Question 626561: find the following quotient and express the answer in the standard form of a complex number. -3+8i/-1+i Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! find the following quotient and express the answer in the standard form of a complex number. -3+8i/-1+i
------
Multiply numerator and denominator by -1-i to get:
------
[(-3+8i)(-1-i)]/[(-1+i)(-1-i)]
-----
= [3 + 3i -8i +8]/[1+1]
-----
= (11-5i)/2
----
= (11/2) - (5/2)i
===================
Cheers,
Stan H.
====================