document.write( "Question 419986: $\"+sqrt+%28x%5E2%2B10x%29+=+x%2B4+\"$ \n" ); document.write( "

Algebra.Com's Answer #293618 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"sqrt%28x%5E2%2B10x%29+=+x%2B4+\"$
\n" ); document.write( "Square both sides:
\n" ); document.write( " $\"%28sqrt%28x%5E2%2B10x%29%29%5E2+=+%28x%2B4%29%5E2+\"$
\n" ); document.write( "Foil the right sides (x+4)(x+4)
\n" ); document.write( "x^2 + 10x = x^2 + 8x + 16
\n" ); document.write( ";
\n" ); document.write( "combine the x's on the left
\n" ); document.write( "x^2 - x^2 + 10x - 8x = 16
\n" ); document.write( "2x = 16
\n" ); document.write( "x = $\"16%2F2\"$
\n" ); document.write( "x = 8
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check in original equation
\n" ); document.write( " $\"sqrt%288%5E2%2B10%288%29%29+=+8%2B4+\"$
\n" ); document.write( " $\"sqrt%2864%2B80%29+=+12+\"$
\n" ); document.write( " $\"sqrt%28144%29+=+12+\"$ ; confirms our solution of x=8 \n" ); document.write( "

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