document.write( "Question 166950: 2x^2-3x+1=0
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Algebra.Com's Answer #122978 by Edwin McCravy(20055)\"\" \"About 
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Edwin's solution:
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document.write( "\"2x%5E2-3x%2B1=0\"\r\n" );
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document.write( "Isolate the variable terms by\r\n" );
document.write( "adding -1 to both sides:\r\n" );
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document.write( "\"2x%5E2-3x=-1\"\r\n" );
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document.write( "Divide thru by 2, the coefficient of the \r\n" );
document.write( "term in \"x%5E2\"\r\n" );
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document.write( "\"%282%2F2%29x%5E2-%283%2F2%29x=-1%2F2\"\r\n" );
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document.write( "\"x%5E2-%283%2F2%29x=-1%2F2\"\r\n" );
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document.write( "To the side, multiply the coefficient of x by \"1%2F2\".\r\n" );
document.write( "\"-3%2F2%29%281%2F2%29=-3%2F4\"\r\n" );
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document.write( "Now square \"-3%2F4\".  \"%28-3%2F4%29%5E2=9%2F16\"\r\n" );
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document.write( "Add \"9%2F16\" to both sides of\r\n" );
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document.write( "\"x%5E2-%283%2F2%29x%2B9%2F16=-1%2F2%2B9%2F16\"\r\n" );
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document.write( "Combine the right side: \"-1%2F2%2B9%2F16=-8%2F16%2B9%2F16=1%2F16\"\r\n" );
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document.write( "\"x%5E2-%283%2F2%29x%2B9%2F16=1%2F16\"\r\n" );
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document.write( "Factor the left side:\r\n" );
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document.write( "\"%28x-3%2F4%29%28x-3%2F4%29=1%2F16\"\r\n" );
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document.write( "Write the left side as the square of\r\n" );
document.write( "a binomial:\r\n" );
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document.write( "\"%28x-3%2F4%29%5E2=1%2F16\"\r\n" );
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document.write( "Take the square root of both sides,\r\n" );
document.write( "remembering the ± on the right:\r\n" );
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document.write( "\"sqrt%28%28x-3%2F4%29%5E2%29+=+%22%22+%2B-sqrt%281%2F16%29\"\r\n" );
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document.write( "\"x-3%2F4\"=±\"1%2F4\"\r\n" );
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document.write( "\"x=3%2F4%2B-1%2F4\"\r\n" );
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document.write( "Using the +\r\n" );
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document.write( "\"x=3%2F4%2B1%2F4\"\r\n" );
document.write( "\"x=4%2F4\"\r\n" );
document.write( "\"x=1\"\r\n" );
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document.write( "Using the -\r\n" );
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document.write( "\"x=3%2F4-1%2F4\"\r\n" );
document.write( "\"x=2%2F4\"\r\n" );
document.write( "\"x=1%2F2\"\r\n" );
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document.write( "The solutions are \"1\" and \"1%2F2\"\r\n" );
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document.write( "Edwin
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