Question

find the multiplicative inverse of complex number 4 - 3i/4-5i

Answer 1

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Step-by-step explanation:

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

​

i