96.4k views
4 votes
Write the expression (1-2i)/(2-3i) as a complex number in standard form

2 Answers

2 votes

Answer:

8/13 - 1/13i

Explanation:

User Tevya
by
6.3k points
3 votes
The "conjugate" of the complex denominator here is 2+3i. Mult. numerator and denominator of the given expression by this 2+3i.

(2+3i)(1-2i)
---------------- = ------------ = -----------------
(2+3i)(2-3i) 4 + 9 13

Please finish (do the indicated multiplication).
User Salaros
by
5.7k points