Write each quotient as a complex number. \frac{4-3i}{-1-4i}

Elma Wilson

Elma Wilson

Answered question

2021-12-04

Write each quotient as a complex number. 43i14i

Answer & Explanation

Daniel Williams

Daniel Williams

Beginner2021-12-05Added 14 answers

Each quotient should be written as a complex number.
43i14i 
The key idea is that complex conjugates can be used to reduce the complexity of complex number quotients.
43i14i(1+4i) 
Rewrite the quotient so you are able to distribute 
(1+4i)(43i)(1+4i)(14i) 
Distribute 
4+3i+16i12i21+4i4i162 
Key Concept: i21 
4+3i+16i12(1)1+4i4i16(1) 
Simplify the equation 
8+19i17 
Simplify so the real part is apart from the imaginary part 
817+19i17 
Result: 
817+19i17

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?