document.write( "Question 742094: $\"sqrt%2820-x%29%2B8=sqrt%289-x%29%2B11\"$ \n" ); document.write( "

Algebra.Com's Answer #452268 by mananth(16946) $\"\"$ $\"About$

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$\"sqrt%2820-x%29%2B8=sqrt%289-x%29%2B11\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%2820-x%29-sqrt%289-x%29=11-8\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"sqrt%2820-x%29-sqrt%289-x%29=3\"$ \r
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\n" ); document.write( "\n" ); document.write( "square both sides\r
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\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%2820-x%29-sqrt%289-x%29%29%5E2=9\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"20-x%2B9-x+-2sqrt%28%2820-x%29%289-x%29%29=9\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"29-2x+-2sqrt%28%2820-x%29%289-x%29%29=9\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+-2sqrt%28%2820-x%29%289-x%29%29=9-29%2B2x\"$ \r
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\n" ); document.write( "\n" ); document.write( "square both sides\r
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\n" ); document.write( "\n" ); document.write( " $\"4%2820-x%29%289-x%29=%28-20%2B2x%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"4%28180-29x%2Bx%5E2%29=400-80x%2B4x%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"180-29x%2Bx%5E2=100-20x%2Bx%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( "9x=80\r
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