document.write( "Question 122353: What is the solution to \"%282%2B5i%29%2F%285%2B2i%29\"? \n" ); document.write( "
Algebra.Com's Answer #89847 by Edwin McCravy(20060)\"\" \"About 
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document.write( "What is the solution to \"%282%2B5i%29%2F%285%2B2i%29\"?\r\n" );
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document.write( "\"%282%2B5i%29%2F%285%2B2i%29\"\r\n" );
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document.write( "Put parentheses around numerator and\r\n" );
document.write( "denominator:\r\n" );
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document.write( "\"%28%282%2B5i%29%29%2F%28%285%2B2i%29%29\"\r\n" );
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document.write( "Form the conjugate of the denominator by\r\n" );
document.write( "changing the sign of its term with \"i\".\r\n" );
document.write( "The conjugate of denominator \"%285%2B2i%29\"\r\n" );
document.write( "is \"%285-2i%29\".\r\n" );
document.write( "So we multiply by \"%28%285-2i%29%29%2F%28%285-2i%29%29\"\r\n" );
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document.write( "\"%28%282%2B5i%29%29%2F%28%285%2B2i%29%29\"·\"%28%285-2i%29%29%2F%28%285-2i%29%29\"\r\n" );
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document.write( "\"%28%282%2B5i%29%285-2i%29%29%2F%28%285%2B2i%29%285-2i%29%29\"\r\n" );
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document.write( "Us FOIL on top and bottom:\r\n" );
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document.write( "\"%2810-4i%2B25i-10i%5E2%29%2F%2825-10i%2B10i-4i%5E2%29\"\r\n" );
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document.write( "Combine terms:\r\n" );
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document.write( "\"%2810%2B21i-10i%5E2%29%2F%2825-4i%5E2%29\"\r\n" );
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document.write( "replace \"i%5E2\" by \"-1\"\r\n" );
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document.write( "\"%2810%2B21i-10%28-1%29%29%2F%2825-4%28-1%29%29\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"%2810%2B21i%2B10%29%2F%2825%2B4%29\"\r\n" );
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document.write( "Combine terms\r\n" );
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document.write( "\"%2820%2B21i%29%2F%2829%29\"\r\n" );
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document.write( "Write as two fractions:\r\n" );
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document.write( "\"20%2F29%2B21%2F29\"\"i\"\r\n" );
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document.write( "Edwin

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