document.write( "Question 904575: sqrt(2x-3)+x=3 \n" ); document.write( "

Algebra.Com's Answer #548800 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%282x-3%29%2Bx=3\"$
\n" ); document.write( " $\"sqrt%282x-3%29=3-x\"$
\n" ); document.write( " $\"2x-3=%283-x%29%5E2\"$
\n" ); document.write( " $\"2x-3=9-6x%2Bx%5E2\"$
\n" ); document.write( " $\"x%5E2-8x%2B12=0\"$
\n" ); document.write( " $\"%28x-2%29%28x-6%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-2=0\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "Verify the solution:
\n" ); document.write( " $\"sqrt%282%282%29-3%29%2B2=3\"$
\n" ); document.write( " $\"sqrt%284-3%29%2B2=3\"$
\n" ); document.write( " $\"sqrt%281%29%2B2=3\"$
\n" ); document.write( " $\"1%2B2=3\"$
\n" ); document.write( " $\"3=3\"$
\n" ); document.write( "True. Good solution.
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\n" ); document.write( " $\"x-6=0\"$
\n" ); document.write( " $\"x=6\"$
\n" ); document.write( "Verify the solution:
\n" ); document.write( " $\"sqrt%282%286%29-3%29%2B6=3\"$
\n" ); document.write( " $\"sqrt%2812-3%29%2B6=3\"$
\n" ); document.write( " $\"sqrt%289%29%2B6=3\"$
\n" ); document.write( " $\"3%2B6=3\"$
\n" ); document.write( " $\"9=3\"$
\n" ); document.write( "False. Not a good solution.
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"highlight_green%28x=2%29\"$
\n" ); document.write( " \n" ); document.write( "

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