Complex Numbers
A number in the form:
represents a complex number in Standard Form
In standard form a is called the real part of the complex number and bi (where b is a real number) is called the imaginary part
If b=0, the number a+bi=a is a real number. If b does not equal 0, the number a+bi is called an imaginary number. A number of the form bi, where b does not equal 0, is called a pure imaginary number.
Equality of two complex numbers:
Operations with Complex Numbers:
Sum:
Difference:
Additive inverse:
![](http://4.bp.blogspot.com/-VNEgK8tTFGE/UHYpG-DSZQI/AAAAAAAAADY/G3l-ONowtyo/s1600/CodeCogsEqn+(6).gif)
So,
Complex Conjugates:
A pair of complex numbers of the form a+bi and a-bi that have a real number as their product
To find the quotient of a+bi and c+di where c and d are not both zero, multiply the numerator and denominator by the conjugate of the denominator to obtain
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