document.write( "Question 457869: Solve by completing the square:\r
\n" ); document.write( "\n" ); document.write( "m^2-1/2m=7/2\r
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Algebra.Com's Answer #314074 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
To complete the square, take 1/2
\n" ); document.write( "of the coefficient of $\"m\"$ ,
\n" ); document.write( "square it, and add it to both sides
\n" ); document.write( " $\"+m%5E2+-+%281%2F2%29%2Am+=+7%2F2+\"$
\n" ); document.write( " $\"+m%5E2+-+%281%2F2%29%2Am+%2B+%281%2F4%29%5E2+=+7%2F2+%2B+%281%2F4%29%5E2+\"$
\n" ); document.write( " $\"+m%5E2+-+%281%2F2%29%2Am+%2B+1%2F16+=+56%2F16+%2B+1%2F16+\"$
\n" ); document.write( " $\"+%28+m+-+1%2F4+%29%5E2+=+57%2F16+\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"+m+-+1%2F4+=+sqrt%2857%29+%2F+4+\"$
\n" ); document.write( " $\"+m+=+%281+%2B+sqrt%2857%29%29+%2F+4+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+m+=+%281+-+sqrt%2857%29%29+%2F+4+\"$
\n" ); document.write( "check answers:
\n" ); document.write( " $\"+sqrt%2857%29+=+7.55+\"$
\n" ); document.write( " $\"+m+=+%281+-+7.55%29%2F4+\"$
\n" ); document.write( " $\"+m+=+-1.637+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+m%5E2+-+%281%2F2%29%2Am+=+7%2F2+\"$
\n" ); document.write( " $\"+%28-1.637%29%5E2+-+%281%2F2%29%2A%28-1.637%29+=+3.5+\"$
\n" ); document.write( " $\"+2.680+%2B+.8185+=+3.5+\"$
\n" ); document.write( " $\"+3.4985+=+3.5+\"$
\n" ); document.write( "close enough- you can check other root
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