SOLUTION: Find the product of 1+3i and it's conjugate. The answer is a a+bi where:
The real number a equals________
The real number b equals________
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Question 1001113: Find the product of 1+3i and it's conjugate. The answer is a a+bi where:
The real number a equals________
The real number b equals________
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The conjugate of is
the product is:
...
You end up with
So it becomes
Which equals
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The product of any binomial and its conjugate is the difference of two squares. Just remember that 
, so that 
is the sum of the squares of the two real parts and 
is zero.
John
My calculator said it, I believe it, that settles it
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