document.write( "Question 139999This question is from textbook algebra I
\n" ); document.write( ": square root of x - 1 = x - 7 \n" ); document.write( "

Algebra.Com's Answer #102029 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for x (?):
\n" ); document.write( " $\"sqrt%28x-1%29+=+x-7\"$ Square both sides.
\n" ); document.write( " $\"%28sqrt%28x-1%29%29%5E2+=+%28x-7%29%5E2\"$ Simplify.
\n" ); document.write( " $\"x-1+=+%28x-7%29%28x-7%29\"$ Use the FOIL method to multiply the right side.
\n" ); document.write( " $\"x-1+=+x%5E2-7x-7x%2B49\"$ Combine the x-terms.
\n" ); document.write( " $\"x-1+=+x%5E2-14x%2B49\"$ Add 1 to both side.
\n" ); document.write( " $\"x+=+x%5E2-14x%2B50\"$ Subtract x from both sides.
\n" ); document.write( " $\"x%5E2-15x%2B50+=+0\"$ Factor the trinomial.
\n" ); document.write( " $\"%28x-10%29%28x-5%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"x-10+=+0\"$ or $\"x-5+=+0\"$ , so...
\n" ); document.write( " $\"x+=+10\"$ or $\"x+=+5\"$
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