Complex Numbers
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Introduction
Argand Diagrams
Complex Algebra
De Moivre's Theorem
Complex Conjugates


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-Introduction-

In algebra there is a problem in solving equation such as i2 = -1. This problem can be overcome by introducing complex numbers. These take the form x + i.y, where i = Ö(-1) and x and y are real numbers. The squareroot of -a2 can be written as a.i and such a number is called imaginary. A complex number can be split into 2 parts, imaginary and real. x is the real part and y is the imaginary part.

Another way of thinking about complex numbers is to imagine a real number line. An imaginary number must not lie on this line so we could say that i is located at this point

Number Line

Complex numbers can also be written in other forms from their position on the number line. Complex numbers are extremely important in Mathematics and other sciences.