document.write( "Question 317423: WHAT IS COMPLEX NUMBER \n" ); document.write( "

Algebra.Com's Answer #227302 by Fombitz(32388) $\"\"$ $\"About$

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, $\"z=x%2Biy\"$ .
\n" ); document.write( "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.
\n" ); document.write( "The solutions for $\"x%5E2%2Ba%5E2=0\"$ are $\"x=ai\"$ and $\"x=-ai\"$ .
\n" ); document.write( " $\"x%5E2=-a%5E2\"$
\n" ); document.write( " $\"x%5E2=%28-1%29%28a%5E2%29\"$
\n" ); document.write( " $\"sqrt%28x%5E2%29=sqrt%28%28-1%29%28a%5E2%29%29\"$
\n" ); document.write( " $\"x=0+%2B-+a%2Asqrt%28-1%29\"$
\n" ); document.write( " $\"x=0+%2B-+ai\"$
\n" ); document.write( "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. \n" ); document.write( "

\n" );