Question

Write the following in the rectangular form:

`bar(3"i") + 1/(2 - "i")`

Answer 1

`bar(3"i") + 1/(2 - "i") = - 3"i" + 1/(2 - "i") xx (2 + "i")/(2 + "i")`

= `- 3 "i" + (2 + "i")/((2)^2 - ("i")^2`

= `- 3"i" + (2 + "i")/(4 + 1)`

= `- 3"i" + (2 + "i")/5`

= `(- 15"i" + 2 + "i")/5`

= `(2 - 14"i")/5`

= `2/5 - 14/5 "i"`