Complex 1302: arithmetic and equations in cartesian form (basic)

In this question, we cover basic complex arithmetic as well as solving linear and quadratic equations with complex roots.

Question types

1. simplifying of $i^n$
2. complex multiplication in cartesian form $(a+bi)(c+di)$
3. complex division in cartesian form $\frac{a+bi}{c+di}$
4. squares and cubes of a complex number in cartesian form $(a+bi)^n$
5. solving a linear equation $\alpha z + \beta = \gamma, \textrm{ where } \alpha,\beta,\gamma \in \mathbb{C}$
6. solving a quadratic equation $az^2+bz+c=0, \textrm{ where } a,b,c \in \mathbb{R} \textrm{ and } b^2 - 4ac < 0$

App preview

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