document.write( "Question 1060489: please help me solve this equation, I have to complete the square to solve the equation below
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\n" ); document.write( " x^2+x=11/4
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Algebra.Com's Answer #675421 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"x%5E2%2Bx\"\"%22%22=%22%22\"\"11%2F4\"\r\n" );
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document.write( "\"x%5E2%2B1x\"\"%22%22=%22%22\"\"11%2F4\"\r\n" );
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document.write( "The coefficient of x is 1.\r\n" );
document.write( "Multiply it by \"1%2F2\".   \"1%2Aexpr%281%2F2%29\"\"%22%22=%22%22\"\"1%2F2\"\r\n" );
document.write( "Square what you get.        \"%281%2F2%29%5E2\"\"%22%22=%22%22\"\"1%2F4\"\r\n" );
document.write( "Add that to both sides of the equation.\r\n" );
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document.write( "\"x%5E2%2B1x%2B1%2F4\"\"%22%22=%22%22\"\"11%2F4%2B1%2F4\"\r\n" );
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document.write( "The left side now factors as \"%28x%2B1%2F2%29%28x%2B1%2F2%29\" which we write\r\n" );
document.write( "simply as \"%28x%2B1%2F2%29%5E2\", and combine the terms on the right.\r\n" );
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document.write( "\"%28x%2B1%2F2%29%5E2\"\"%22%22=%22%22\"\"12%2F4\"\r\n" );
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document.write( "Since \"12%2F4=3\",\r\n" );
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document.write( "\"%28x%2B1%2F2%29%5E2\"\"%22%22=%22%22\"\"3\"\r\n" );
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document.write( "We take square roots of both sides, remembering the ± on the right:\r\n" );
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document.write( "\"x%2B1%2F2\"\"%22%22=%22%22\"\"%22%22+%2B-+sqrt%283%29\"\r\n" );
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document.write( "Now we get two answers, one using the + sign and one using the - sign:\r\n" );
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document.write( "\"x%2B1%2F2\"\"%22%22=%22%22\"\"%22%22+%2B+sqrt%283%29\", \"x%2B1%2F2\"\"%22%22=%22%22\"\"%22%22+-+sqrt%283%29\" \r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-1%2F2+%2B+sqrt%283%29\", \"x\"\"%22%22=%22%22\"\"-1%2F2+-+sqrt%283%29\"\r\n" );
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document.write( "Edwin
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