A,B]?

Find the vertices of a square of center $0$ knowing that one of them is $(3,4)$ using Complex analysis

Use de Moivre’s theorem to find the value of the real part of $(-7+24i)^8$

Find the common roots of the equations $x^{12}-1=0$ and $x^4+x^2+1=0$

Roots of the equation $x^4-2x^2+4=0$ form which shape?

An interesting geometric fact

Find the upper bound of the modulus of a complex polynomial using triangle inequalities

Let $P(z)=az^2+bz+c$, where $a,b,c$ are complex numbers. Prove that $a=0$.

$3 \times 3$ Grid Square pt. 2

If $1, \omega_1,\omega_2...\omega_6$ are $7^{th}$ roots of unity, then find the value of $Im(\omega_1+\omega_2+\omega_4)$

Practical uses of complex numbers

Find the two real numbers r and θ so that $Z1 = \overline{Z0}$

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