Question

Find the quotient. Write your answer in standard form. 3+ O A. + COLO O B.-1 O C. 1-1 OD. llo 011

Answer 1

Option A is correct.

The given complex number is

`(3+i)/(3-i)`

Multiply the numerator and denominator by 3+i and solve as follows:

`\begin{gathered} (3+i)/(3-1)*(3+i)/(3-i)=((3+i)^2)/(3^2-i^2) \\ =(3^2+i^2+6i)/(9+1) \\ =(9-1+6i)/(10) \\ =(8+6i)/(10) \\ =(8)/(10)+(6)/(10)i \\ =(4)/(5)+(3)/(5)i \end{gathered}`