document.write( "Question 31896: 5+2i divided by -7i+3 \n" ); document.write( "
Algebra.Com's Answer #18477 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
\"+%28+%285%2B2i%29%2F%283-7i%29+%29%2A%28+%283%2B7i%29%2F%283%2B7i%29+%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now i shall do ALL the working, although the whole point of choosing 3+7i was that we can write the denominator straight away as: (9+49) thus avoiding all that unnecessary work:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+%28%285%2B2i%29%283%2B7i%29%29%2F%28%283-7i%29%283%2B7i%29%29+\"
\n" ); document.write( "\"+%2815%2B35i%2B6i%2B14i%5E2%29%2F%289%2B21i-21i-49i%5E2%29+\"
\n" ); document.write( "\"+%2815%2B41i%2B14i%5E2%29%2F%289-49i%5E2%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "now, since \"+i%5E2+=+-1+\", we get:
\n" ); document.write( "\"+%2815%2B41i%2B14%28-1%29%29%2F%289-49%28-1%29%29+\"
\n" ); document.write( "\"+%2815%2B41i-14%29%2F%289%2B49%29+\"
\n" ); document.write( "\"+%281%2B41i%29%2F%2858%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "jon.
\n" ); document.write( "
\n" ); document.write( "
\n" );