document.write( "Question 37560: Here's a tough-ey... Imaginary Numbers:\r
\n" ); document.write( "\n" ); document.write( "2i+3/4-i + 1-i/4+i\r
\n" ); document.write( "\n" ); document.write( "Any Help Is GREATLY Appreciated.\r
\n" ); document.write( "\n" ); document.write( "Thank You In Advance.
\n" ); document.write( "

Algebra.Com's Answer #23173 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
2i+3/4-i + 1-i/4+i \r
\n" ); document.write( "\n" ); document.write( "One fraction at a time:
\n" ); document.write( "1st:
\n" ); document.write( "(2i+3)/(4-i)
\n" ); document.write( "Multiply numerator and denominator by (4+i) to get:
\n" ); document.write( "[(2i+3)(4+i)]/[16+1]=[12-2+11i]/17=[10+11i]/17\r
\n" ); document.write( "\n" ); document.write( "2nd:
\n" ); document.write( "Multiply num and denom by 4-1 to get:
\n" ); document.write( "[(1-i)(4-i)]/17= [(4-1)-5i]/17=[3-5i]/17\r
\n" ); document.write( "\n" ); document.write( "Adding 1st and 2nd you get:
\n" ); document.write( "[13+6i]/17\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );