Worked examples

Complex numbers

One sheet for each type of problem, with several worked examples of increasing difficulty: first the computation, then the explanation in words. Each sheet starts with links to the theory it uses.

• 1Operations and quotients in algebraic form
• 2Trigonometric and exponential forms in the various quadrants
• 3Powers with De Moivre's formula
• 4n-th roots
• 5Quadratic equations with negative discriminant
• 6Equations of the form z^n = w
• 7Equations with conjugate and modulus
• 8Loci with the modulus and factorizations of real polynomials