Question

Find the product of −4−5i and its conjugate. The answer is a+bi where

Answer 1

Answer:

a = 41

b = 0

Explanation:

Given

-4 - 5i

The conjugate is:

-4 + 5i

Their product is:

(-4 - 5i)(-4 + 5i) = (-4)(-4) + (-4)(5i) - (5i)(-4) - (5i)(5i)

= 16 - 20i + 20i + 25

= 16 + 25

= 41

OR

41 + 0i

Where a = 41, b = 0