SOLUTION: 1) If a-bi = 2+i / 1-i which of the following is true A) a=1 b=3 B) a=-1/2 b=-3/2 C) a=3/2 b=1/2 D)a=1/2 b=-3/2

Question 1088883: 1) If a-bi = 2+i / 1-i which of the following is true
A) a=1 b=3
B) a=-1/2 b=-3/2
C) a=3/2 b=1/2
D)a=1/2 b=-3/2

Found 3 solutions by josgarithmetic, math_helper, ikleyn:
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!

Continue with this and simplify it,... to get
.

If no mistakes made (steps done off the page), then for
.
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

=
=
=
�
Comparing this to a - bi, we notice and
Answer by ikleyn(52769)   (Show Source): You can put this solution on YOUR website!
.

The correct answer is and .

The answer by @josgarithmetic is INCORRECT.

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On complex numbers, see introductory lessons
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".

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