document.write( "Question 884241: sqrt(7x+1)-sqrt(5x+4)=1
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Algebra.Com's Answer #534098 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%287x%2B1%29-sqrt%285x%2B4%29=1\"$
\n" ); document.write( " $\"%287x%2B1%29-2sqrt%28%287x%2B1%29%285x%2B4%29%29%2B5x%2B4=1\"$
\n" ); document.write( " $\"12x%2B5-2sqrt%28%287x%2B1%29%285x%2B4%29%29=1\"$
\n" ); document.write( " $\"12x%2B4=2sqrt%28%287x%2B1%29%285x%2B4%29%29\"$
\n" ); document.write( " $\"4%283x%2B1%29=2sqrt%28%287x%2B1%29%285x%2B4%29%29\"$
\n" ); document.write( " $\"2%283x%2B1%29=sqrt%28%287x%2B1%29%285x%2B4%29%29\"$
\n" ); document.write( " $\"4%289x%5E2%2B6x%2B1%29=35x%5E2%2B33x%2B4\"$
\n" ); document.write( " $\"36x%5E2%2B24x%2B4=35x%5E2%2B33x%2B4\"$
\n" ); document.write( " $\"x%5E2-9x=0\"$
\n" ); document.write( " $\"x%28x-9%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x-9=0\"$
\n" ); document.write( " $\"x=9\"$
\n" ); document.write( "Verifying the solutions:
\n" ); document.write( " $\"sqrt%287x%2B1%29-sqrt%285x%2B4%29=1\"$
\n" ); document.write( " $\"sqrt%287%280%29%2B1%29-sqrt%285%280%29%2B4%29=1\"$
\n" ); document.write( " $\"1-2=1\"$
\n" ); document.write( "False, not a real solution.
\n" ); document.write( " $\"sqrt%287x%2B1%29-sqrt%285x%2B4%29=1\"$
\n" ); document.write( " $\"sqrt%287%289%29%2B1%29-sqrt%285%289%29%2B4%29=1\"$
\n" ); document.write( " $\"sqrt%2864%29-sqrt%2849%29=1\"$
\n" ); document.write( " $\"8-7=1\"$
\n" ); document.write( " $\"1=1\"$
\n" ); document.write( "True.
\n" ); document.write( " $\"highlight_green%28x=9%29\"$ \n" ); document.write( "

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