Write the quotient in standard form. (Simplify your answer completely.)

Question

8-7i / 1-2i

"/" = (divided by)

Answer 1

(8 - 7i)/(1 - 2i) = [(8 - 7i)(1 + 2i)]/[(1 - 2i)(1 + 2i)] = (8 + 16i - 7i -14i²)/(1 - 4i²) = (22 + 9i)/(1 + 4) = 22/5 + 9/5i.

Keep in mind: i² = -1