document.write( "Question 188637: True or False....\r
\n" ); document.write( "\n" ); document.write( "1 + 3/(2 − i) = 5 - i \r
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Algebra.Com's Answer #141442 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"1+%2B+3%2F%282+-+i%29\" Start with the left side of the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2B+%283%282+%2B+i%29%29%2F%28%282+-+i%29%282+%2B+i%29%29\" Multiply the fraction by \"%282%2Bi%29%2F%282%2Bi%29\" (this is to make the denominator a real number)\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2B+%283%282+%2B+i%29%29%2F%284-i%5E2%29\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2B+%283%282+%2B+i%29%29%2F%284-%28-1%29%29\" Plug in \"i%5E2=-1\"\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2B+%283%282+%2B+i%29%29%2F%284%2B1%29\" Rewrite the denominator\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2B+%283%282+%2B+i%29%29%2F%285%29\" Add\r
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\n" ); document.write( "\n" ); document.write( "\"1+%2B+%286%2B3i%29%2F%285%29\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"5%2F5+%2B+%286%2B3i%29%2F%285%29\" Multiply the first term 1 by \"5%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"%285%2B6%2B3i%29%2F%285%29\" Combine the fractions\r
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\n" ); document.write( "\n" ); document.write( "\"%2811%2B3i%29%2F%285%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"11%2F5%2B%283i%29%2F%285%29\" Break up the fraction\r
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\n" ); document.write( "\n" ); document.write( "Since \"11%2F5%3C%3E5\" and \"%283i%29%2F%285%29%3C%3E-i\", this means that \"11%2F5%2B%283i%29%2F%285%29%3C%3E5-i\"\r
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\n" ); document.write( "\n" ); document.write( "So consequently \"1+%2B+3%2F%282+-+i%29%3C%3E5-i\"\r
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\n" ); document.write( "\n" ); document.write( "So the statement is false.
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