In this tutorial I show you how to solve problems involving complex numbers by equating the real and imaginary parts.

Find a and b in the following.

  1. \dfrac{{a + 2bi - b + ai}}{{7 - 2i}} = {1}
  2. \ (a + b)(5 - i) = 10a + b + 1 - (2a + 1)i
  3. \ (a + bi)(2 - 3i) = ab + 6 + ai