Exercises - Complex Numbers

Here you find exercises and solutions about the start of higher mathematics. We will discuss some complex numbers exercises.

Part 1 - Complex Conjugates

Let’s consider an equation with complex numbers and the complex conjugate $ \overline{z} $. We want to find all possible solutions of this equation in $ \mathbb{C} $.

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Part 2 - Exponential Form

Every complex number can be expressed in a polar form or exponential form, where one uses the absolute value and an angle in the complex plane to fix the complex number. Let’s use that to calculate with complex numbers, in particular to find roots in $\mathbb{C}$.