SOLUTION: which of the following is the result of dividing the complex number 4-3i by the complex number 2+i A) 1-10i B)1-2i C) 2-2i D) 4-5i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: which of the following is the result of dividing the complex number 4-3i by the complex number 2+i A) 1-10i B)1-2i C) 2-2i D) 4-5i      Log On


   

Question 52359: which of the following is the result of dividing the complex number 4-3i by the complex number 2+i
A) 1-10i
B)1-2i
C) 2-2i
D) 4-5i
Answer by venugopalramana(3286) About Me  (Show Source):
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which of the following is the result of dividing the complex number 4-3i by the complex number 2+i
(4-3i)(2-i)/(2+i)(2-i)
=(8-4i-6i-3)/(2^2-i^2)
=(5-10i)/5
=1-2i...................B is the answer
A) 1-10i
B)1-2i
C) 2-2i
D) 4-5i