SOLUTION: 1. When 3+4i / 2+i is expressed in the for a+bi, what is the value of a?
I don't understand why the answer is 2.
2. (i+1)(3-i)+(2i-1)
I tried multiplying the first two se
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Question 46996This question is from textbook CLEP Official Study Guide
: 1. When 3+4i / 2+i is expressed in the for a+bi, what is the value of a?
I don't understand why the answer is 2.
2. (i+1)(3-i)+(2i-1)
I tried multiplying the first two sets and adding the like terms with the third set but I'm not coming up with the correct answer.
This question is from textbook CLEP Official Study Guide
Answer by mathchemprofessor(65) (Show Source): You can put this solution on YOUR website!
1.Multiplying and dividing with conjugate of 2+i in the given expression, we get
(3+ 4i)(2-i)/(2+i)(2-i)=(6-3i+8i-4i^2)/(4-i^2)=(10+5i)/(4+1)=(10+5i)/5=2+i=a+bi
So, a=2
2.(i+1)(3-i)+(2i-1)=(3i-i^2+3-i)+(2i-1)=(2i+1+3)+(2i-1)=4i+3
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