document.write( "Question 317296: Solve the quadratic equation by completing the square:
\n" ); document.write( "m^2-1/2m=7/2 \n" ); document.write( "

Algebra.Com's Answer #227167 by nerdybill(7384) $\"\"$ $\"About$

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Solve the quadratic equation by completing the square:
\n" ); document.write( " $\"m%5E2-%281%2F2%29m=7%2F2\"$
\n" ); document.write( "We need to add a term to complete square:
\n" ); document.write( " $\"m%5E2-%281%2F2%29m+%2B+___+=+7%2F2+%2B+___\"$
\n" ); document.write( "The term is $\"%28%281%2F2%29b%29%5E2\"$ = $\"%28%281%2F2%29%281%2F2%29%29%5E2\"$ = $\"%281%2F4%29%5E2\"$ = $\"1%2F16\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"m%5E2-%281%2F2%29m+%2B+%281%2F16%29+=+7%2F2+%2B+%281%2F16%29\"$
\n" ); document.write( "Factoring the left:
\n" ); document.write( " $\"+%28m-%281%2F4%29%29%28m-%281%2F4%29%29+=+7%2F2+%2B+%281%2F16%29\"$
\n" ); document.write( " $\"+%28m-%281%2F4%29%29%5E2+=+7%2F2+%2B+%281%2F16%29\"$
\n" ); document.write( " $\"+%28m-%281%2F4%29%29%5E2+=+56%2F16+%2B+1%2F16\"$
\n" ); document.write( " $\"+%28m-%281%2F4%29%29%5E2+=+57%2F16\"$
\n" ); document.write( " $\"+m-%281%2F4%29+=+sqrt%2857%2F16%29\"$
\n" ); document.write( " $\"+m+=+sqrt%2857%2F16%29+%2B+%281%2F4%29\"$
\n" ); document.write( " $\"+m+=+sqrt%2857%29%2F4+%2B+1%2F4\"$
\n" ); document.write( " $\"+m+=+%28sqrt%2857%29%2B1%29%2F4\"$
\n" ); document.write( " $\"+m+=+2.1375\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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