document.write( "Question 255548: square root x+3 = 13 -square root x \n" ); document.write( "

Algebra.Com's Answer #187924 by EMStelley(208) $\"\"$ $\"About$

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$\"sqrt%28x%2B3%29=13-sqrt%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Since the two square roots are already on opposite sides of the equal sign, our first step is to square both sides:\r
\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%28x%2B3%29%29%5E2+=+%2813-sqrt%28x%29%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B3+=+169-26sqrt%28x%29%2Bx\"$ \r
\n" ); document.write( "\n" ); document.write( "Now we combine like terms and isolate the sqrt(x):\r
\n" ); document.write( "\n" ); document.write( " $\"-166+=+-26sqrt%28x%29\"$
\n" ); document.write( " $\"83%2F13+=+sqrt%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Now we square both sides again:\r
\n" ); document.write( "\n" ); document.write( " $\"6889%2F169+=+x\"$ \n" ); document.write( "

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