document.write( "Question 489811: Solve in standard form (a + bi) \r
\n" ); document.write( "\n" ); document.write( "(2+i)/i \r
\n" ); document.write( "\n" ); document.write( "I first multiplied by i/i to get the following:\r
\n" ); document.write( "\n" ); document.write( "2i + i^2\r
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\n" ); document.write( "\n" ); document.write( "2i - 1\r
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\n" ); document.write( "\n" ); document.write( "-1 + 2i which is standard form so I thought I was correct.\r
\n" ); document.write( "\n" ); document.write( "However, the student solution manual that I have shows to multiply by -i/-i instead of i/i which is what I did. When doing so they get opposite answer that I do of 1 - 2i. I'm wondering why that manual suggests the answer is 1 - 2i and why they used the negative i over i versus positive. \r
\n" ); document.write( "\n" ); document.write( "I really just need to know or understand how they arrived at using the negative. \n" ); document.write( "

Algebra.Com's Answer #333781 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "It is perfectly OK to use .  You will get the same answer\r\n" );
document.write( "if you do it correctly.  You just made a mistake.\r\n" );
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document.write( "The reason they tell you to use  is because they\r\n" );
document.write( "want ONE rule to work for all problems.\r\n" );
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document.write( "When you have \r\n" );
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document.write( "They always tell you to multiply by the conjugate of the denominator\r\n" );
document.write( "over itself:\r\n" );
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document.write( "You problem  is really the same as ,\r\n" );
document.write( "so to follow that rule you would multiply by ,\r\n" );
document.write( "which is the same as .\r\n" );
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document.write( "It would also work to use  but they don't\r\n" );
document.write( "want to tell you to multiply by the negative of the conjugate of\r\n" );
document.write( "the denominator over itself.\r\n" );
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document.write( "Using \r\n" );
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document.write( "Since ,\r\n" );
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document.write( "Separate into two fractions: \r\n" );
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document.write( "----------------------------------\r\n" );
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document.write( "Or you can use \r\n" );
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document.write( "Since ,\r\n" );
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document.write( "------------------------\r\n" );
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document.write( "Edwin

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