Joe and Kim played a game involving complex numbers. Joe earned a score of 6 - 2i while Kim's score was the conjugate of Joe's score. What is the product of the two scores?
2007-04-26 12:31:39 · 4 answers · asked by hey 1 in Science & Mathematics ➔ Mathematics
The conjugate of 6 - 2i is 6 + 2i. The product is:
(6 - 2i)(6 + 2i) = 36 - 4i² = 36 + 4 = 40
The product is 40.
2007-04-26 12:55:33 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋
The conjugate is 6+2i. You multiply the two together, foiling it out: (6+2i)(6-2i)= 36+12i+12i+4i^2= 36+5=41
i=square root of (-1)
2007-04-26 19:41:27 · answer #2 · answered by MirCat 2 · 0⤊ 1⤋
congugate is when you reverse the sign of the last part
Joe =6-2i
kim =6+2i
if by product, you wanna multiply...
36-2i^2
so 36+2
so 38
2007-04-26 19:39:47 · answer #3 · answered by Briar 4 · 0⤊ 1⤋
-1
2007-04-26 19:39:44 · answer #4 · answered by need_advice 2 · 0⤊ 2⤋