document.write( "Question 48021: Solve for x Square root [x-1] =x-7 \n" ); document.write( "

Algebra.Com's Answer #31753 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"sqrt%28x-1%29+=+x-7\"$ First, square both sides of the equation.
\n" ); document.write( " $\"x-1+=+x%5E2-14x%2B49\"$ Subtract x from both sides.
\n" ); document.write( " $\"-1+=+x%5E2-15x%2B49\"$ Now add 1 to both sides.
\n" ); document.write( " $\"0+=+x%5E2-15x%2B50\"$ Factor the right side.
\n" ); document.write( " $\"0+=+%28x-5%29%28x-10%29\"$ Apply the zero products principle.
\n" ); document.write( " $\"x-5+=+0\"$ and/or $\"x-10+=+0\"$
\n" ); document.write( "If $\"x-5+=+0\"$ then $\"x+=+5\"$
\n" ); document.write( "If $\"x-10+=+0\"$ the $\"x+=+10\"$ \r
\n" ); document.write( "\n" ); document.write( "The roots are:
\n" ); document.write( "x = 5
\n" ); document.write( "x = 10 \n" ); document.write( "

\n" );