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

Elma Wilson 2021-12-04 Answered
Write each quotient as a complex number. 43i14i
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Expert Answer

Daniel Williams
Answered 2021-12-05 Author has 14 answers
Write each quotient as a complex number
43i14i
Key concept: you can use complex conjugates to simplify quotients of complex numbers.
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
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