document.write( "Question 385050: Solve for x: √(x+7)=x-5 \n" ); document.write( "

Algebra.Com's Answer #272494 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for x:
\n" ); document.write( " $\"sqrt%28x%2B7%29+=+x-5\"$ Square both sides.
\n" ); document.write( " $\"%28sqrt%28x%2B7%29%29%5E2+=+%28x-5%29%5E2\"$ Simplify.
\n" ); document.write( " $\"x%2B7+=+x%5E2-10%2B25\"$ Subtract x from both sides.
\n" ); document.write( " $\"7+=+x%5E2-11x%2B25\"$ Subtract 7 from both sides.
\n" ); document.write( " $\"x%5E2-11x%2B18+=+0\"$ Factor.
\n" ); document.write( " $\"%28x-2%29%28x-9%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"x-2+=+0\"$ or $\"x-9+=+0\"$ so...
\n" ); document.write( " $\"x+=+2\"$ or $\"x+=+9\"$ \n" ); document.write( "

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