I thought the completed square was the first part that was worked out.
x^2 - 8x - 5
(x - 4)^2 - 16 without the - 5 being added, why am I wrong?
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Completing the square is a technique for converting a quadratic polynomial of the forminto the form
where
are constants.
So that's what we've done here and notice.
Does this answers your questions? ...
If you want to have a confirmation take a look here:
http://www.wolframalpha.com/input/?i=complete+the+square+of+x^2-8x-5