SOLUTION: Solve W2+6w-11=0 using complete square method

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Question 977653: Solve W2+6w-11=0 using complete square method
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Solve W2+6w-11=0 using complete square method
:
w^2 + 6w + __ = 11
Half the coefficient of w and square it: (6/2)^2 = 9, add to both sides
w^2 + 6w + 9 = 11 + 9
w^2 + 6w + 9 = 20
Which is
(w + 3)^2 = 20
find the square root of both sides
w + 3 = +/-sqrt%2820%29
w + 3 = +/-sqrt%284%2A5%29
extract the square root of 4
w + 3 = +/-2sqrt%285%29
Two solutions
w+=+-3+%2B+2sqrt%285%29
and
w+=+-+3+-+2sqrt%285%29