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Complex numbers are theoretically interesting; they help us better understand the real numbers in some cases.They also have some very practical applications, including:
* Electrical circuits - in AC, things like resistance, current, and voltage acquire a phase angle, thus becoming complex numbers.
* Quantum mechanics - the probability amplitude is described with a complex number. As a result, complex numbers basically permeate all of quantum mechanics.
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What jobs use complex numbers?
electrical engineers and quantum mechanics use them.
Is there any use of complex numbers in geometry?
Yes, many
How to solve synthetic division with complex numbers?
I'm not sure about how to use complex numbers to do this, but I've posted a link to a pretty neat website about Synthetic Division.
How do quantum mechanics use complex numbers?
using contraction and expansion
What is the relation of complex numbers to real numbers?
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
