Question

4-3i find multiplicative inverse

Answer 1

Step-by-step explanation:

3-4 is the multiplicative inverse of 4-3

Answer 2

Answer :

The required multiplicative inverse is

(4 + 3i)/25

Solution :

If x be considered as the multiplicative inverse of 4 - 3i,

(4 - 3i) x = 1

or, x = 1/(4 - 3i)

or, x = (4 + 3i)/{(4 - 3i)(4 + 3i)}

or, x = (4 + 3i)/(16 - 9i²)

or, x = (4 + 3i)/(16 + 9) , since i² = - 1

or, x = (4 + 3i)/25

∴ the required multiplicative inverse is

(4 + 3i)/25