document.write( "Question 7853: What is 2-4i divided by 3+5i? \n" ); document.write( "

Algebra.Com's Answer #4308 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
The goal here is to get the complex number out from under. You can do this by multiplying the denominator by its complex conjugate which is: 3-5i\r
\n" ); document.write( "\n" ); document.write( " $\"%282-4i%29%2F%283%2B5i%29+=+%28%282-4i%29%283-5i%29%29%2F%28%283%2B5i%29%283-5i%29%29\"$ = $\"%286-22i%2B20i%5E2%29%2F%289-25i%5E2%29\"$ = $\"%28-14-22i%29%2F%289%2B25%29\"$ = $\"-%2814%2B22i%29%2F34\"$ = $\"-%287%2B11i%29%2F17\"$ \n" ); document.write( "

\n" );