document.write( "Question 977653: Solve W2+6w-11=0 using complete square method \n" ); document.write( "

Algebra.Com's Answer #599219 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve W2+6w-11=0 using complete square method
\n" ); document.write( ":
\n" ); document.write( "w^2 + 6w + __ = 11
\n" ); document.write( "Half the coefficient of w and square it: (6/2)^2 = 9, add to both sides
\n" ); document.write( "w^2 + 6w + 9 = 11 + 9
\n" ); document.write( "w^2 + 6w + 9 = 20
\n" ); document.write( "Which is
\n" ); document.write( "(w + 3)^2 = 20
\n" ); document.write( "find the square root of both sides
\n" ); document.write( "w + 3 = +/- $\"sqrt%2820%29\"$
\n" ); document.write( "w + 3 = +/- $\"sqrt%284%2A5%29\"$
\n" ); document.write( "extract the square root of 4
\n" ); document.write( "w + 3 = +/- $\"2sqrt%285%29\"$
\n" ); document.write( "Two solutions
\n" ); document.write( " $\"w+=+-3+%2B+2sqrt%285%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"w+=+-+3+-+2sqrt%285%29\"$
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