document.write( "Question 696963: What is equalent to 5+i/2i \n" ); document.write( "

Algebra.Com's Answer #429527 by algebrahouse.com(1659) $\"\"$ $\"About$

You can put this solution on YOUR website!
5 + i
\n" ); document.write( "-----
\n" ); document.write( " 2i\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5 + i (i)
\n" ); document.write( "----- --- {multiplied top and bottom by i to rationalize the denominator}
\n" ); document.write( " 2i (i)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5i + i²
\n" ); document.write( "-------- {multiplied}
\n" ); document.write( " 2i²\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5i + (-1)
\n" ); document.write( "--------- {i² is -1}
\n" ); document.write( " 2(-1)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5i - 1
\n" ); document.write( "------- {simplified}
\n" ); document.write( " -2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-1 + 5i
\n" ); document.write( "-------- {re-arranged numerator}
\n" ); document.write( " -2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1 - 5i
\n" ); document.write( "------- {multiplied top and bottom by -1}
\n" ); document.write( " 2
\n" ); document.write( "
For more help from me, visit: www.algebrahouse.com

\n" ); document.write( " \n" ); document.write( "

\n" );