List questions from complex-numbers | MathQa

Prove that the complex number $z=t_1z_1+t_2z_2+t_3z_3$ lies inside a triangle with vertices $z_1,z_2,z_3$ or on its boundary.

Published on 13 Apr 2025 - 14:54

If there exist real numbers $a,b,c,d$ for which $f(a),f(b),f(c),f(d)$ form a square on the complex plane.Find the area of the square.

Published on 13 Apr 2025 - 14:51

Disguising a complex function as a real function.

Published on 12 Apr 2025 - 5:43

$Z^4 = -1$ How do I solve this without a calculator?

Published on 12 Apr 2025 - 9:10

Showing that a subset of the complex plane is open.

Published on 12 Apr 2025 - 13:12

Topology ad Geometry of $\mathbb{C}^n/\mathbb{Z}_k$

Published on 12 Apr 2025 - 15:05

Is the following series convergent or divergent?

Published on 15 Apr 2025 - 8:34

How to derive the value of $\log(-1)$?

Published on 12 Apr 2025 - 15:47

If $z^5-32$ can be factorised into linear and quadratic factors over real coefficients as $(z^5-32)=(z-2)(z^2-pz+4)(z^2-qz+4)$,then find $p^2+2p.$

Published on 14 Apr 2025 - 21:51

All roots of the equation $a_0z^n+a_1z^{n-1}+.....+a_{n-1}z+a_n=n$,lie outside the circle with center at the origin and radius $\frac{n-1}{n}$.

Published on 13 Apr 2025 - 14:53