document.write( "Question 338125: I don't know if is the right topic.
\n" ); document.write( "the problem just says to solve.\r
\n" ); document.write( "\n" ); document.write( "((( x=2 sqrt (x+3) )))\r
\n" ); document.write( "\n" ); document.write( "I tried to square it on both sides and then factor it but it doesn't workout \r
\n" ); document.write( "\n" ); document.write( "please help me.
\n" ); document.write( "thanks.
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Algebra.Com's Answer #242379 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
(Use triple braces \"{ { {\" not triple parentheses \"( ( (\" when posting algebra expressions and equations on here)
\n" ); document.write( "I don't know if is the right topic.
\n" ); document.write( "the problem just says to solve.\r
\n" ); document.write( "\n" ); document.write( "\"x=2sqrt%28x%2B3%29\"\r
\n" ); document.write( "\n" ); document.write( "I tried to square it on both sides and then factor it but it doesn't workout \r
\n" ); document.write( "\n" ); document.write( "please help me.
\n" ); document.write( "thanks.\r
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document.write( "\"x=2sqrt%28x%2B3%29+\"\r\n" );
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document.write( "\"%28x%29%5E2=%282sqrt%28x%2B3%29%29%5E2+\"\r\n" );
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document.write( "\"x%5E2=2%5E2%28x%2B3%29\"\r\n" );
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document.write( "\"x%5E2=4%28x%2B3%29\"\r\n" );
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document.write( "\"x%5E2=4x%2B12\"\r\n" );
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document.write( "Get 0 on the right:\r\n" );
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document.write( "But radical equations must be checked because sometimes\r\n" );
document.write( "they give extraneous \"solutions\", which are not solutions\r\n" );
document.write( "at all.\r\n" );
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document.write( "Checking these two answers in the original equation:\r\n" );
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document.write( "Checking \"x=6\"\r\n" );
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document.write( "\"+x=2sqrt%28x%2B3%29+\"\r\n" );
document.write( "\"+6=2sqrt%286%2B3%29+\"\r\n" );
document.write( "\"+6=2sqrt%289%29+\" \r\n" );
document.write( "\"+6=2%2A3+\"\r\n" );
document.write( "\"6=6\"\r\n" );
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document.write( "That checks so 6 is a solution:\r\n" );
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document.write( "Checking \"x=-2\"\r\n" );
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document.write( "\"+x=2sqrt%28x%2B3%29+\"\r\n" );
document.write( "\"+-2=2sqrt%28-2%2B3%29+\"\r\n" );
document.write( "\"+-2=2sqrt%281%29+\" \r\n" );
document.write( "\"+-2=2%281%29+\"\r\n" );
document.write( "\"-2=2\"\r\n" );
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document.write( "That doesn't check, so -2 is not a solution.\r\n" );
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document.write( "So there is just one solution, 6 \r\n" );
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document.write( "Edwin

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