trigonometry question

Question

Divide the complex number 3 + 2i by 7 + i, then give your result in a + bi form.

Answer 1

Multiply the numerator and denominator by the conjugate of the denominator, 7 - i:

[(3+2i)(7-i)] / [(7+i)(7-i)] = [21 + 11i -2i²] / [49 - i²]

= (23 + 11i) / 50 = (23/50) + (11/50)i