document.write( "Question 1039579: Solve the equation:\r
\n" ); document.write( "\n" ); document.write( "6x = sqrt(24+12x)\r
\n" ); document.write( "\n" ); document.write( "x = -3/2, 1
\n" ); document.write( "x = 3/2, 1
\n" ); document.write( "x = 2/3, 1
\n" ); document.write( "x = -2/3, 1
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Algebra.Com's Answer #654387 by Edwin McCravy(20066)\"\" \"About 
You can put this solution on YOUR website!
[Note: The code you used doesn't work here.\r\n" );
document.write( "Use html or just ordinary writing with no code.\r\n" );
document.write( "Or use the special code of this site]\r\n" );
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document.write( "\"6x=sqrt%2824%2B12x%29\"\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "\"%286x%29%5E2=%28sqrt%2824%2B12x%29%29%5E2\"\r\n" );
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document.write( "\"36x%5E2=24%2B12x\"\r\n" );
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document.write( "Get 0 on the right and left side in descending\r\n" );
document.write( "order:\r\n" );
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document.write( "\"36x%5E2-12x-24=0\"\r\n" );
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document.write( "Divide every term on both sides by 12\r\n" );
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document.write( "\"3x%5E2-x-2=0\"\r\n" );
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document.write( "Factor the left side:\r\n" );
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document.write( "\"%283x%2B2%29%28x-1%29=0\"\r\n" );
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document.write( "Use the zero-factor property:\r\n" );
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document.write( "Checking \"x=-2%2F3\" in original:\r\n" );
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document.write( "\"6x=sqrt%2824%2B12x%29\"\r\n" );
document.write( "\"6%28-2%2F3%29=sqrt%2824%2B12%28-2%2F3%29%29\"\r\n" );
document.write( "\"-4=sqrt%2824-8%29\"\r\n" );
document.write( "\"-4=sqrt%2816%29\"\r\n" );
document.write( "\"-4=4\"\r\n" );
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document.write( "False, so -2/3 is not a solution.\r\n" );
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document.write( "Checking \"x=1\" in original:\r\n" );
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document.write( "\"6x=sqrt%2824%2B12x%29\"\r\n" );
document.write( "\"6%281%29=sqrt%2824%2B12%281%29%29\"\r\n" );
document.write( "\"6=sqrt%2824%2B12%29\"\r\n" );
document.write( "\"6=sqrt%2836%29\"\r\n" );
document.write( "\"6=6\"\r\n" );
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document.write( "True, so the only solution is x=1.\r\n" );
document.write( "So none of the answers you listed are\r\n" );
document.write( "correct because they all allow something\r\n" );
document.write( "other than 1 to be a solution.\r\n" );
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document.write( "Edwin

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