SOLUTION: Find the product of 1+3i and it's conjugate. What does the real number a equal? What does the real number b equal? Please write the result in the form a+bi

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find the product of 1+3i and it's conjugate. What does the real number a equal? What does the real number b equal? Please write the result in the form a+bi      Log On


   

Question 1001236: Find the product of 1+3i and it's conjugate.
What does the real number a equal?
What does the real number b equal?
Please write the result in the form a+bi
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
(1 + 3i)*(1 - 3i) = 1^2 - (3i)^2 = 1 - 9*i^2 = 1 - 9*(-1) = 1 + 9 = 10.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the product of 1+3i and it's [sic] conjugate.
= a^2 + b^2
= 1 + 9
= 10
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it's = it is