# #(1 + 3i) (2 - ki) = 29# ?

##### 1 Answer

Aug 21, 2017

Either that

or the

#### Explanation:

If

#(1+3i)(2-6i) = 2+18 = 2color(red)(0)#

So either there's a typo in the question (understandable since the

If

#(1+3i)(2-ki) = 29#

Divide both sides by

#2-ki = 29/(1+3i) = (29(1-3i))/((1-3i)(1+3i)) = (29(1-3i))/10#

Hence:

#ki = 2-(29(1-3i))/10 = (20-29(1-3i))/10 = (-9+87i)/10#

So:

#k = 87/10+9/10i#