SOLUTION: WHAT IS COMPLEX NUMBER

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: WHAT IS COMPLEX NUMBER       Log On


   

Question 317423: WHAT IS COMPLEX NUMBER
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complex numbers are constructions made up of a two real numbers, x,y, and an imaginary part,i, in the form,z=x%2Biy.
The important property of i is i=sqrt%28-1%29 which makes it useful to solve equations of the form,x%5E2%2Ba%5E2=0, among others.
The solutions for x%5E2%2Ba%5E2=0 are x=ai and x=-ai.
x%5E2=-a%5E2
x%5E2=%28-1%29%28a%5E2%29
sqrt%28x%5E2%29=sqrt%28%28-1%29%28a%5E2%29%29
x=0+%2B-+a%2Asqrt%28-1%29
x=0+%2B-+ai
There are many application for complex numbers that provide meaningful interpretations in the real world. Search the internet for examples and properties of complex numbers.