document.write( "Question 738388: sqrt(2x+3)-sqrt(x+1)=1 \n" ); document.write( "
Algebra.Com's Answer #450797 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%282x%2B3%29-sqrt%28x%2B1%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%282x%2B3%29=sqrt%28x%2B1%29%2B1\"....raise both side to power of \"2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%282x%2B3%29%29%5E2=%28sqrt%28x%2B1%29%2B1%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B3=x%2B1%2B2sqrt%28x%2B1%29%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B3-x-2=2sqrt%28x%2B1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B1=2sqrt%28x%2B1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%2F2=sqrt%28x%2B1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B1%29%2F2%29%5E2=%28sqrt%28x%2B1%29%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2%2F4=x%2B1\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2%2F4-x-1=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2-4x-4=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B2x%2B1-4x-4=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-3=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2%2Bx-3x-3=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2Bx%29-%283x%2B3%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x%2B1%29-3%28x%2B1%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-3%29%28x%2B1%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "solutions\r
\n" ); document.write( "\n" ); document.write( "if \"x-3=0\", the \"x=3\"\r
\n" ); document.write( "\n" ); document.write( "if \"x%2B1=0\", the \"x=-1\"\r
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