Question 1087868
Solve the equation by completing the square.
 n^2 - 10n -11 =-12
 n^2 - 10n + __ = -12 + 11 
 n^2 - 10n + __ = -1
Complete the square, half the coefficient of n squared, add to both sides 
 n^2 - 10n + 25 = -1 + 25
 n^2 - 10n + 25 = 24
(n - 5)^2 = 24 
find the square root of both sides
n - 5 = +/-{{{sqrt(24)}}}
add 5 to both sides, simplify the radical 
n = 5 + {{{2sqrt(6)}}}
and
n = 5 - {{{2sqrt(6)}}}