document.write( "Question 1087868: Solve the equation by completing the square.
\n" ); document.write( "n2 -10n-11=-12 \n" ); document.write( "

Algebra.Com's Answer #702141 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve the equation by completing the square.
\n" ); document.write( " n^2 - 10n -11 =-12
\n" ); document.write( " n^2 - 10n + __ = -12 + 11
\n" ); document.write( " n^2 - 10n + __ = -1
\n" ); document.write( "Complete the square, half the coefficient of n squared, add to both sides
\n" ); document.write( " n^2 - 10n + 25 = -1 + 25
\n" ); document.write( " n^2 - 10n + 25 = 24
\n" ); document.write( "(n - 5)^2 = 24
\n" ); document.write( "find the square root of both sides
\n" ); document.write( "n - 5 = +/- $\"sqrt%2824%29\"$
\n" ); document.write( "add 5 to both sides, simplify the radical
\n" ); document.write( "n = 5 + $\"2sqrt%286%29\"$
\n" ); document.write( "and
\n" ); document.write( "n = 5 - $\"2sqrt%286%29\"$ \n" ); document.write( "

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