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mitchelsewbaran
 2 years ago
Find the product of the complex number and its conjugate.
3 + 3i
mitchelsewbaran
 2 years ago
Find the product of the complex number and its conjugate. 3 + 3i

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whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0The complex conjugate of a+bi is a  bi. The product of a complex number and its conjugate will be \[(a+bi)(abi)=a^2abi+abi+b^2i^2=a^2b^2\]

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry, I made a sign mistake, that should be \[(a+bi)(abi)= a^2abi+abib^2i^2=a^2+b^2\]

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0So you have a = 3, b = 3, and the result is 3^2+3^2=18

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0the i terms cancel out, and the i^2 term just changes sign because i^2= 1
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