document.write( "Question 32638: sqrt of x+9-3 = sqrt of x-6 \n" ); document.write( "

Algebra.Com's Answer #19162 by mukhopadhyay(490) $\"\"$ $\"About$

You can put this solution on YOUR website!
sqrt(x+9) - 3 = sqrt(x-6)
\n" ); document.write( "Square both sides:
\n" ); document.write( "(x+9) - 6sqrt(x+9) + 9 = (x-6)
\n" ); document.write( "=> 6sqrt(x+9) = (x+9)+9-(x-6)
\n" ); document.write( "=> 6sqrt(x+9) = 24
\n" ); document.write( "=> sqrt(x+9) = 4
\n" ); document.write( "=> (x+9) = 16 (Square both sides again)
\n" ); document.write( "=> x = 7 \n" ); document.write( "

\n" );