document.write( "Question 62092: Please, I need help with complex number division:\r
\n" ); document.write( "\n" ); document.write( "(4-i)/(5+i) \n" ); document.write( "

Algebra.Com's Answer #42848 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Rather than do the actual division, you can get the same result by simplifying as follows:
\n" ); document.write( " $\"%284-i%29%2F%285%2Bi%29\"$ Multiply the numerator and the denominator by complex conjugate of the denominator.
\n" ); document.write( "The complex conjugate of $\"%285%2Bi%29+=+%285-i%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%284-i%29%285-i%29%2F%285%2Bi%29%285-i%29+=+%2820-9i%2Bi%5E2%29%2F%2825-i%5E2%29\"$ Substitute $\"i%5E2+=+-1\"$
\n" ); document.write( " $\"%2820-9i%2B%28-1%29%29%2F%2825-%28-1%29%29\"$ Simplify:
\n" ); document.write( " $\"%2819-9i%29%2F%2826%29\"$ or $\"%281%2F26%29%2819-9i%29\"$ \n" ); document.write( "

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