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for ryan Simply for the following quotient of complex numbers

 

Customer Question

for ryan

Simply for the following quotient of complex numbers into the form a+bi

-8-8i/1+2i

Submitted: 332 days and 12 hours ago.
Category: Math Homework
Value: $21
Status: CLOSED

Accepted Answer

Picture
Expert:  Ryan replied332 days and 12 hours ago.

Hi,

Thank you for requesting me.

To simplify this, you need to multiply both the numerator and the denominator by the "complex conjugate" of the denominator. The complex conjugate is formed by changing the sign on the imaginary part.

Therefore, the conjugate of "1 + 2i" is "1 - 2i"

Multiplying the numerator and denominator by 1 - 2i gives:

[(-8 - 8i)*(1 - 2i)] / [(1 + 2i)(1 - 2i)] = (-24 + 8i) / 5 = -24/5 + (8/5)i

Solution:
graphic

Thanks,

Ryan

Expert TypeEngineer
Category: Math Homework
Pos. Feedback: 99.6 %
Accepts: 411
Answered: 6/20/2012

Experience: B.S. in Civil Engineering

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