document.write( "Question 71911: Find the solution set for (radical 3x+7)+(radical x+6)=3.
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Algebra.Com's Answer #51399 by galactus(183)\"\" \"About 
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\"sqrt%283x%2B7%29%2Bsqrt%28x%2B6%29=3\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%283x%2B7%29=3-sqrt%28x%2B6%29\"\r
\n" ); document.write( "\n" ); document.write( "Square both sides and get:\r
\n" ); document.write( "\n" ); document.write( "\"3x%2B7=x%2B15-6sqrt%28x%2B6%29\"\r
\n" ); document.write( "\n" ); document.write( "Subtract x+15 from both sides and get:\r
\n" ); document.write( "\n" ); document.write( "\"2x-8=-6sqrt%28x%2B6%29\"\r
\n" ); document.write( "\n" ); document.write( "Square both sides again:\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-32x%2B64=36x%2B216\"\r
\n" ); document.write( "\n" ); document.write( "\"4x%5E2-68x-152=0\"\r
\n" ); document.write( "\n" ); document.write( "Divide by 4:\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-17x-38=0\"\r
\n" ); document.write( "\n" ); document.write( "Factor:\r
\n" ); document.write( "\n" ); document.write( "(x-19)(x+2)=0\r
\n" ); document.write( "\n" ); document.write( "Only one of these is viable. The other is extraneous.\r
\n" ); document.write( "\n" ); document.write( "Checking in the original equation, we see x=-2 is the solution.
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