document.write( "Question 748925: x(x-8)=-5 \n" ); document.write( "

Algebra.Com's Answer #455703 by LyokoJames(2) $\"\"$ $\"About$

You can put this solution on YOUR website!
x(x-8)=-5\r
\n" ); document.write( "\n" ); document.write( "We will solve this by completing the square\r
\n" ); document.write( "\n" ); document.write( "First, distribute the x into (x-8)
\n" ); document.write( " $\"x%5E2-8x+=+-5\"$ \r
\n" ); document.write( "\n" ); document.write( "Then move the -5 over to the left side by adding 5 to both sides
\n" ); document.write( " $\"x%5E2-8x%2B5+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( "Rewrite $\"x%5E2-8x\"$ as $\"%28x%2B4%29%5E2+-+16\"$ so you have:
\n" ); document.write( " $\"%28x%2B4%29%5E2-16%2B5+=+0\"$ which simplifies to:
\n" ); document.write( " $\"%28x%2B4%29%5E2-11=0\"$ \r
\n" ); document.write( "\n" ); document.write( "Move the -11 over by adding 11 to both sides
\n" ); document.write( " $\"%28x%2B4%29%5E2=11\"$ \r
\n" ); document.write( "\n" ); document.write( "Now that we have completed the square we can take the square root of both sides:
\n" ); document.write( " $\"x%2B4=0+%2B-+sqrt%2811%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Bring the 4 over by subtracting 4 from both sides
\n" ); document.write( " $\"x=-4%2B-sqrt%2811%29\"$
\n" ); document.write( "So $\"x=+-4%2Bsqrt%2811%29+or+x+=+-4-sqrt%2811%29\"$ } \n" ); document.write( "

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