SOLUTION: Name the complex conjugate, then find product of the complex number with its conjugate. 3-i answers: A) -3+i;10 B) 3+i;8 C) 3+i;10 D) -3+i;8

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Name the complex conjugate, then find product of the complex number with its conjugate. 3-i answers: A) -3+i;10 B) 3+i;8 C) 3+i;10 D) -3+i;8      Log On


   

Question 146081: Name the complex conjugate, then find product of the complex number with its conjugate.
3-i
answers:
A) -3+i;10
B) 3+i;8
C) 3+i;10
D) -3+i;8
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The complex conjugate of a complex number, (a+bi) is just (a-bi), so for:
%283-i%29 the complex conjugate is (3+i) and the product of these two can be found using the FOIL method:
%283-i%29%283%2Bi%29+=+9%2B3i-3i-i%5E2 Simplify the product:
9-i%5E2 Substitute i%5E2+=+-1
9-%28-1%29+=+9%2B1 = 10
Answer C: (3+i), 10