Write the quotient in standard form.

Question

A. 2 + i/ i

B. 3 + i/ 4-3i

Answer 1

I believe for A the solution is:

(2 + i) / i = (2 + i) / (0 + i)  * (0 - i) / (0 - i)

= (-2i - i²) / -i² = (-2i + 1) = 1 - 2i

Answer 2

A. 2 + i/i

 

=> 2+1 =3

+> 3 + 0i

 

B. (3+i)/(4-3i)

 

=> multiply and divide by 4+3i

 

=> (3+i)(4+3i)/(4-3i)(4+3i)

 

=> (12 +9i + 4i -3)/(16 +9)

 

=> (9 +13i)/25

 

=> (9/25) + (13i/25)