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19 votes
If (2i/2+i)-(3i/3+i)=a+bi, then b=

User JomanJi
by
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2 Answers

13 votes
13 votes

Answer:

b = -1/10.

Explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

= (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

= 5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

User Mohsen
by
2.9k points
10 votes
10 votes

Answer:

A=1/10 B=-1/10

Explanation:

Answer for Plato

User J Pimmel
by
3.3k points