document.write( "Question 885977: Find the quadratic equation whose roots are
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Algebra.Com's Answer #535621 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"3x%5E2%2B19x-14\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "Let \"y\"\"%22%22=%22%22\"\"2x\"\r\n" );
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document.write( "Then \"x\"\"%22%22=%22%22\"\"y%2F2\"\r\n" );
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document.write( "Substitute:\r\n" );
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document.write( "\"3%28y%2F2%29%5E2%2B19%28y%2F2%29-14\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "\"3%28y%5E2%2F4%29%2B19y%2F2-14\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "Multiply through by 4\r\n" );
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document.write( "Answer:\r\n" );
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document.write( "\"3y%5E2%2B38y-56\"\"%22%22=%22%22\"\"%22%220%22%22\"\r\n" );
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document.write( "Checking:\r\n" );
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document.write( "Solve:\r\n" );
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document.write( "\"3x%5E2%2B19x-14\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "\"%28x%2B7%29%283x-2%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "x+7 = 0;  3x-2 = 0\r\n" );
document.write( "  x = -7    3x = 2\r\n" );
document.write( "             x = \"2%2F3\"\r\n" );
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document.write( "Solve   \r\n" );
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document.write( "\"3y%5E2%2B38y-56\"\"%22%22=%22%22\"\"%22%220%22%22\"\r\n" );
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document.write( "\"%28y%2B14%29%283y-4%29\"\"%22%22=%22%22\"\"%220%22\"\r\n" );
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document.write( "y+14 = 0;   3y-4 = 0\r\n" );
document.write( "   y = -14    3y = 4\r\n" );
document.write( "               y = \"4%2F3\"\r\n" );
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document.write( "The roots of the second one are twice the roots of the first.\r\n" );
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document.write( "Edwin
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