document.write( "Question 225247: Solve this quadratic equation using the Difference of Two Squares rule:
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Algebra.Com's Answer #168124 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"8x%5E2-2=0\"
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document.write( "Divide every term by 2\r\n" );
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document.write( "\"8x%5E2%2F2-2%2F2=0\"\r\n" );
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document.write( "\"4x%5E2-1=0\"\r\n" );
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document.write( "\"%282x%29%5E2-1%5E2=0\"\r\n" );
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document.write( "\"%282x-1%29%282x%2B1%29=0\"\r\n" );
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document.write( "2x - 1 = 0      2x + 1 = 0\r\n" );
document.write( "    2x = 1          2x = -1\r\n" );
document.write( "     x = \"1%2F2\"          x =\"-1%2F2\" \r\n" );
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document.write( "\"red%283%29x%5E2-blue%285%29x-green%2812%29=0\"\r\n" );
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document.write( "Multiply \"red%283%29\" by \"green%28-12%29\", get \"-36\"\r\n" );
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document.write( "Think of two numbers that multiply to \r\n" );
document.write( "give you \"-36\" and add to give you \"blue%28-5%29\".\r\n" );
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document.write( "Answer: \"blue%28-9%29\" and \"blue%28%22%22%2B4%29\"\r\n" );
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document.write( "So use those numbers \"blue%28-9%29\" and \"blue%28%22%22%2B4%29\"\r\n" );
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document.write( "to write the middle term \"blue%28-5x%29\" as \"blue%28-9x%2B4x%29\"\r\n" );
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document.write( "So\r\n" );
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document.write( "\"red%283%29x%5E2-blue%285%29x-green%2812%29=0\"\r\n" );
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document.write( "now becomes:\r\n" );
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document.write( "\"red%283%29x%5E2-blue%289x%2B4x%29-green%2812%29=0\"\r\n" );
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document.write( "Now out of the first two terms on the left \r\n" );
document.write( "factor out \"3x\"\r\n" );
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document.write( "\"3x%28x-3%29%2B4x-12=0\"\r\n" );
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document.write( "Out of the last two terms on the left \r\n" );
document.write( "factor out \"%22%22%2B4\"\r\n" );
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document.write( "\"3x%28x-3%29%2B4%28x-3%29=0\"\r\n" );
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document.write( "Notice that \"red%28%28x-3%29%29\" occurs in\r\n" );
document.write( "both terms on the left:\r\n" );
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document.write( "\"3x%2Ared%28%28x-3%29%29%2B4%2Ared%28%28x-3%29%29=0\"\r\n" );
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document.write( "So factor out \"red%28%28x-3%29%29\"\r\n" );
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document.write( "\"red%28%28x-3%29%29%283x%2B4%29=0\"\r\n" );
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document.write( " x - 3 = 0      3x + 4 = 0\r\n" );
document.write( "     x = 3          3x = -4\r\n" );
document.write( "                     x =\"-4%2F3\"\r\n" );
document.write( "Edwin

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