document.write( "Question 175016: solve by completing the square -6x^2+48x-48=0 \n" ); document.write( "

Algebra.Com's Answer #130108 by Mathtut(3670) $\"\"$ $\"About$

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$\"-6x%5E2%2B48x-48=0\"$
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\n" ); document.write( "first factor out -6 out of the x square and x terms
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\n" ); document.write( " $\"-6%28x%5E2-8x%29-48=0\"$
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\n" ); document.write( "now take 1/2 of the x term and square it 8/2=4... $\"4%5E2\"$ =16. we also have to add 16(-6) outside the parenthesis to keep an equivalent equation
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\n" ); document.write( " $\"-6%28x%5E2-8x%2B16%29-48%2B96=0\"$
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\n" ); document.write( "now factor completed square
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\n" ); document.write( " $\"-6%28x-8%29%5E2%2B48=0\"$
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\n" ); document.write( "subtract 48 from both sides
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\n" ); document.write( " $\"-6%28x-8%29%5E2=-48\"$
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\n" ); document.write( "divide by -6 on both sides
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\n" ); document.write( " $\"%28x-8%29%5E2=8\"$
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\n" ); document.write( " $\"x-8=sqrt%288%29\"$ and $\"x-8=-sqrt%288%29\"$
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\n" ); document.write( " $\"x=2sqrt%282%29%2B8\"$ and $\"x=-2sqrt%282%29%2B8\"$ \n" ); document.write( "

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