document.write( "Question 1101649: \"1%2B3%5E%22%22%2Fx%5E%22%22\"\"%22%22=%22%22\"\"28%5E%22%22%2Fx%5E2\" solve by completing square method
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Algebra.Com's Answer #716298 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"1%2B3%5E%22%22%2Fx%5E%22%22\"\"%22%22=%22%22\"\"28%5E%22%22%2Fx%5E2\"\r\n" );
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document.write( "Multiply through by x2\r\n" );
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document.write( "\"x%5E2%2B3x\"\"%22%22=%22%22\"\"28\"\r\n" );
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document.write( "Multiply 3 by \"1%2F2\", get \"3%2F2\"\r\n" );
document.write( "Square \"3%2F2\", get \"9%2F4\"\r\n" );
document.write( "Add \"9%2F4\" to both sides:\r\n" );
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document.write( "\"x%5E2%2B3x%2B9%2F4\"\"%22%22=%22%22\"\"28%2B9%2F4\"\r\n" );
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document.write( "Factor the left side:\r\n" );
document.write( "Get LCD of 4 on the right side:\r\n" );
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document.write( "\"%28x%2B3%2F2%29%28x%2B3%2F2%29\"\"%22%22=%22%22\"\"28%2Aexpr%284%2F4%29%2B9%2F4\"\r\n" );
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document.write( "Write the left side as the square of a binomial since \r\n" );
document.write( "both factors are the same.\r\n" );
document.write( "Multiply the 28 by the numerator 4 on the right side.\r\n" );
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document.write( "\"%28x%2B3%2F2%29%5E2\"\"%22%22=%22%22\"\"112%2F4%2B9%2F4\"\r\n" );
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document.write( "Finish combining the right side:\r\n" );
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document.write( "\"%28x%2B3%2F2%29%5E2\"\"%22%22=%22%22\"\"121%2F4\"\r\n" );
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document.write( "Take square roots of both sides, remembering ±\r\n" );
document.write( "on the right side.\r\n" );
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document.write( "\"sqrt%28%28x%2B3%2F2%29%5E2%29\"\"%22%22=%22%22\"\"%22%22+%2B-+sqrt%28121%2F4%29\"\r\n" );
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document.write( "\"x%2B3%2F2\"\"%22%22=%22%22\"\"%22%22+%2B-+11%2F2\"\r\n" );
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document.write( "Use the + on the right\r\n" );
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document.write( "\"x%2B3%2F2\"\"%22%22=%22%22\"\"11%2F2\"\r\n" );
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document.write( "Subtract \"3%2F2\" from both sides:\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"11%2F2-3%2F2\" \r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"8%2F2\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"4\"  <-- that's one solution.\r\n" );
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document.write( "Go back to \r\n" );
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document.write( "\"x%2B3%2F2\"\"%22%22=%22%22\"\"%22%22+%2B-+11%2F2\"\r\n" );
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document.write( "Use the - on the right\r\n" );
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document.write( "\"x%2B3%2F2\"\"%22%22=%22%22\"\"-11%2F2\"\r\n" );
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document.write( "Subtract \"3%2F2\" from both sides:\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-11%2F2-3%2F2\" \r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-14%2F2\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"-7\"  <-- that's the other solution.\r\n" );
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document.write( "The solution set is {-7,4}\r\n" );
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document.write( "Edwin
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