document.write( "Question 204240: SOLVE BY COMPLETING THE SQUARE
\n" ); document.write( " M^2 - (1/2)M = (7/2) \n" ); document.write( "

Algebra.Com's Answer #154215 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
SOLVE BY COMPLETING THE SQUARE
\n" ); document.write( " $\"M%5E2+-+%281%2F2%29+M+=+7%2F2\"$
\n" ); document.write( ":
\n" ); document.write( " $\"M%5E2+-+%281%2F2%29M\"$ + ___ = $\"7%2F2\"$
\n" ); document.write( "divide the coefficient of m by 2 and square it, add to both sides
\n" ); document.write( " $\"M%5E2+-+%281%2F2%29M+%2B+1%2F16\"$ = $\"7%2F2+%2B+1%2F16\"$
\n" ); document.write( ":
\n" ); document.write( " $\"M%5E2+-+%281%2F2%29M+%2B+1%2F16\"$ = $\"56%2F16+%2B+1%2F16\"$
\n" ); document.write( ":
\n" ); document.write( " $\"M%5E2+-+%281%2F2%29M+%2B+1%2F16\"$ = $\"57%2F16\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%28M+-+1%2F4%29%5E2\"$ = $\"57%2F16\"$
\n" ); document.write( "Find the square root of both sides:
\n" ); document.write( " $\"M+-+1%2F4\"$ = +/- $\"sqrt%2857%2F16%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"M+-+1%2F4\"$ = +/- $\"%281%2F4%29sqrt%2857%29\"$
\n" ); document.write( ":
\n" ); document.write( "M = $\"1%2F4+%2B-+%281%2F4%29sqrt%2857%29\"$
\n" ); document.write( "we can write the two solutions:
\n" ); document.write( "M = $\"%281+%2B+sqrt%2857%29%29%2F4\"$
\n" ); document.write( "and
\n" ); document.write( "M = $\"%281+-+sqrt%2857%29%29%2F4\"$ \n" ); document.write( "

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