Question

Find the multiplicative inverse of 4-3i. (remember multiplicative of Z is
$\frac{?1}{?2}$
​

Answer 1

Answer

Let z=4−3i.

Then,  

z

=4+3i and ∣z∣  

2

=4  

2

+(−3)  

2

=16+9=25

Therefore, the multiplicative inverse of 4−3i is given by :

z  

−1

=  

∣z∣  

2

 

z

 

​  

=  

25

4+3i

​  

=  

25

4

​  

+  

25

3

​  

ok  friend