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# solve (3+4i)/4+i)

### Resolved Question:

solve (3+4i)/4+i)
Submitted: 6 years ago.
Category: Homework
Expert:  abozer replied 6 years ago.
Chat Conversation Started
abozer :

Hi,

JACUSTOMER-jkm6dfov- :

hello

abozer :

Do you want to solve it or do you want to rationalize the denominator.

abozer :

You need an equation to solve for the unknown.

abozer :

So I assume you want to simplify it.

abozer :

Multiply both the nominator and the denominator by (4 - i)

abozer :

= (3 + 4i)(4 - i) / (4 + i)(4 - i)

JACUSTOMER-jkm6dfov- :

On the homework assignment I have it states to divide and simplify using the form a+bi

JACUSTOMER-jkm6dfov- :

I am just no good with these kind of equations and I ahve about ten left I can not answer

abozer :

= (3*4 - 3*i + 4*4i - 4i*i) / (4*4 - 4*i + 4*i - i*i)

abozer :

= (12 - 3i + 16i + 4) / (16 + 1)

abozer :

= (16 + 13i) / 17

abozer :

Let me know if you have any questions.

JACUSTOMER-jkm6dfov- :

the homework that Id o is online so it tells whne when putting that in if correct or not and it was not correct thats the naswer I got as well

JACUSTOMER-jkm6dfov- :

So he changed the problem on me

JACUSTOMER-jkm6dfov- :

now the problem is (3+6i)/(6+1)

abozer :

Is it 6 + i on the bottom?

JACUSTOMER-jkm6dfov- :

yes this one is

abozer :

ok. I think I understand what the problem is.

abozer :

In the previous question,

abozer :

the correct form should have been 16/17 + 13/17 i

abozer :

Let's do this question now,

abozer :

= (3 + 6i)/(6 + i)

abozer :

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

JACUSTOMER-jkm6dfov- :

yes that was correct these questions and the square root questions are really getting to me

abozer :

= (18 - 3i + 36i + 6) / (36 - 6i + 6i + 1)

abozer :

= (24 + 33i) / 37

abozer :

= 24/37 + 33/37 i

JACUSTOMER-jkm6dfov- :

correct

abozer :

This should be correct now.

JACUSTOMER-jkm6dfov- :

correct

JACUSTOMER-jkm6dfov- :

so can I ask you many questions or do I have to go different with each question this is new to me

abozer :

You can do either way. But the amount you selected is not appropriate (in my opinion) for multiple questions.

JACUSTOMER-jkm6dfov- :

see this is new to me so how do I change it and the way the contract read when I signed up was 38.oo a month so I have to pay for