SOLUTION: Hi. Expressed in {{{a + bi}}} form, {{{5/(3 + i)}}} is equivalent to: A) {{{15 - 5i}}}, B) {{{3/2 - 1/2}}}{{{i}}}, C) {{{5/3 - 5i}}}, D) {{{15/8

SOLUTION: Hi. Expressed in {{{a + bi}}} form, {{{5/(3 + i)}}} is equivalent to: A) {{{15 - 5i}}}, B) {{{3/2 - 1/2}}}{{{i}}}, C) {{{5/3 - 5i}}}, D) {{{15/8 - 5/8}}}{{{i}}}

Question 205028: Hi.
Expressed in form, is equivalent to:
A) , B) , C) , D)
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
Expressed in form, is equivalent to:
A) 15 - 5i, B) (3/2) - (1/2i), C) (5/3) - 5i, D) (15/8) - (5/8i)




Form the conjugate of the denominator by changing the
sign of the term containing .  The conjugate of
 is  so we multiply by the fraction
 which just equals  and will not
change the value:

�

Indicate the multiplication of the tops and bottoms:



Distribute the top, FOIL out the denominator:







Now we substitute  for 











Make two fractions:



Write  as 



Edwin

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