195k views
1 vote
Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i) =

(4 + 5i)(4 – 5i) =

User Stevemac
by
8.1k points

2 Answers

3 votes

Answer:

73

41

Explanation:

User Korteee
by
8.1k points
0 votes

Answer:

The product of each pair of complex conjugates is:

(3 + 8i)(3 – 8i) = (9 - 8^2) + i(9 + 8^2) = (-81) + i(99) = (-81) + i(11) = (-81) + 11i

And

(4 + 5i)(4 – 5i) = (16 - 25) + i(16 + 25) = (-9) + i(41) = (-9) + 41i

So, the products are:

(-81) + 11i

and

(-9) + 41i

User Cdbitesky
by
8.3k points

Related questions

2 answers
1 vote
14.8k views
1 answer
0 votes
35.6k views
1 answer
20 votes
15.6k views