212k views
4 votes
The midpoint of the complex numbers 3 - 12i and 7 + 6i is 5 + bi . What is the value of b?

User Pavelgj
by
7.0k points

1 Answer

3 votes

The midpoint between two complex numbers x+yi and u+vi is given by:


(x+u)/(2)+(y+v)/(2)i

Plugging the values of the numbers given we have:


(3+7)/(2)+(-12+6)/(2)i=(10)/(2)-(6)/(2)i=5-3i

Therefore the value of b is -3

User Jarod Young
by
6.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.