document.write( "Question 159543: sqrt(2-x) - sqrt(3x+1) = 1\r
\n" ); document.write( "\n" ); document.write( "When I solve this i come up with the answer 12x = 16x^2\r
\n" ); document.write( "\n" ); document.write( "To solve for X, do I need to divide 16X by both sides? I'm a little lost at this point.
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Algebra.Com's Answer #117650 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
I didn't get to the same place.
\n" ); document.write( "\"sqrt%282-x%29+=+1+%2B+sqrt%283x%2B1%29\"
\n" ); document.write( "\"%282-x%29+=+1+%2B+2%2Asqrt%283x%2B1%29%2B%283x%2B1%29\"
\n" ); document.write( "\"%282-x%29-1-%283x%2B1%29+=+2%2Asqrt%283x%2B1%29\"
\n" ); document.write( "\"%282-1-1%29-x-3x=2%2Asqrt%283x%2B1%29\"
\n" ); document.write( "\"-4x=2%2Asqrt%283x%2B1%29\"
\n" ); document.write( "\"16x%5E2=4%283x%2B1%29\"
\n" ); document.write( "\"16x%5E2=12x%2B4\"
\n" ); document.write( "I have the additional 4.
\n" ); document.write( "Use the quadratic formula or factor for the solution.
\n" ); document.write( "\"16x%5E2-12x-4=0\"
\n" ); document.write( "\"%284x%2B1%29%284x-4%29=0\"
\n" ); document.write( "\"4x%2B1=0\"
\n" ); document.write( "\"x=-1%2F4\"
\n" ); document.write( "Check the answer
\n" ); document.write( "\"sqrt%282-x%29+-+sqrt%283x%2B1%29=1\"
\n" ); document.write( "\"sqrt%282%2B1%2F4%29-sqrt%283%28-1%2F4%29%2B1%29=1\"
\n" ); document.write( "\"1.5-0.5=1\"
\n" ); document.write( "\"1=1\"
\n" ); document.write( "True statement.
\n" ); document.write( "Good answer.
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\n" ); document.write( "\"4x-4=0\"
\n" ); document.write( "\"x=1\"
\n" ); document.write( "Check the answer
\n" ); document.write( "\"sqrt%282-x%29+-+sqrt%283x%2B1%29=1\"
\n" ); document.write( "\"sqrt%282-1%29-sqrt%283%281%29%2B1%29=1\"
\n" ); document.write( "\"1-2=1\"
\n" ); document.write( "\"-1=1\"
\n" ); document.write( "False statement.
\n" ); document.write( "Not a good answer.
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\n" ); document.write( "One solution,
\n" ); document.write( "\"x=-1%2F4\"
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\n" ); document.write( "To your question, if you were at that point,
\n" ); document.write( "\"16x%5E2=12x\"
\n" ); document.write( "Yes, divide both sides by 16x and you get,
\n" ); document.write( "\"x=12%2F16=3%2F4\"
\n" ); document.write( "But that is not a solution.
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