document.write( "Question 991000: sqrt(4x+1)-sqrt(x-1)=2 \n" ); document.write( "
Algebra.Com's Answer #610923 by josgarithmetic(39616)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%284x%2B1%29-sqrt%28x-1%29=2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%284x%2B1%29=sqrt%28x-1%29%2B2\"
\n" ); document.write( "\"4x%2B1=x-1%2B4sqrt%28x-1%29%2B4\"
\n" ); document.write( "\"4x-x%2B1%2B1-4=4sqrt%28x-1%29\"
\n" ); document.write( "\"3x-4=4sqrt%28x-1%29\"
\n" ); document.write( "\"9x%5E2-24x%2B16=16%28x-1%29\"
\n" ); document.write( "\"9x%5E2-24x%2B16-16x%2B16=0\"
\n" ); document.write( "\"9x%5E2-40x%2B32=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2840%2B-+sqrt%281600-4%2A9%2832%29%29%29%2F%282%2A9%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2840%2B-+sqrt%28448%29%29%2F%282%2A9%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2840%2B-+sqrt%2816%2A28%29%29%2F%282%2A9%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=40%2F2%2B-+%284%2F2%29%281%2F9%29sqrt%2828%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=20%2B-+%282%2F9%29sqrt%2828%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28x=20%2B-+%284%2F9%29sqrt%287%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Check the minus-form carefully.
\n" ); document.write( "\"x=20-%284%2F9%292.646\"
\n" ); document.write( "\"x=18.824\", approximation. This will work, as well as the plus-form.
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