document.write( "Question 76932: Hello,\r
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\n" ); document.write( "\n" ); document.write( "Square root of 2X + 3 = 2X - 3\r
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Algebra.Com's Answer #55146 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Square root of 2X + 3 = 2X - 3 \r\n" );
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document.write( "\"sqrt%282X%2B3%29=2X-3\"\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "\"%28sqrt%282X%2B3%29%29%5E2=%282X-3%29%5E2\"\r\n" );
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document.write( "\"2X%2B3=%282X-3%29%282X-3%29\"\r\n" );
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document.write( "Use FOIL on the right\r\n" );
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document.write( "\"2X%2B3=4X%5E2-6X-6X%2B9\"\r\n" );
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document.write( "\"2X%2B3=4X%5E2-12X%2B9\"\r\n" );
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document.write( "Get 0 on the left by adding\r\n" );
document.write( "-2X-3 to both sides\r\n" );
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document.write( "\"0=4X%5E2-14X%2B6\"\r\n" );
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document.write( "Divide every term by 2\r\n" );
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document.write( "\"0%2F2=%284X%5E2%29%2F2-%2814X%29%2F2%2B6%2F2\"\r\n" );
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document.write( "\"0=2X%5E2-7X%2B3\" \r\n" );
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document.write( "Factor the right hand side:\r\n" );
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document.write( "\"0=%28X-3%29%282X-1%29\"\r\n" );
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document.write( "Set each factor = 0\r\n" );
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document.write( "\"0=X-3\"\r\n" );
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document.write( "\"3=X\"\r\n" );
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document.write( "That's one answer.\r\n" );
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document.write( "\"0=2X-1\"\r\n" );
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document.write( "\"1=2X\"\r\n" );
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document.write( "\"1%2F2=X\"\r\n" );
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document.write( "That's the other answer.\r\n" );
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document.write( "You MUST ALWAYS check\r\n" );
document.write( "even-root equations for\r\n" );
document.write( "extraneous answers:\r\n" );
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document.write( "Checking the answer x=3\r\n" );
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document.write( "\"sqrt%282X%2B3%29=2X-3\"\r\n" );
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document.write( "\"sqrt%282%283%29%2B3%29=2%283%29-3\"\r\n" );
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document.write( "\"sqrt%286%2B3%29=6-3\"\r\n" );
document.write( "\"sqrt%289%29=+3\"\r\n" );
document.write( "\"3=3\"\r\n" );
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document.write( "That checks, so the answer x=3 is a solution.\r\n" );
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document.write( "Checking the answer x=1/2\r\n" );
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document.write( "\"sqrt%282X%2B3%29=2X-3\"\r\n" );
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document.write( "\"sqrt%282%281%2F2%29%2B3%29=2%281%2F2%29-3\"\r\n" );
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document.write( "\"sqrt%281%2B3%29=1-3\"\r\n" );
document.write( "\"sqrt%284%29=+-2\"\r\n" );
document.write( "\"2=-2\"\r\n" );
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document.write( "That DOES NOT check, so the answer x=1/2\r\n" );
document.write( "is NOT a solution.\r\n" );
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document.write( "The only solution is X=3\r\n" );
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document.write( "Edwin

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