List questions from complex-numbers

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Prove that set with complex numbers is circumference

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how one can prove that real roots, which look non-real when using Cardano's formula.

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Complex valued equivalent of $\dot{x}(t) \perp x(t)$ when $\left|x(t)\right| = \mathrm{const}$

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Prove that $a=b$ : An integral equality .

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Approximation of wave impedance equation...

Solve a complex equation with

Compute the roots of $z^{5}-4z^{3}+6=0$ in the closed first quadrant

Prove that set with complex numbers is circumference

how one can prove that real roots, which look non-real when using Cardano's formula.

can we apply algebric identities in complex numbers

Complex valued equivalent of $\dot{x}(t) \perp x(t)$ when $\left|x(t)\right| = \mathrm{const}$

Prove that $a=b$ : An integral equality .

Why the complex number $6(\sin(240^{\circ}) + i \cos(240^{\circ}))$ lies in first quadrant?

Multivariable inequality quick question

Multivariable graphing of complex inequalities

What is difference between closure of a set and closed set ?(Complex Analysis)

Complex function that is differentiable but not continuous in the neighborhood

How to solve 2nd degree complex polynomials with complex numbers as coefficients?

How to solve a complex system of equations with a conjugate

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