List questions from complex-numbers

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check if following sets are groups with multiplying in $\mathbb{C}$

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Are real numbers a subset of the complex numbers?

Published on 12 Apr 2026 - 8:00

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ODE - question to the solution of $y''+4y=0$

Published on 12 Apr 2026 - 13:56

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Can someone verify whether i am correct in saying that the square root of negative one SHOULD NOT exist, make sense, or equal "i" or +/-i?

Published on 15 Apr 2026 - 10:05

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Exercise about intervals of the real line

Published on 12 Apr 2026 - 4:40

118

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Factorize $z^6 + 1$, and deduce $\cos{3x} = \cos{x}(2\cos{x}+\sqrt{3})(2\cos{x}-\sqrt{3})$

Published on 17 Apr 2026 - 13:52

117

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Complex equation $\left | z - 1 \right | = \left | z + 1 \right | + 3$

Published on 15 Apr 2026 - 20:33

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Simplifying a complex number divided by a real

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Pythagorean triplet mutiple angles

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Convergence of a power series at a point

Published on 13 Apr 2026 - 1:33

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Why is ${(i^{4})}^{2n}$ = 1?

Published on 13 Apr 2026 - 22:50

87

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Imaginary numbers: polar form division: switching of signs

Published on 07 Apr 2026 - 19:09

138

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Is $(-1)^x=(e^{\pi i})^x$

Published on 13 Apr 2026 - 11:49

256

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What is the value of $(-1)^{\frac {2}{2}}$?

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List Question

Differential Equation: Sinusoidal Identity problem

check if following sets are groups with multiplying in $\mathbb{C}$

Are real numbers a subset of the complex numbers?

ODE - question to the solution of $y''+4y=0$

Can someone verify whether i am correct in saying that the square root of negative one SHOULD NOT exist, make sense, or equal "i" or +/-i?

Exercise about intervals of the real line

Factorize $z^6 + 1$, and deduce $\cos{3x} = \cos{x}(2\cos{x}+\sqrt{3})(2\cos{x}-\sqrt{3})$

Complex equation $\left | z - 1 \right | = \left | z + 1 \right | + 3$

Simplifying a complex number divided by a real

Pythagorean triplet mutiple angles

Convergence of a power series at a point

Why is ${(i^{4})}^{2n}$ = 1?

Imaginary numbers: polar form division: switching of signs

Is $(-1)^x=(e^{\pi i})^x$

What is the value of $(-1)^{\frac {2}{2}}$?

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